the largest known primesprimes.utm.edu/primes/lists/short.pdf · 2021. 1. 19. · 654 104 873344135...

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THE LARGEST KNOWN PRIMES (Primes with 800, 000 or more digits) (selected smaller primes which have comments are included) Originally Compiled by Samuel Yates – Continued by Chris Caldwell (Last Updated Mon 14 Jun 2021 02:40:14 PM CDT) So that I can maintain this database of the 5,000 largest known primes (plus selected smaller primes with 1,000 or more digits), please send any new primes (that are large enough) to: httpw://primes.utm.edu/bios/submission.php This list in a searchable form (plus information such as how to find large primes and how to prove primality) is available at the interactive web site: https://primes.utm.edu/primes/ See the last pages for information about the provers. Professor Chris K. Caldwell Mathematics and Statistics [email protected] University of Tennessee at Martin http://www.utm.edu/ ~ caldwell/ Martin, TN 38238, USA 1 The List of Primes The letters after the rank refer to when the prime was submitted. ‘a’ is this month, ‘b’ last month... rank description digits who year comment 12 82589933 - 1 24862048 G16 18 Mersenne 51?? 22 77232917 - 1 23249425 G15 18 Mersenne 50?? 32 74207281 - 1 22338618 G14 16 Mersenne 49?? 42 57885161 - 1 17425170 G13 13 Mersenne 48? 52 43112609 - 1 12978189 G10 08 Mersenne 47 62 42643801 - 1 12837064 G12 09 Mersenne 46 72 37156667 - 1 11185272 G11 08 Mersenne 45 82 32582657 - 1 9808358 G9 06 Mersenne 44 9 10223 · 2 31172165 +1 9383761 SB12 16 10 2 30402457 - 1 9152052 G9 05 Mersenne 43 11 2 25964951 - 1 7816230 G8 05 Mersenne 42 12 2 24036583 - 1 7235733 G7 04 Mersenne 41 13 2 20996011 - 1 6320430 G6 03 Mersenne 40 14 1059094 1048576 +1 6317602 L4720 18 Generalized Fermat 15 919444 1048576 +1 6253210 L4286 17 Generalized Fermat 16 168451 · 2 19375200 +1 5832522 L4676 17 17 7 · 2 18233956 +1 5488969 L4965 20 Divides Fermat F (18233954) 18 P hi(3, -123447 524288 ) 5338805 L4561 17 Generalized unique 19 7 · 6 6772401 +1 5269954 L4965 19 20 8508301 · 2 17016603 - 1 5122515 L4784 18 Woodall 21 3 · 2 16819291 - 1 5063112 L5230 21 22 3 · 2 16408818 +1 4939547 L5171 20 Divides GF (16408814, 3), GF (16408817, 5) 1

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  • THE LARGEST KNOWN PRIMES(Primes with 800, 000 or more digits)

    (selected smaller primes which have comments are included)Originally Compiled by Samuel Yates – Continued by Chris Caldwell

    (Last Updated Mon 14 Jun 2021 02:40:14 PM CDT)

    So that I can maintain this database of the 5,000 largest known primes (plus selected smaller primes with1,000 or more digits), please send any new primes (that are large enough) to:

    httpw://primes.utm.edu/bios/submission.php

    This list in a searchable form (plus information such as how to find large primes and how to prove primality)is available at the interactive web site:

    https://primes.utm.edu/primes/

    See the last pages for information about the provers.

    Professor Chris K. CaldwellMathematics and Statistics [email protected] of Tennessee at Martin http://www.utm.edu/~caldwell/Martin, TN 38238, USA

    1 The List of Primes

    The letters after the rank refer to when the prime was submitted. ‘a’ is this month, ‘b’ last month...

    rank description digits who year comment

    1 282589933 − 1 24862048 G16 18 Mersenne 51??2 277232917 − 1 23249425 G15 18 Mersenne 50??3 274207281 − 1 22338618 G14 16 Mersenne 49??4 257885161 − 1 17425170 G13 13 Mersenne 48?5 243112609 − 1 12978189 G10 08 Mersenne 476 242643801 − 1 12837064 G12 09 Mersenne 467 237156667 − 1 11185272 G11 08 Mersenne 458 232582657 − 1 9808358 G9 06 Mersenne 449 10223 · 231172165 + 1 9383761 SB12 16

    10 230402457 − 1 9152052 G9 05 Mersenne 4311 225964951 − 1 7816230 G8 05 Mersenne 4212 224036583 − 1 7235733 G7 04 Mersenne 4113 220996011 − 1 6320430 G6 03 Mersenne 4014 10590941048576 + 1 6317602 L4720 18 Generalized Fermat

    15 9194441048576 + 1 6253210 L4286 17 Generalized Fermat

    16 168451 · 219375200 + 1 5832522 L4676 1717 7 · 218233956 + 1 5488969 L4965 20 Divides Fermat F (18233954)18 Phi(3,−123447524288) 5338805 L4561 17 Generalized unique19 7 · 66772401 + 1 5269954 L4965 1920 8508301 · 217016603 − 1 5122515 L4784 18 Woodall21 3 · 216819291 − 1 5063112 L5230 2122 3 · 216408818 + 1 4939547 L5171 20 Divides GF (16408814, 3),

    GF (16408817, 5)

    1

    httpw://primes.utm.edu/bios/submission.phphttps://primes.utm.edu/primes/mailto:[email protected]://www.utm.edu/~caldwell/

  • rank description digits who year comment

    23 215317227 + 27658614 + 1 4610945 L5123 20 Gaussian Mersenne norm 41?,generalized unique

    24 6 · 56546983 + 1 4576146 L4965 2025 192971 · 214773498 − 1 4447272 L4965 2126 6962 · 312863120 − 1 4269952 L4944 2027 99739 · 214019102 + 1 4220176 L5008 1928 404849 · 213764867 + 1 4143644 L4976 21 Generalized Cullen29 2740879 · 213704395 − 1 4125441 L4976 19 Generalized Woodall30 479216 · 38625889 − 1 4115601 L4976 19 Generalized Woodall31 Phi(3,−143332393216) 4055114 L4506 17 Generalized unique32 213466917 − 1 4053946 G5 01 Mersenne 3933 9 · 213334487 + 1 4014082 L4965 20 Divides GF (13334485, 3)34 206039 · 213104952 − 1 3944989 L4965 2135 2805222 · 55610444 + 1 3921539 L4972 19 Generalized Cullen36 19249 · 213018586 + 1 3918990 SB10 0737 2293 · 212918431 − 1 3888839 L4965 2138 9 · 212406887 + 1 3734847 L4965 20 Divides GF (12406885, 3)39 27 · 212184319 + 1 3667847 L4965 2140 3 · 211895718 − 1 3580969 L4159 1541 3 · 211731850 − 1 3531640 L4103 1542 69 · 211718455 − 1 3527609 L4965 2043 69 · 211604348 − 1 3493259 L4965 2044 9 · 211500843 + 1 3462100 L4965 20 Divides GF (11500840, 12)45 3 · 211484018 − 1 3457035 L3993 1446 193997 · 211452891 + 1 3447670 L4398 1847 3638450524288 + 1 3439810 L4591 20 Generalized Fermat

    48 9221 · 211392194 − 1 3429397 L5267 2149 9 · 211366286 + 1 3421594 L4965 20 Generalized Fermat50 3214654524288 + 1 3411613 L4309 19 Generalized Fermat

    51 146561 · 211280802 − 1 3395865 L5181 2052 2985036524288 + 1 3394739 L4752 19 Generalized Fermat

    53 2877652524288 + 1 3386397 L4250 19 Generalized Fermat

    54 2788032524288 + 1 3379193 L4584 19 Generalized Fermat

    55 2733014524288 + 1 3374655 L4929 19 Generalized Fermat

    56 9 · 211158963 + 1 3359184 L4965 20 Divides GF (11158962, 5)57 9271 · 211134335 − 1 3351773 L4965 2158 2312092524288 + 1 3336572 L4720 18 Generalized Fermat

    59 2061748524288 + 1 3310478 L4783 18 Generalized Fermat

    60 1880370524288 + 1 3289511 L4201 18 Generalized Fermat

    61 3 · 210829346 + 1 3259959 L3770 14 Divides GF (10829343, 3),GF (10829345, 5)

    62 Phi(3,−844833262144) 3107335 L4506 17 Generalized unique63 Phi(3,−712012262144) 3068389 L4506 17 Generalized unique64 874208 · 541748416 − 1 3028951 L4976 19 Generalized Woodall65 475856524288 + 1 2976633 L3230 12 Generalized Fermat

    66 9 · 29778263 + 1 2943552 L4965 2067 1806676 · 411806676 + 1 2913785 L4668 18 Generalized Cullen68 356926524288 + 1 2911151 L3209 12 Generalized Fermat

    2

  • rank description digits who year comment

    69 341112524288 + 1 2900832 L3184 12 Generalized Fermat

    70 121 · 29584444 + 1 2885208 L5183 20 Generalized Fermat71 11 · 29381365 + 1 2824074 L4965 20 Divides GF (9381364, 6)72 27653 · 29167433 + 1 2759677 SB8 0573 90527 · 29162167 + 1 2758093 L1460 1074 6795 · 29144320 − 1 2752719 L4965 2175 1323365 · 1161323365 + 1 2732038 L4718 18 Generalized Cullen76 13 · 28989858 + 1 2706219 L4965 2077 273809 · 28932416 − 1 2688931 L1056 1778 2 · 35570081 + 1 2657605 L4965 20 Divides Phi(35570081, 2) [g427]79 25 · 28788628 + 1 2645643 L5161 21 Generalized Fermat80 2038 · 3661028507 − 1 2636562 L2054 1681 17 · 28636199 + 1 2599757 L5161 21 Divides GF (8636198, 10)82 75898524288 + 1 2558647 p334 11 Generalized Fermat

    83 25 · 28456828 + 1 2545761 L5237 21 Divides GF (8456827, 12), gener-alized Fermat

    84 39 · 28413422 + 1 2532694 L5232 2185 31 · 28348000 + 1 2513000 L5229 2186 27 · 28342438 − 1 2511326 L3483 2187 3687 · 28261084 − 1 2486838 L4965 2188 11 · 28103463 + 1 2439387 L4965 20 Divides GF (8103462, 12)89 11 · 27971110 − 1 2399545 L2484 1990 27 · 27963247 + 1 2397178 L5161 21 Divides Fermat F (7963245)91 3177 · 27954621 − 1 2394584 L4965 2192 39 · 27946769 + 1 2392218 L5226 21 Divides GF (7946767, 12)93 7 · 63072198 + 1 2390636 L4965 1994 3765 · 27904593 − 1 2379524 L4965 2195 29 · 27899985 + 1 2378134 L5161 21 Divides GF (7899984, 6)96 861 · 27895451 − 1 2376771 L4965 2197 28433 · 27830457 + 1 2357207 SB7 0498 2545 · 27732265 − 1 2327648 L4965 2199 5539 · 27730709 − 1 2327180 L4965 21

    101 1341174 · 531341174 + 1 2312561 L4668 17 Generalized Cullen102 45 · 27661004 + 1 2306194 L5200 20103 15 · 27619838 + 1 2293801 L5192 20104 3597 · 27580693 − 1 2282020 L4965 21105 7401 · 27523295 − 1 2264742 L4965 21106 45 · 27513661 + 1 2261839 L5179 20107 Phi(3,−558640196608) 2259865 L4506 17 Generalized unique108 29 · 27374577 + 1 2219971 L5169 20 Divides GF (7374576, 3)109 109838 · 53168862 − 1 2214945 L5129 20110 101 · 27345194 − 1 2211126 L1884 19111 15 · 27300254 + 1 2197597 L5167 20112 737 · 27269322 − 1 2188287 L4665 17113 118568 · 53112069 + 1 2175248 L690 20114 6039 · 27207973 − 1 2169820 L4965 21115 502573 · 27181987 − 1 2162000 L3964 14116 402539 · 27173024 − 1 2159301 L3961 14

    3

  • rank description digits who year comment

    117 3343 · 27166019 − 1 2157191 L1884 16118 161041 · 27107964 + 1 2139716 L4034 15119 27 · 27046834 + 1 2121310 L3483 18120 327 · 27044001 − 1 2120459 L4965 21121 3 · 27033641 + 1 2117338 L2233 11 Divides GF (7033639, 3)122 33661 · 27031232 + 1 2116617 SB11 07123 Phi(3,−237804196608) 2114016 L4506 17 Generalized unique124 207494 · 53017502 − 1 2109149 L5083 20125 26972593 − 1 2098960 G4 99 Mersenne 38126 6219 · 26958945 − 1 2094855 L4965 21127 51 · 26945567 + 1 2090826 L4965 20 Divides GF (6945564, 12) [p286]128 238694 · 52979422 − 1 2082532 L5081 20129 4 · 721119849 − 1 2079933 L4444 16130 146264 · 52953282 − 1 2064261 L1056 20131 69 · 26838971 − 1 2058738 L5037 20132 35816 · 52945294 − 1 2058677 L5076 20133 127 · 26836153 − 1 2057890 L1862 18134 19 · 26833086 + 1 2056966 L5166 20135 40597 · 26808509 − 1 2049571 L3749 13136 283 · 26804731 − 1 2048431 L2484 20137 1861709 · 26789999 + 1 2044000 L5191 20138 5781 · 26789459 − 1 2043835 L4965 21139 8435 · 26786180 − 1 2042848 L4965 21140 51 · 26753404 + 1 2032979 L4965 20141 9995 · 26711008 − 1 2020219 L4965 20142 39 · 26684941 + 1 2012370 L5162 20143 6679881 · 26679881 + 1 2010852 L917 09 Cullen144 37 · 26660841 − 1 2005115 L3933 14145 39 · 26648997 + 1 2001550 L5161 20146 304207 · 26643565 − 1 1999918 L3547 13147 69 · 26639971 − 1 1998833 L5037 20148 6471 · 26631137 − 1 1996175 L4965 21149 1319 · 26506224 − 1 1958572 L4965 21150 322498 · 52800819 − 1 1957694 L4954 19151 88444 · 52799269 − 1 1956611 L3523 19152 13 · 26481780 + 1 1951212 L4965 20153 138514 · 52771922 + 1 1937496 L4937 19154 398023 · 26418059 − 1 1932034 L3659 13155 1995 · 26333396 − 1 1906546 L4965 21156 1582137 · 26328550 + 1 1905090 L801 09 Cullen157 3303 · 26264946 − 1 1885941 L4965 21158 13640376262144 + 1 1870352 L4307 21 Generalized Fermat

    159 13553882262144 + 1 1869628 L4307 21 Generalized Fermat

    160 13039868262144 + 1 1865227 L5273 21 Generalized Fermat

    161 7 · 62396573 + 1 1864898 L4965 19162 12959788262144 + 1 1864525 L4591 21 Generalized Fermat

    163 12582496262144 + 1 1861162 L5202 21 Generalized Fermat

    164 12529818262144 + 1 1860684 L4871 20 Generalized Fermat

    4

  • rank description digits who year comment

    165 12304152262144 + 1 1858615 L4591 20 Generalized Fermat

    166 12189878262144 + 1 1857553 L4905 20 Generalized Fermat

    167 39 · 26164630 + 1 1855741 L4087 20 Divides GF (6164629, 5)168 11081688262144 + 1 1846702 L5051 20 Generalized Fermat

    169 10979776262144 + 1 1845650 L5088 20 Generalized Fermat

    170 10829576262144 + 1 1844082 L4677 20 Generalized Fermat

    171 194368 · 52638045 − 1 1843920 L690 18172 10793312262144 + 1 1843700 L4905 20 Generalized Fermat

    173 10627360262144 + 1 1841936 L4956 20 Generalized Fermat

    174 10578478262144 + 1 1841411 L4307 20 Generalized Fermat

    175 66916 · 52628609 − 1 1837324 L690 18176 3 · 26090515 − 1 1833429 L1353 10177 9812766262144 + 1 1832857 L4245 20 Generalized Fermat

    178 9750938262144 + 1 1832137 L4309 20 Generalized Fermat

    179 9450844262144 + 1 1828578 L5020 20 Generalized Fermat

    180 9125820262144 + 1 1824594 L5002 19 Generalized Fermat

    181 8883864262144 + 1 1821535 L4715 19 Generalized Fermat

    182 21 · 26048861 + 1 1820890 L5106 20 Divides GF (6048860, 5)183 9999 · 26037057 − 1 1817340 L4965 21184 8521794262144 + 1 1816798 L4289 19 Generalized Fermat

    185 1583 · 25989282 − 1 1802957 L4036 15186 6291332262144 + 1 1782250 L4864 18 Generalized Fermat

    187 6287774262144 + 1 1782186 L4726 18 Generalized Fermat

    188 327926 · 52542838 − 1 1777374 L4807 18189 81556 · 52539960 + 1 1775361 L4809 18190 5828034262144 + 1 1773542 L4720 18 Generalized Fermat

    191 993 · 101768283 − 1 1768286 L4879 19 Near-repdigit192 9 · 101762063 − 1 1762064 L4879 20 Near-repdigit193 5205422262144 + 1 1760679 L4201 18 Generalized Fermat

    194 5152128262144 + 1 1759508 L4720 18 Generalized Fermat

    195 4489246262144 + 1 1743828 L4591 18 Generalized Fermat

    196 2 · 33648969 + 1 1741001 L5043 20 Divides Phi(33648964, 2) [g427]197 7 · 25775996 + 1 1738749 L3325 12198 4246258262144 + 1 1737493 L4720 18 Generalized Fermat

    199 3933508262144 + 1 1728783 L4309 18 Generalized Fermat

    200 3853792262144 + 1 1726452 L4715 18 Generalized Fermat

    201 3673932262144 + 1 1721010 L4649 17 Generalized Fermat

    202 3596074262144 + 1 1718572 L4689 17 Generalized Fermat

    203 3547726262144 + 1 1717031 L4201 17 Generalized Fermat

    204 8 · 101715905 − 1 1715906 L4879 20 Near-repdigit205 1243 · 25686715 − 1 1711875 L1828 16206 25 · 25658915 − 1 1703505 L1884 21207 41 · 25651731 + 1 1701343 L1204 20208 3060772262144 + 1 1700222 L4649 17 Generalized Fermat

    209 9 · 25642513 + 1 1698567 L3432 13210 10 · 33550446 + 1 1693995 L4965 20211 2622 · 111621920 − 1 1689060 L2054 15212 2676404262144 + 1 1684945 L4591 17 Generalized Fermat

    5

  • rank description digits who year comment

    213 301562 · 52408646 − 1 1683577 L4675 17214 2611294262144 + 1 1682141 L4250 17 Generalized Fermat

    215 171362 · 52400996 − 1 1678230 L4669 17216 2514168262144 + 1 1677825 L4564 17 Generalized Fermat

    217 31 · 25560820 + 1 1673976 L1204 20 Divides GF (5560819, 6)218 13 · 25523860 + 1 1662849 L1204 20 Divides Fermat F (5523858)219 252191 · 25497878 − 1 1655032 L3183 12220 2042774262144 + 1 1654187 L4499 16 Generalized Fermat

    221 1828858262144 + 1 1641593 L4200 16 Generalized Fermat

    222 258317 · 25450519 + 1 1640776 g414 08223 7 · 62104746 + 1 1637812 L4965 19224 5 · 25429494 − 1 1634442 L3345 17225 43 · 25408183 − 1 1628027 L1884 18226 1615588262144 + 1 1627477 L4200 16 Generalized Fermat

    227 1349 · 25385004 − 1 1621051 L1828 17228 1488256262144 + 1 1618131 L4249 16 Generalized Fermat

    229 1415198262144 + 1 1612400 L4308 16 Generalized Fermat

    230 45 · 25308037 + 1 1597881 L4761 19231 Phi(3,−1082083131072) 1581846 L4506 17 Generalized unique232 180062 · 52249192 − 1 1572123 L4435 16233 124125 · 62018254 + 1 1570512 L4001 19234 27 · 25213635 + 1 1569462 L3760 15235 9992 · 101567410 − 1 1567414 L4879 20 Near-repdigit236 Phi(3,−843575131072) 1553498 L4506 17 Generalized unique237 25 · 25152151 − 1 1550954 L1884 20238 53546 · 52216664 − 1 1549387 L4398 16239 773620262144 + 1 1543643 L3118 12 Generalized Fermat

    240 39 · 25119458 + 1 1541113 L1204 19241 607 · 261089034 + 1 1540957 L4944 21242 223 · 25105835 − 1 1537012 L2484 19243 99 · 101536527 − 1 1536529 L4879 19 Near-repdigit244 992 · 101533933 − 1 1533936 L4879 19 Near-repdigit245 51 · 25085142 − 1 1530782 L760 14246 3 · 25082306 + 1 1529928 L780 09 Divides GF (5082303, 3),

    GF (5082305, 5)

    247 676754262144 + 1 1528413 L2975 12 Generalized Fermat

    248 296024 · 52185270 − 1 1527444 L671 16249 5359 · 25054502 + 1 1521561 SB6 03250 13 · 24998362 + 1 1504659 L3917 14251 525094262144 + 1 1499526 p338 12 Generalized Fermat

    252 92158 · 52145024 + 1 1499313 L4348 16253 499238 · 101497714 − 1 1497720 L4976 19 Generalized Woodall254 77072 · 52139921 + 1 1495746 L4340 16255 2 · 33123036 + 1 1490068 L5043 20256 306398 · 52112410 − 1 1476517 L4274 16257 265711 · 24858008 + 1 1462412 g414 08258 154222 · 52091432 + 1 1461854 L3523 15259 1271 · 24850526 − 1 1460157 L1828 12

    6

  • rank description digits who year comment

    260 Phi(3,−362978131072) 1457490 p379 15 Generalized unique261 361658262144 + 1 1457075 p332 11 Generalized Fermat

    262 100186 · 52079747 − 1 1453686 L4197 15263 15 · 24800315 + 1 1445040 L1754 19 Divides GF (4800313, 3),

    GF (4800310, 5)

    264 24792057 − 22396029 + 1 1442553 L3839 14 Gaussian Mersenne norm 40?,generalized unique

    265 92 · 101439761 − 1 1439763 L4789 20 Near-repdigit266 653 · 101435026 − 1 1435029 p355 14267 197 · 24765318 − 1 1434506 L5175 21268 188 · 468535963 + 1 1431156 L4832 19269 100 · 406543228 + 1 1417027 L4944 20 Generalized Fermat270 1229 · 24703492 − 1 1415896 L1828 18271 144052 · 52018290 + 1 1410730 L4146 15272 195 · 24685711 − 1 1410542 L5175 21273 9 · 24683555 − 1 1409892 L1828 12274 31 · 24673544 + 1 1406879 L4990 19275 34 · 993469245 + 1 1406305 L4806 18276 79 · 24658115 − 1 1402235 L1884 18277 39 · 24657951 + 1 1402185 L1823 19278 4 · 650498101 − 1 1401116 L4294 21279 11 · 24643238 − 1 1397755 L2484 14280 68 · 995465908 − 1 1396712 L4001 17281 7 · 61793775 + 1 1395830 L4965 19282 Phi(3,−192098131072) 1385044 p379 15 Generalized unique283 27 · 24583717 − 1 1379838 L2992 14284 121 · 24553899 − 1 1370863 L3023 12285 27 · 24542344 − 1 1367384 L1204 14286 29 · 24532463 + 1 1364409 L4988 19287 4 · 797468702 + 1 1359920 L4548 17 Generalized Fermat288 145310262144 + 1 1353265 p314 11 Generalized Fermat

    289 25 · 24481024 + 1 1348925 L4364 19 Generalized Fermat290 2 · 1283432757 + 1 1345108 L4879 19 Divides Phi(1283432757, 2)291 36772 · 61723287 − 1 1340983 L1301 14292 583854 · 141167708 − 1 1338349 L4976 19 Generalized Woodall293 151 · 24424321 − 1 1331856 L1884 16294 195 · 24373994 − 1 1316706 L5175 20295 49 · 24365175 − 1 1314051 L1959 17296 49 · 24360869 − 1 1312755 L1959 17297 13 · 24333087 − 1 1304391 L1862 18298 353159 · 24331116 − 1 1303802 L2408 11299 23 · 24300741 + 1 1294654 L4147 19300 682156 · 79682156 + 1 1294484 L4472 16 Generalized Cullen301 141941 · 24299438 − 1 1294265 L689 11302 2 · 1151417747 + 1 1278756 L4879 19 Divides Phi(1151417747, 2)303 15 · 24246384 + 1 1278291 L3432 13 Divides GF (4246381, 6)304 3 · 24235414 − 1 1274988 L606 08305 2 · 1259411259 + 1 1274914 L4879 20 Divides Phi(1259411259, 2)

    7

  • rank description digits who year comment

    306 45 · 436481613 + 1 1271213 L4944 20307 109208 · 51816285 + 1 1269534 L3523 14308 1091 · 24215518 − 1 1269001 L1828 18309 191 · 24203426 − 1 1265360 L2484 12310 1259 · 24196028 − 1 1263134 L1828 16311 325918 · 51803339 − 1 1260486 L3567 14312 133778 · 51785689 + 1 1248149 L3903 14313 17 · 24107544 − 1 1236496 L4113 15314 24032 · 51768249 + 1 1235958 L3925 14315 172 · 159561319 − 1 1235689 L4001 17316 97 · 24066717 − 1 1224206 L2484 19317 1031 · 24054974 − 1 1220672 L1828 17318 37 · 24046360 + 1 1218078 L2086 19319 39653 · 430460397 − 1 1212446 L4187 16320 40734262144 + 1 1208473 p309 11 Generalized Fermat

    321 9 · 24005979 − 1 1205921 L1828 12322 12 · 68656921 + 1 1203815 L4001 16323 67 · 688423893 + 1 1202836 L4001 17324 1993191 · 23986382 − 1 1200027 L3532 15 Generalized Woodall325 138172 · 51714207 − 1 1198185 L3904 14326 Phi(3,−120211398304) 1195366 L4506 16 Generalized unique327 29 · 23964697 + 1 1193495 L1204 19328 39 · 23961129 + 1 1192421 L1486 19329 Phi(3,−111081598304) 1188622 L4506 16 Generalized unique330 22478 · 51675150 − 1 1170884 L3903 14331 1199 · 23889576 − 1 1170883 L1828 18332 298989 · 23886857 + 1 1170067 L2777 14 Generalized Cullen333 94 · 872397354 + 1 1168428 L4944 19334 27 · 23855094 − 1 1160501 L3033 12335 164 · 978387920 − 1 1160015 L4700 18336 49 · 23837090 + 1 1155081 L4979 19 Generalized Fermat337 2 · 839394257 + 1 1152714 L4879 19 Divides Phi(839394257, 2)338 30 · 514424652 − 1 1151218 L4001 17339 24518262144 + 1 1150678 g413 08 Generalized Fermat

    340 Phi(3,−70021998304) 1149220 L4506 16 Generalized unique341 241 · 23815727 − 1 1148651 L2484 19342 109 · 980383669 − 1 1147643 L4001 18343 123547 · 23804809 − 1 1145367 L2371 11344 2564 · 75610753 + 1 1145203 L3610 14345 Phi(3,−66095598304) 1144293 L4506 16 Generalized unique346 166 · 443432000 + 1 1143249 L4944 20347 326834 · 51634978 − 1 1142807 L3523 14348 43 · 182502611 − 1 1135939 L4064 20349 415267 · 23771929 − 1 1135470 L2373 11350 11 · 23771821 + 1 1135433 p286 13351 265 · 23765189 − 1 1133438 L2484 18352 938237 · 23752950 − 1 1129757 L521 07 Woodall353 399866798131072 + 1 1127471 L4964 19 Generalized Fermat

    8

  • rank description digits who year comment

    354 207394 · 51612573 − 1 1127146 L3869 14355 684 · 101127118 + 1 1127121 L4036 17356 Phi(3,−53538698304) 1126302 L4506 16 Generalized unique357 104944 · 51610735 − 1 1125861 L3849 14358 23451 · 23739388 + 1 1125673 L591 15359 25 · 23733144 + 1 1123790 L2125 19 Generalized Fermat360 2 · 1103368361 + 1 1120767 L4879 19 Divides Phi(1103368361, 2)361 2 · 131528469 + 1 1118913 L4879 19 Divides Phi(131528469, 2)362 23704053 + 21852027 + 1 1115032 L3839 14 Gaussian Mersenne norm 39?,

    generalized unique

    363 314187728131072 + 1 1113744 L4704 19 Generalized Fermat

    364 119 · 23698412 − 1 1113336 L2484 18365 330286 · 51584399 − 1 1107453 L3523 14366 34 · 951371834 − 1 1107391 L4944 19367 45 · 23677787 + 1 1107126 L1204 19368 13 · 23675223 − 1 1106354 L1862 16369 271643232131072 + 1 1105462 L4704 19 Generalized Fermat

    370 15 · 23668194 − 1 1104238 L3665 13371 13 · 23664703 − 1 1103187 L1862 16372 Phi(3,−40651598304) 1102790 L4506 16 Generalized unique373 118 · 892373012 + 1 1100524 L5071 20374 33300 · 430417849 − 1 1100397 L4393 16375 33 · 23649810 + 1 1098704 L4958 19376 989 · 23640585 + 1 1095929 L5115 20377 567 · 23639287 + 1 1095538 L4959 19378 639 · 23635707 + 1 1094460 L1823 19379 753 · 23631472 + 1 1093185 L1823 19380 65531 · 23629342 − 1 1092546 L2269 11381 1121 · 23629201 + 1 1092502 L4761 19382 215 · 23628962 − 1 1092429 L2484 18383 113 · 23628034 − 1 1092150 L2484 14384 1175 · 23627541 + 1 1092002 L4840 19385 2 · 431414457 + 1 1091878 L4879 19 Divides Phi(431414457, 2)386 951 · 23623185 + 1 1090691 L1823 19387 29 · 920367810 − 1 1090113 L4064 15388 14641 · 23618876 + 1 1089395 L181 18 Generalized Fermat389 485 · 23618563 + 1 1089299 L3924 19390 95 · 23614033 + 1 1087935 L1474 19391 1005 · 23612300 + 1 1087414 L1823 19392 861 · 23611815 + 1 1087268 L1745 19393 1087 · 23611476 + 1 1087166 L4834 19394 485767 · 23609357 − 1 1086531 L622 08395 675 · 23606447 + 1 1085652 L3278 19396 669 · 23606266 + 1 1085598 L1675 19397 65077 · 23605944 + 1 1085503 L4685 20398 851 · 23604395 + 1 1085034 L2125 19399 1143 · 23602429 + 1 1084443 L4754 19400 1183 · 23601898 + 1 1084283 L1823 19

    9

  • rank description digits who year comment

    401 189 · 23596375 + 1 1082620 L3760 16402 1089 · 23593267 + 1 1081685 L3035 19403 1101 · 23589103 + 1 1080431 L1823 19404 35 · 23587843 + 1 1080050 L1979 14 Divides GF (3587841, 5)405 275 · 23585539 + 1 1079358 L3803 16406 2 · 59608685 + 1 1077892 g427 14 Divides Phi(59608685, 2)407 651 · 23579843 + 1 1077643 L3035 18408 583 · 23578402 + 1 1077210 L3035 18409 309 · 23577339 + 1 1076889 L4406 16410 1185 · 23574583 + 1 1076060 L4851 18411 251 · 23574535 + 1 1076045 L3035 16412 1019 · 23571635 + 1 1075173 L1823 18413 119 · 23571416 − 1 1075106 L2484 18414 35 · 23570777 + 1 1074913 L2891 14415 33 · 23570132 + 1 1074719 L2552 14416 5 · 23569154 − 1 1074424 L503 09417 81 · 492399095 − 1 1074352 L4001 15418 22934 · 51536762 − 1 1074155 L3789 14419 265 · 23564373 − 1 1072986 L2484 18420 771 · 23564109 + 1 1072907 L2125 18421 381 · 23563676 + 1 1072776 L4190 16422 555 · 23563328 + 1 1072672 L4850 18423 1183 · 23560584 + 1 1071846 L1823 18424 415 · 23559614 + 1 1071554 L3035 16425 1103 · 23558176 − 1 1071121 L1828 18426 1379 · 23557072 − 1 1070789 L1828 18427 681 · 23553141 + 1 1069605 L3035 18428 599 · 23551793 + 1 1069200 L3824 18429 621 · 23551472 + 1 1069103 L4687 18430 773 · 23550373 + 1 1068772 L1808 18431 1199 · 23548380 − 1 1068172 L1828 18432 191 · 23548117 + 1 1068092 L4203 15433 867 · 23547711 + 1 1067971 L4155 18434 Phi(3, 31118781 + 1)/3 1067588 L3839 14 Generalized unique

    435 351 · 23545752 + 1 1067381 L4082 16436 93 · 23544744 + 1 1067077 L1728 14437 1159 · 23543702 + 1 1066764 L1823 18438 178658 · 51525224 − 1 1066092 L3789 14439 1085 · 23539671 + 1 1065551 L3035 18440 465 · 23536871 + 1 1064707 L4459 16441 1019 · 23536312 − 1 1064539 L1828 12442 1179 · 23534450 + 1 1063979 L3035 18443 447 · 23533656 + 1 1063740 L4457 16444 1059 · 23533550 + 1 1063708 L1823 18445 345 · 23532957 + 1 1063529 L4314 16446 553 · 23532758 + 1 1063469 L1823 18447 141 · 23529287 + 1 1062424 L4185 15448 13 · 23527315 − 1 1061829 L1862 16

    10

  • rank description digits who year comment

    449 1393 · 23525571 − 1 1061306 L1828 17450 1071 · 23523944 + 1 1060816 L1675 18451 329 · 23518451 + 1 1059162 L1823 16452 135 · 23518338 + 1 1059128 L4045 15453 2 · 101059002 − 1 1059003 L3432 13 Near-repdigit454 64 · 101058794 + 1 1058796 L4036 17 Generalized Fermat455 599 · 23515959 + 1 1058412 L1823 18456 7 · 23511774 + 1 1057151 p236 08 Divides GF (3511773, 6)457 1135 · 23510890 + 1 1056887 L1823 18458 428639 · 23506452 − 1 1055553 L2046 11459 104 · 383408249 + 1 1054591 L2012 21460 555 · 23502765 + 1 1054441 L1823 18461 643 · 23501974 + 1 1054203 L1823 18462 2 · 23774109 + 1 1054127 g427 14 Divides Phi(23774109, 2)463 1159 · 23501490 + 1 1054057 L2125 18464 1189 · 23499042 + 1 1053320 L4724 18465 609 · 23497474 + 1 1052848 L1823 18466 9 · 23497442 + 1 1052836 L1780 12 Generalized Fermat, divides

    GF (3497441, 10)

    467 87 · 23496188 + 1 1052460 L1576 14468 783 · 23494129 + 1 1051841 L3824 18469 51 · 23490971 + 1 1050889 L1823 14470 753 · 23488818 + 1 1050242 L1823 18471 699 · 23487253 + 1 1049771 L1204 18472 249 · 23486411 + 1 1049517 L4045 15473 195 · 23486379 + 1 1049507 L4108 15474 59912 · 51500861 + 1 1049062 L3772 14475 495 · 23484656 + 1 1048989 L3035 16476 323 · 23482789 + 1 1048427 L1204 16477 1149 · 23481694 + 1 1048098 L1823 18478 701 · 23479779 + 1 1047521 L2125 18479 813 · 23479728 + 1 1047506 L4724 18480 197 · 23477399 + 1 1046804 L2125 15481 491 · 23473837 + 1 1045732 L4343 16482 1061 · 23471354 − 1 1044985 L1828 17483 90382348131072 + 1 1042820 L4267 21 Generalized Fermat

    484 641 · 23464061 + 1 1042790 L1444 18485 90006846131072 + 1 1042583 L4773 21 Generalized Fermat

    486 89977312131072 + 1 1042565 L5070 21 Generalized Fermat

    487 89790434131072 + 1 1042446 L5007 21 Generalized Fermat

    488 89285798131072 + 1 1042125 L5157 21 Generalized Fermat

    489 453 · 23461688 + 1 1042075 L3035 16490 89113896131072 + 1 1042016 L5338 21 Generalized Fermat

    491 88760062131072 + 1 1041789 L4903 21 Generalized Fermat

    492 571 · 23460216 + 1 1041632 L3035 18493 88243020131072 + 1 1041457 L4774 21 Generalized Fermat

    494 88166868131072 + 1 1041408 L5277 21 Generalized Fermat

    495 88068088131072 + 1 1041344 L4933 21 Generalized Fermat

    11

  • rank description digits who year comment

    496 87920992131072 + 1 1041249 L4249 21 Generalized Fermat

    497 87547832131072 + 1 1041006 L4591 21 Generalized Fermat

    498 87454694131072 + 1 1040946 L4672 21 Generalized Fermat

    499 87370574131072 + 1 1040891 L5297 21 Generalized Fermat

    500 87352356131072 + 1 1040879 L4387 21 Generalized Fermat

    501 87268788131072 + 1 1040825 L4917 21 Generalized Fermat

    502 87192538131072 + 1 1040775 L4861 21 Generalized Fermat

    503 87116452131072 + 1 1040725 L5297 21 Generalized Fermat

    504 87039658131072 + 1 1040675 L5297 21 Generalized Fermat

    505 86829162131072 + 1 1040537 L5265 21 Generalized Fermat

    506 86413544131072 + 1 1040264 L4914 21 Generalized Fermat

    507 86347638131072 + 1 1040221 L4848 21 Generalized Fermat

    508 86295564131072 + 1 1040186 L5030 21 Generalized Fermat

    509 1155 · 23455254 + 1 1040139 L4711 17510 37292 · 51487989 + 1 1040065 L3553 13511 86060696131072 + 1 1040031 L5057 21 Generalized Fermat

    512 85115888131072 + 1 1039403 L4909 21 Generalized Fermat

    513 84924212131072 + 1 1039275 L4309 21 Generalized Fermat

    514 84817722131072 + 1 1039203 L4726 21 Generalized Fermat

    515 84765338131072 + 1 1039168 L4245 21 Generalized Fermat

    516 84757790131072 + 1 1039163 L5051 21 Generalized Fermat

    517 84723284131072 + 1 1039140 L5051 21 Generalized Fermat

    518 84715930131072 + 1 1039135 L4963 21 Generalized Fermat

    519 84679936131072 + 1 1039111 L4864 21 Generalized Fermat

    520 84445014131072 + 1 1038952 L4909 21 Generalized Fermat

    521 84384358131072 + 1 1038912 L4622 21 Generalized Fermat

    522 84149050131072 + 1 1038753 L5033 21 Generalized Fermat

    523 83364886131072 + 1 1038220 L4591 21 Generalized Fermat

    524 83328182131072 + 1 1038195 L5051 21 Generalized Fermat

    525 1273 · 23448551 − 1 1038121 L1828 12526 83003850131072 + 1 1037973 L4963 21 Generalized Fermat

    527 1065 · 23447906 + 1 1037927 L4664 17528 1155 · 23446253 + 1 1037429 L3035 17529 82008736131072 + 1 1037286 L4963 21 Generalized Fermat

    530 82003030131072 + 1 1037282 L4410 21 Generalized Fermat

    531 81976506131072 + 1 1037264 L4249 21 Generalized Fermat

    532 81477176131072 + 1 1036916 L4245 20 Generalized Fermat

    533 81444036131072 + 1 1036893 L4245 20 Generalized Fermat

    534 81096098131072 + 1 1036649 L4249 20 Generalized Fermat

    535 [ Long prime 535 ] 1036620 p384 15

    536 943 · 23442990 + 1 1036447 L4687 17537 80284312131072 + 1 1036076 L5051 20 Generalized Fermat

    538 80146408131072 + 1 1035978 L5051 20 Generalized Fermat

    539 79912550131072 + 1 1035812 L5186 20 Generalized Fermat

    540 79801426131072 + 1 1035733 L4245 20 Generalized Fermat

    541 79789806131072 + 1 1035725 L4658 20 Generalized Fermat

    542 943 · 23440196 + 1 1035606 L1448 17543 79485098131072 + 1 1035507 L5130 20 Generalized Fermat

    12

  • rank description digits who year comment

    544 79428414131072 + 1 1035466 L4793 20 Generalized Fermat

    545 79383608131072 + 1 1035434 L4387 20 Generalized Fermat

    546 79201682131072 + 1 1035303 L5051 20 Generalized Fermat

    547 543 · 23438810 + 1 1035188 L3035 17548 625 · 23438572 + 1 1035117 L1355 17 Generalized Fermat549 78910032131072 + 1 1035093 L5051 20 Generalized Fermat

    550 78880690131072 + 1 1035072 L5159 20 Generalized Fermat

    551 78851276131072 + 1 1035051 L4928 20 Generalized Fermat

    552 78714954131072 + 1 1034953 L5130 20 Generalized Fermat

    553 74 · 941348034 − 1 1034913 L4944 20554 78439440131072 + 1 1034753 L5051 20 Generalized Fermat

    555 113 · 23437145 + 1 1034686 L4045 15556 78240016131072 + 1 1034608 L4245 20 Generalized Fermat

    557 78089172131072 + 1 1034498 L4245 20 Generalized Fermat

    558 77924964131072 + 1 1034378 L5051 20 Generalized Fermat

    559 77918854131072 + 1 1034374 L4760 20 Generalized Fermat

    560 1147 · 23435970 + 1 1034334 L3035 17561 77469882131072 + 1 1034045 L4591 20 Generalized Fermat

    562 77281404131072 + 1 1033906 L4963 20 Generalized Fermat

    563 911 · 23432643 + 1 1033332 L1355 17564 76416048131072 + 1 1033265 L4672 20 Generalized Fermat

    565 76026988131072 + 1 1032975 L5094 20 Generalized Fermat

    566 76018874131072 + 1 1032969 L4774 20 Generalized Fermat

    567 75861530131072 + 1 1032851 L5053 20 Generalized Fermat

    568 75647276131072 + 1 1032690 L4677 20 Generalized Fermat

    569 75521414131072 + 1 1032595 L4584 20 Generalized Fermat

    570 74833516131072 + 1 1032074 L5102 20 Generalized Fermat

    571 74817490131072 + 1 1032062 L4591 20 Generalized Fermat

    572 74396818131072 + 1 1031741 L4791 20 Generalized Fermat

    573 74381296131072 + 1 1031729 L4550 20 Generalized Fermat

    574 74363146131072 + 1 1031715 L4898 20 Generalized Fermat

    575 1127 · 23427219 + 1 1031699 L3035 17576 74325990131072 + 1 1031687 L5024 20 Generalized Fermat

    577 73839292131072 + 1 1031313 L4550 20 Generalized Fermat

    578 159 · 23425766 + 1 1031261 L4045 15579 73690464131072 + 1 1031198 L4884 20 Generalized Fermat

    580 73404316131072 + 1 1030976 L5011 20 Generalized Fermat

    581 73160610131072 + 1 1030787 L4550 20 Generalized Fermat

    582 73132228131072 + 1 1030765 L4905 20 Generalized Fermat

    583 73099962131072 + 1 1030740 L5068 20 Generalized Fermat

    584 72602370131072 + 1 1030351 L4201 20 Generalized Fermat

    585 1119 · 23422189 + 1 1030185 L1355 17586 72070092131072 + 1 1029932 L4201 20 Generalized Fermat

    587 1005 · 23420846 + 1 1029781 L2714 17 Divides GF (3420844, 10)588 71732900131072 + 1 1029665 L5053 20 Generalized Fermat

    589 71679108131072 + 1 1029623 L5072 20 Generalized Fermat

    590 93 · 101029523 − 1 1029525 L4789 19 Near-repdigit591 71450224131072 + 1 1029440 L5029 20 Generalized Fermat

    13

  • rank description digits who year comment

    592 975 · 23419230 + 1 1029294 L3545 17593 999 · 23418885 + 1 1029190 L3035 17594 70960658131072 + 1 1029049 L5039 20 Generalized Fermat

    595 70948704131072 + 1 1029039 L4660 20 Generalized Fermat

    596 70934282131072 + 1 1029028 L5067 20 Generalized Fermat

    597 70893680131072 + 1 1028995 L5063 20 Generalized Fermat

    598 907 · 23417890 + 1 1028891 L3035 17599 191249 · 23417696 − 1 1028835 L1949 10600 70658696131072 + 1 1028806 L5051 20 Generalized Fermat

    601 70421038131072 + 1 1028615 L4984 20 Generalized Fermat

    602 70050828131072 + 1 1028315 L5021 20 Generalized Fermat

    603 70022042131072 + 1 1028291 L4201 20 Generalized Fermat

    604 69915032131072 + 1 1028204 L4591 20 Generalized Fermat

    605 69742382131072 + 1 1028063 L5053 20 Generalized Fermat

    606 69689592131072 + 1 1028020 L4387 20 Generalized Fermat

    607 69622572131072 + 1 1027965 L4909 20 Generalized Fermat

    608 69565722131072 + 1 1027919 L4387 20 Generalized Fermat

    609 69534788131072 + 1 1027894 L5029 20 Generalized Fermat

    610 68999820131072 + 1 1027454 L5044 20 Generalized Fermat

    611 68924112131072 + 1 1027391 L4745 20 Generalized Fermat

    612 68918852131072 + 1 1027387 L5021 20 Generalized Fermat

    613 68811158131072 + 1 1027298 L4245 20 Generalized Fermat

    614 479 · 23411975 + 1 1027110 L2873 16615 245 · 23411973 + 1 1027109 L1935 15616 177 · 23411847 + 1 1027071 L4031 15617 68536972131072 + 1 1027071 L5027 20 Generalized Fermat

    618 68372810131072 + 1 1026934 L4956 20 Generalized Fermat

    619 68275006131072 + 1 1026853 L4963 20 Generalized Fermat

    620 67894288131072 + 1 1026535 L5025 20 Generalized Fermat

    621 113 · 23409934 − 1 1026495 L2484 14622 67725850131072 + 1 1026393 L5029 20 Generalized Fermat

    623 1981 · 910346850 + 1 1026347 L1141 21624 67371416131072 + 1 1026094 L4550 20 Generalized Fermat

    625 59 · 23408416 − 1 1026038 L426 10626 66982940131072 + 1 1025765 L4249 20 Generalized Fermat

    627 66901180131072 + 1 1025696 L5018 20 Generalized Fermat

    628 953 · 23405729 + 1 1025230 L3035 17629 66272848131072 + 1 1025159 L5013 20 Generalized Fermat

    630 66131722131072 + 1 1025037 L4530 20 Generalized Fermat

    631 373 · 23404702 + 1 1024921 L3924 16632 65791182131072 + 1 1024743 L4623 19 Generalized Fermat

    633 833 · 23403765 + 1 1024639 L3035 17634 65569854131072 + 1 1024552 L4210 19 Generalized Fermat

    635 65305572131072 + 1 1024322 L5001 19 Generalized Fermat

    636 65200798131072 + 1 1024230 L4999 19 Generalized Fermat

    637 64911056131072 + 1 1023977 L4870 19 Generalized Fermat

    638 64791668131072 + 1 1023872 L4905 19 Generalized Fermat

    639 24 · 414391179 + 1 1023717 L4273 16

    14

  • rank description digits who year comment

    640 64568930131072 + 1 1023676 L4977 19 Generalized Fermat

    641 64506894131072 + 1 1023621 L4977 19 Generalized Fermat

    642 64476916131072 + 1 1023595 L4997 19 Generalized Fermat

    643 1167 · 23399748 + 1 1023430 L3545 17644 64024604131072 + 1 1023194 L4591 19 Generalized Fermat

    645 63823568131072 + 1 1023015 L4585 19 Generalized Fermat

    646 611 · 23398273 + 1 1022985 L3035 17647 4 · 32143374 + 1 1022650 L4965 20 Generalized Fermat648 63168480131072 + 1 1022428 L4861 19 Generalized Fermat

    649 63165756131072 + 1 1022425 L4987 19 Generalized Fermat

    650 63112418131072 + 1 1022377 L4201 19 Generalized Fermat

    651 255 · 23395661 + 1 1022199 L3898 14652 1049 · 23395647 + 1 1022195 L3035 17653 342924651 · 23394939 − 1 1021988 L4166 17654 62276102131072 + 1 1021618 L4715 19 Generalized Fermat

    655 555 · 23393389 + 1 1021515 L2549 17656 62146946131072 + 1 1021500 L4720 19 Generalized Fermat

    657 61837354131072 + 1 1021215 L4656 19 Generalized Fermat

    658 609 · 23392301 + 1 1021188 L3035 17659 303 · 23391977 + 1 1021090 L2602 16660 805 · 23391818 + 1 1021042 L4609 17661 67 · 23391385 − 1 1020911 L1959 14662 61267078131072 + 1 1020688 L4923 19 Generalized Fermat

    663 663 · 23390469 + 1 1020636 L4316 17664 61030988131072 + 1 1020468 L4898 19 Generalized Fermat

    665 60642326131072 + 1 1020104 L4591 19 Generalized Fermat

    666 3329 · 23388472 − 1 1020036 L4841 20667 60540024131072 + 1 1020008 L4591 19 Generalized Fermat

    668 60455792131072 + 1 1019929 L4760 19 Generalized Fermat

    669 60133106131072 + 1 1019624 L4942 19 Generalized Fermat

    670 453 · 23387048 + 1 1019606 L2602 16671 59720358131072 + 1 1019232 L4656 19 Generalized Fermat

    672 59692546131072 + 1 1019206 L4747 19 Generalized Fermat

    673 59515830131072 + 1 1019037 L4737 19 Generalized Fermat

    674 173198 · 51457792 − 1 1018959 L3720 13675 59405420131072 + 1 1018931 L4645 19 Generalized Fermat

    676 59362002131072 + 1 1018890 L4249 19 Generalized Fermat

    677 59305348131072 + 1 1018835 L4932 19 Generalized Fermat

    678 59210784131072 + 1 1018745 L4926 19 Generalized Fermat

    679 59161754131072 + 1 1018697 L4928 19 Generalized Fermat

    680 58589880131072 + 1 1018145 L4923 19 Generalized Fermat

    681 58523466131072 + 1 1018080 L4802 19 Generalized Fermat

    682 58447816131072 + 1 1018006 L4591 19 Generalized Fermat

    683 58447642131072 + 1 1018006 L4591 19 Generalized Fermat

    684 58247118131072 + 1 1017811 L4309 19 Generalized Fermat

    685 1425 · 23379921 + 1 1017461 L1134 20686 57704312131072 + 1 1017278 L4591 19 Generalized Fermat

    687 57694224131072 + 1 1017268 L4656 19 Generalized Fermat

    15

  • rank description digits who year comment

    688 57594734131072 + 1 1017169 L4656 19 Generalized Fermat

    689 57438404131072 + 1 1017015 L4745 19 Generalized Fermat

    690 621 · 23378148 + 1 1016927 L3035 17691 1093 · 23378000 + 1 1016883 L4583 17692 861 · 23377601 + 1 1016763 L4582 17693 56917336131072 + 1 1016496 L4729 19 Generalized Fermat

    694 56735576131072 + 1 1016314 L4760 19 Generalized Fermat

    695 56584816131072 + 1 1016162 L4289 19 Generalized Fermat

    696 56459558131072 + 1 1016036 L4892 19 Generalized Fermat

    697 56383242131072 + 1 1015959 L4889 19 Generalized Fermat

    698 56307420131072 + 1 1015883 L4843 19 Generalized Fermat

    699 208003!− 1 1015843 p394 16 Factorial700 55645700131072 + 1 1015210 L4745 19 Generalized Fermat

    701 55579418131072 + 1 1015142 L4745 19 Generalized Fermat

    702 55268442131072 + 1 1014822 L4525 19 Generalized Fermat

    703 179 · 23371145 + 1 1014819 L3763 14704 55184170131072 + 1 1014736 L4871 18 Generalized Fermat

    705 55015050131072 + 1 1014561 L4205 18 Generalized Fermat

    706 4357 · 23369572 + 1 1014346 L5231 21707 6073 · 23369544 + 1 1014338 L5358 21708 839 · 23369383 + 1 1014289 L2891 17709 65 · 23369359 + 1 1014280 L5236 21710 8023 · 23369228 + 1 1014243 L5356 21711 677 · 23369115 + 1 1014208 L2103 17712 1437 · 23369083 + 1 1014199 L5282 21713 9509 · 23368705 + 1 1014086 L5237 21714 54548788131072 + 1 1014076 L4726 18 Generalized Fermat

    715 4851 · 23368668 + 1 1014074 L5307 21716 7221 · 23368448 + 1 1014008 L5353 21717 5549 · 23368437 + 1 1014005 L5217 21718 715 · 23368210 + 1 1013936 L4527 17719 617 · 23368119 + 1 1013908 L4552 17720 54361742131072 + 1 1013881 L4210 18 Generalized Fermat

    721 1847 · 23367999 + 1 1013872 L5352 21722 54334044131072 + 1 1013852 L4745 18 Generalized Fermat

    723 6497 · 23367743 + 1 1013796 L5285 21724 2533 · 23367666 + 1 1013772 L5326 21725 6001 · 23367552 + 1 1013738 L5350 21726 54212352131072 + 1 1013724 L4307 18 Generalized Fermat

    727 54206254131072 + 1 1013718 L4249 18 Generalized Fermat

    728 777 · 23367372 + 1 1013683 L4408 17729 9609 · 23367351 + 1 1013678 L5285 21730 54161106131072 + 1 1013670 L4307 18 Generalized Fermat

    731 2529 · 23367317 + 1 1013667 L5237 21732 5941 · 23366960 + 1 1013560 L5189 21733 5845 · 23366956 + 1 1013559 L5197 21734 54032538131072 + 1 1013535 L4591 18 Generalized Fermat

    735 9853 · 23366608 + 1 1013454 L5178 21

    16

  • rank description digits who year comment

    736 61 · 23366033 − 1 1013279 L4405 17737 7665 · 23365896 + 1 1013240 L5345 21738 8557 · 23365648 + 1 1013165 L5346 21739 369 · 23365614 + 1 1013154 L4364 16740 53659976131072 + 1 1013141 L4823 18 Generalized Fermat

    741 8201 · 23365283 + 1 1013056 L5345 21742 9885 · 23365151 + 1 1013016 L5344 21743 5173 · 23365096 + 1 1012999 L5285 21744 8523 · 23364918 + 1 1012946 L5237 21745 3985 · 23364776 + 1 1012903 L5178 21746 9711 · 23364452 + 1 1012805 L5192 21747 7003 · 23364172 + 1 1012721 L5217 21748 6703 · 23364088 + 1 1012696 L5337 21749 7187 · 23364011 + 1 1012673 L5217 21750 53161266131072 + 1 1012610 L4307 18 Generalized Fermat

    751 53078434131072 + 1 1012521 L4835 18 Generalized Fermat

    752 2345 · 23363157 + 1 1012415 L5336 21753 6527 · 23363135 + 1 1012409 L5167 21754 9387 · 23363088 + 1 1012395 L5161 21755 8989 · 23362986 + 1 1012364 L5161 21756 533 · 23362857 + 1 1012324 L3171 17757 619 · 23362814 + 1 1012311 L4527 17758 2289 · 23362723 + 1 1012284 L5161 21759 7529 · 23362565 + 1 1012237 L5161 21760 7377 · 23362366 + 1 1012177 L5161 21761 4509 · 23362311 + 1 1012161 L5324 21762 7021 · 23362208 + 1 1012130 L5178 21763 52712138131072 + 1 1012127 L4819 18 Generalized Fermat

    764 104 · 873344135 − 1 1012108 L4700 18765 4953 · 23362054 + 1 1012083 L5323 21766 8575 · 23361798 + 1 1012006 L5237 21767 2139 · 23361706 + 1 1011978 L5174 21768 6939 · 23361203 + 1 1011827 L5217 21769 52412612131072 + 1 1011802 L4289 18 Generalized Fermat

    770 32120580 − 3623816 − 1 1011774 CH9 19771 8185 · 23360896 + 1 1011735 L5189 21772 2389 · 23360882 + 1 1011730 L5317 21773 2787 · 23360631 + 1 1011655 L5197 21774 6619 · 23360606 + 1 1011648 L5316 21775 2755 · 23360526 + 1 1011623 L5174 21776 1445 · 23360099 + 1 1011494 L5261 21777 8757 · 23359788 + 1 1011401 L5197 21778 52043532131072 + 1 1011400 L4810 18 Generalized Fermat

    779 5085 · 23359696 + 1 1011373 L5261 21780 51954384131072 + 1 1011303 L4720 18 Generalized Fermat

    781 6459 · 23359457 + 1 1011302 L5310 21782 51872628131072 + 1 1011213 L4591 18 Generalized Fermat

    783 6115 · 23358998 + 1 1011163 L5309 21

    17

  • rank description digits who year comment

    784 7605 · 23358929 + 1 1011143 L5308 21785 2315 · 23358899 + 1 1011133 L5197 21786 6603 · 23358525 + 1 1011021 L5307 21787 51580416131072 + 1 1010891 L4765 18 Generalized Fermat

    788 51570250131072 + 1 1010880 L4591 18 Generalized Fermat

    789 51567684131072 + 1 1010877 L4800 18 Generalized Fermat

    790 5893 · 23357490 + 1 1010709 L5285 21791 6947 · 23357075 + 1 1010585 L5302 21792 4621 · 23357068 + 1 1010582 L5301 21793 51269192131072 + 1 1010547 L4795 18 Generalized Fermat

    794 1479 · 23356275 + 1 1010343 L5178 21795 3645 · 23356232 + 1 1010331 L5296 21796 1259 · 23356215 + 1 1010325 L5298 21797 2075 · 23356057 + 1 1010278 L5174 21798 4281 · 23356051 + 1 1010276 L5295 21799 1275 · 23356045 + 1 1010274 L5294 21800 50963598131072 + 1 1010206 L4726 18 Generalized Fermat

    801 4365 · 23355770 + 1 1010192 L5261 21802 50844724131072 + 1 1010074 L4656 18 Generalized Fermat

    803 2183 · 23355297 + 1 1010049 L5266 21804 3087 · 23355000 + 1 1009960 L5226 21805 8673 · 23354760 + 1 1009888 L5233 21806 50495632131072 + 1 1009681 L4591 18 Generalized Fermat

    807 3015 · 23353943 + 1 1009641 L5290 21808 6819 · 23353877 + 1 1009622 L5174 21809 9 · 101009567 − 1 1009568 L3735 16 Near-repdigit810 6393 · 23353366 + 1 1009468 L5287 21811 3573 · 23353273 + 1 1009440 L5161 21812 4047 · 23353222 + 1 1009425 L5286 21813 1473 · 23353114 + 1 1009392 L5161 21814 1183 · 23353058 + 1 1009375 L3824 17815 50217306131072 + 1 1009367 L4720 18 Generalized Fermat

    816 81 · 23352924 + 1 1009333 L1728 12 Generalized Fermat817 50110436131072 + 1 1009245 L4591 18 Generalized Fermat

    818 50055102131072 + 1 1009183 L4309 18 Generalized Fermat

    819 7123 · 23352180 + 1 1009111 L5161 21820 2757 · 23352180 + 1 1009111 L5285 21821 9307 · 23352014 + 1 1009061 L5284 21822 2217 · 23351732 + 1 1008976 L5283 21823 543 · 23351686 + 1 1008961 L4198 17824 4419 · 23351666 + 1 1008956 L5279 21825 49817700131072 + 1 1008912 L4760 18 Generalized Fermat

    826 3059 · 23351379 + 1 1008870 L5278 21827 7789 · 23351046 + 1 1008770 L5276 21828 9501 · 23350668 + 1 1008656 L5272 21829 49530004131072 + 1 1008582 L4591 18 Generalized Fermat

    830 9691 · 23349952 + 1 1008441 L5242 21831 49397682131072 + 1 1008430 L4764 18 Generalized Fermat

    18

  • rank description digits who year comment

    832 3209 · 23349719 + 1 1008370 L5269 21833 49331672131072 + 1 1008354 L4763 18 Generalized Fermat

    834 393 · 23349525 + 1 1008311 L3101 16835 49243622131072 + 1 1008252 L4741 18 Generalized Fermat

    836 5487 · 23349303 + 1 1008245 L5266 21837 49225986131072 + 1 1008232 L4757 18 Generalized Fermat

    838 2511 · 23349104 + 1 1008185 L5264 21839 7659 · 23348894 + 1 1008122 L5263 21840 9703 · 23348872 + 1 1008115 L5262 21841 49090656131072 + 1 1008075 L4752 18 Generalized Fermat

    842 7935 · 23348578 + 1 1008027 L5161 21843 49038514131072 + 1 1008015 L4743 18 Generalized Fermat

    844 7821 · 23348400 + 1 1007973 L5260 21845 7911 · 23347532 + 1 1007712 L5250 21846 8295 · 23347031 + 1 1007561 L5249 21847 48643706131072 + 1 1007554 L4691 18 Generalized Fermat

    848 4029 · 23346729 + 1 1007470 L5239 21849 9007 · 23346716 + 1 1007466 L5161 21850 8865 · 23346499 + 1 1007401 L5238 21851 6171 · 23346480 + 1 1007395 L5174 21852 6815 · 23346045 + 1 1007264 L5235 21853 5 · 326400785 + 1 1007261 L4786 19854 5951 · 23345977 + 1 1007244 L5233 21855 48370248131072 + 1 1007234 L4701 18 Generalized Fermat

    856 1257 · 23345843 + 1 1007203 L5192 21857 4701 · 23345815 + 1 1007195 L5192 21858 48273828131072 + 1 1007120 L4456 18 Generalized Fermat

    859 7545 · 23345355 + 1 1007057 L5231 21860 5559 · 23344826 + 1 1006897 L5223 21861 6823 · 23344692 + 1 1006857 L5223 21862 4839 · 23344453 + 1 1006785 L5188 21863 7527 · 23344332 + 1 1006749 L5220 21864 7555 · 23344240 + 1 1006721 L5188 21865 6265 · 23344080 + 1 1006673 L5197 21866 1299 · 23343943 + 1 1006631 L5217 21867 2815 · 23343754 + 1 1006574 L5216 21868 5349 · 23343734 + 1 1006568 L5174 21869 2863 · 23342920 + 1 1006323 L5179 20870 7387 · 23342848 + 1 1006302 L5208 20871 9731 · 23342447 + 1 1006181 L5203 20872 7725 · 23341708 + 1 1005959 L5195 20873 7703 · 23341625 + 1 1005934 L5178 20874 7047 · 23341482 + 1 1005891 L5194 20875 4839 · 23341309 + 1 1005838 L5192 20876 47179704131072 + 1 1005815 L4673 17 Generalized Fermat

    877 47090246131072 + 1 1005707 L4654 17 Generalized Fermat

    878 8989 · 23340866 + 1 1005705 L5189 20879 6631 · 23340808 + 1 1005688 L5188 20

    19

  • rank description digits who year comment

    880 1341 · 23340681 + 1 1005649 L5188 20881 733 · 23340464 + 1 1005583 L3035 16882 2636 · 138469911 + 1 1005557 L4944 21883 3679815 · 23340001 + 1 1005448 L4922 19884 57 · 23339932 − 1 1005422 L3519 15885 46776558131072 + 1 1005326 L4659 17 Generalized Fermat

    886 46736070131072 + 1 1005277 L4245 17 Generalized Fermat

    887 46730280131072 + 1 1005270 L4656 17 Generalized Fermat

    888 3651 · 23339341 + 1 1005246 L5177 20889 3853 · 23339296 + 1 1005232 L5178 20890 8015 · 23339267 + 1 1005224 L5176 20891 3027 · 23339182 + 1 1005198 L5174 20892 9517 · 23339002 + 1 1005144 L5172 20893 4003 · 23338588 + 1 1005019 L3035 20894 6841 · 23338336 + 1 1004944 L1474 20895 2189 · 23338209 + 1 1004905 L5031 20896 46413358131072 + 1 1004883 L4626 17 Generalized Fermat

    897 46385310131072 + 1 1004848 L4622 17 Generalized Fermat

    898 46371508131072 + 1 1004831 L4620 17 Generalized Fermat

    899 2957 · 23337667 + 1 1004742 L5144 20900 1515 · 23337389 + 1 1004658 L1474 20901 7933 · 23337270 + 1 1004623 L4666 20902 1251 · 23337116 + 1 1004576 L4893 20903 651 · 23337101 + 1 1004571 L3260 16904 46077492131072 + 1 1004469 L4595 17 Generalized Fermat

    905 8397 · 23336654 + 1 1004437 L5125 20906 8145 · 23336474 + 1 1004383 L5110 20907 1087 · 23336385 − 1 1004355 L1828 12908 5325 · 23336120 + 1 1004276 L2125 20909 849 · 23335669 + 1 1004140 L3035 16910 8913 · 23335216 + 1 1004005 L5079 20911 7725 · 23335213 + 1 1004004 L3035 20912 611 · 23334875 + 1 1003901 L3813 16913 45570624131072 + 1 1003840 L4295 17 Generalized Fermat

    914 403 · 23334410 + 1 1003761 L4293 16915 5491 · 23334392 + 1 1003756 L4815 20916 6035 · 23334341 + 1 1003741 L2125 20917 1725 · 23334341 + 1 1003740 L2125 20918 4001 · 23334031 + 1 1003647 L1203 20919 2315 · 23333969 + 1 1003629 L2125 20920 6219 · 23333810 + 1 1003581 L4582 20921 8063 · 23333721 + 1 1003554 L1823 20922 9051 · 23333677 + 1 1003541 L3924 20923 45315256131072 + 1 1003520 L4562 17 Generalized Fermat

    924 4091 · 23333153 + 1 1003383 L1474 20925 9949 · 23332750 + 1 1003262 L5090 20926 3509 · 23332649 + 1 1003231 L5085 20927 3781 · 23332436 + 1 1003167 L1823 20

    20

  • rank description digits who year comment

    928 4425 · 23332394 + 1 1003155 L3431 20929 6459 · 23332086 + 1 1003062 L2629 20930 44919410131072 + 1 1003020 L4295 17 Generalized Fermat

    931 5257 · 23331758 + 1 1002963 L1188 20932 2939 · 23331393 + 1 1002853 L1823 20933 6959 · 23331365 + 1 1002845 L1675 20934 8815 · 23330748 + 1 1002660 L3329 20935 4303 · 23330652 + 1 1002630 L4730 20936 8595 · 23330649 + 1 1002630 L4723 20937 673 · 23330436 + 1 1002564 L3035 16938 8163 · 23330042 + 1 1002447 L3278 20939 44438760131072 + 1 1002408 L4505 16 Generalized Fermat

    940 193 · 23329782 + 1 1002367 L3460 14 Divides Fermat F (3329780)941 44330870131072 + 1 1002270 L4501 16 Generalized Fermat

    942 2829 · 23329061 + 1 1002151 L4343 20943 5775 · 23329034 + 1 1002143 L1188 20944 7101 · 23328905 + 1 1002105 L4568 20945 7667 · 23328807 + 1 1002075 L4087 20946 129 · 23328805 + 1 1002073 L3859 14947 7261 · 23328740 + 1 1002055 L2914 20948 4395 · 23328588 + 1 1002009 L3924 20949 44085096131072 + 1 1001953 L4482 16 Generalized Fermat

    950 143183 · 23328297 + 1 1001923 L4504 17951 44049878131072 + 1 1001908 L4466 16 Generalized Fermat

    952 9681 · 23327987 + 1 1001828 L1204 20953 2945 · 23327987 + 1 1001828 L2158 20954 5085 · 23327789 + 1 1001769 L1823 20955 8319 · 23327650 + 1 1001727 L1204 20956 4581 · 23327644 + 1 1001725 L2142 20957 655 · 23327518 + 1 1001686 L4490 16958 8863 · 23327406 + 1 1001653 L1675 20959 659 · 23327371 + 1 1001642 L3502 16960 3411 · 23327343 + 1 1001634 L1675 20961 4987 · 23327294 + 1 1001619 L3924 20962 821 · 23327003 + 1 1001531 L3035 16963 2435 · 23326969 + 1 1001521 L3035 20964 2277 · 23326794 + 1 1001469 L5014 20965 6779 · 23326639 + 1 1001422 L3924 20966 6195 · 23325993 + 1 1001228 L1474 19967 555 · 23325925 + 1 1001206 L4414 16968 9041 · 23325643 + 1 1001123 L3924 19969 1993 · 23325302 + 1 1001019 L3662 19970 6179 · 23325027 + 1 1000937 L3048 19971 4485 · 23324900 + 1 1000899 L1355 19972 3559 · 23324650 + 1 1000823 L3035 19973 43165206131072 + 1 1000753 L4309 16 Generalized Fermat

    974 43163894131072 + 1 1000751 L4334 16 Generalized Fermat

    975 6927 · 23324387 + 1 1000745 L3091 19

    21

  • rank description digits who year comment

    976 9575 · 23324287 + 1 1000715 L3824 19977 1797 · 23324259 + 1 1000705 L3895 19978 4483 · 23324048 + 1 1000642 L3035 19979 791 · 23323995 + 1 1000626 L3035 16980 6987 · 23323926 + 1 1000606 L4973 19981 3937 · 23323886 + 1 1000593 L3035 19982 2121 · 23323852 + 1 1000583 L1823 19983 1571 · 23323493 + 1 1000475 L3035 19984 2319 · 23323402 + 1 1000448 L4699 19985 2829 · 23323341 + 1 1000429 L4754 19986 4335 · 23323323 + 1 1000424 L1823 19987 8485 · 23322938 + 1 1000308 L4858 19988 6505 · 23322916 + 1 1000302 L4858 19989 597 · 23322871 + 1 1000287 L3035 16990 9485 · 23322811 + 1 1000270 L2603 19991 8619 · 23322774 + 1 1000259 L3035 19992 387 · 23322763 + 1 1000254 L1455 16993 42654182131072 + 1 1000075 L4208 15 Generalized Fermat

    994 5553507 · 23322000 + 1 1000029 p391 16995 4635733263 · 23321910 − 1 1000005 L4960 21996 4603393047 · 23321910 − 1 1000005 L4960 21997 4288198767 · 23321910 − 1 1000005 L4960 21998 4229494557 · 23321910 − 1 1000005 L4960 21999 4022490843 · 23321910 − 1 1000005 L4960 21

    1000 3936623697 · 23321910 − 1 1000005 L4960 211001 3751145343 · 23321910 − 1 1000005 L4960 211002 3715773735 · 23321910 − 1 1000005 L4960 211003 3698976057 · 23321910 − 1 1000005 L4960 211004 3659465685 · 23321910 − 1 1000005 L4960 201005 3652932033 · 23321910 − 1 1000005 L4960 201006 3603204333 · 23321910 − 1 1000005 L4960 201007 3543733545 · 23321910 − 1 1000005 L4960 201008 3191900133 · 23321910 − 1 1000005 L4960 201009 3174957723 · 23321910 − 1 1000005 L4960 201010 2973510903 · 23321910 − 1 1000005 L4960 191011 2848144257 · 23321910 − 1 1000005 L4960 191012 2820058827 · 23321910 − 1 1000005 L4960 191013 2611553775 · 23321910 − 1 1000004 L4960 201014 2601087525 · 23321910 − 1 1000004 L4960 191015 2386538565 · 23321910 − 1 1000004 L4960 191016 2272291887 · 23321910 − 1 1000004 L4960 191017 2167709265 · 23321910 − 1 1000004 L4960 191018 2087077797 · 23321910 − 1 1000004 L4960 191019 1848133623 · 23321910 − 1 1000004 L4960 191020 1825072257 · 23321910 − 1 1000004 L4960 191021 1633473837 · 23321910 − 1 1000004 L4960 191022 1228267623 · 23321910 − 1 1000004 L4808 191023 1148781333 · 23321910 − 1 1000004 L4808 19

    22

  • rank description digits who year comment

    1024 1065440787 · 23321910 − 1 1000004 L4808 191025 1055109357 · 23321910 − 1 1000004 L4960 191026 992309607 · 23321910 − 1 1000004 L4808 191027 926102325 · 23321910 − 1 1000004 L4808 191028 892610007 · 23321910 − 1 1000004 L4960 191029 763076757 · 23321910 − 1 1000004 L4960 191030 607766997 · 23321910 − 1 1000004 L4808 191031 539679177 · 23321910 − 1 1000004 L4808 191032 425521077 · 23321910 − 1 1000004 L4808 191033 132940575 · 23321910 − 1 1000003 L4808 191034 239378138685 · 23321891 + 1 1000001 L5104 201035 464253 · 23321908 − 1 1000000 L466 131036 32095902 + 3647322 − 1 1000000 x44 181037 191273 · 23321908 − 1 1000000 L466 131038 181457032298417865536 + 1 1000000 L5080 20 Generalized Fermat

    1039 181457032297751865536 + 1 1000000 L5080 20 Generalized Fermat

    1040 329266545599952071213195164252832768+1

    1000000 L5120 20 Generalized Fermat

    1041 329266545599952071213195162589432768+1

    1000000 L5122 20 Generalized Fermat

    1042 [ Long prime 1042 ] 1000000 L5207 20 Generalized Fermat

    1043 [ Long prime 1043 ] 1000000 L5122 20 Generalized Fermat

    1044 [ Long prime 1044 ] 1000000 p419 21 Generalized Fermat

    1045 [ Long prime 1045 ] 1000000 p418 21 Generalized Fermat

    1046 [ Long prime 1046 ] 1000000 p417 21 Generalized Fermat

    1047 [ Long prime 1047 ] 1000000 p416 21 Generalized Fermat

    1048 10999999 + 308267 · 10292000 + 1 1000000 CH10 211049 3139 · 23321905 − 1 999997 L185 081050 4847 · 23321063 + 1 999744 SB9 051051 49 · 23309087 − 1 996137 L1959 131052 139413 · 61279992 + 1 996033 L4001 151053 51 · 23308171 + 1 995861 L2840 151054 245114 · 51424104 − 1 995412 L3686 131055 175124 · 51422646 − 1 994393 L3686 131056 1611 · 22738988 + 1 992038 L4139 151057 2017 · 23292325 − 1 991092 L3345 171058 Phi(3,−10797098304) 989588 L4506 16 Generalized unique1059 61 · 23286535 − 1 989348 L4405 161060 87 · 23279368 + 1 987191 L3458 151061 65 · 23270127 + 1 984409 L3924 151062 5 · 23264650 − 1 982759 L384 131063 223 · 23264459 − 1 982703 L1884 121064 9 · 23259381 − 1 981173 L1828 111065 6 · 51403337 + 1 980892 L4965 201066 33 · 23242126 − 1 975979 L3345 141067 39 · 23240990 + 1 975637 L3432 141068 6 · 51392287 + 1 973168 L4965 201069 211195 · 23224974 + 1 970820 L2121 13

    23

  • rank description digits who year comment

    1070 7 · 61246814 + 1 970211 L4965 191071 35 · 832332073 − 1 969696 L4001 191072 600921 · 23219922 − 1 969299 g337 181073 24644826131072 + 1 968849 L5070 21 Generalized Fermat

    1074 24642712131072 + 1 968844 L5070 21 Generalized Fermat

    1075 24641166131072 + 1 968840 L5070 21 Generalized Fermat

    1076 24522386131072 + 1 968565 L5070 21 Generalized Fermat

    1077 24486806131072 + 1 968483 L4737 21 Generalized Fermat

    1078 24297936131072 + 1 968042 L4201 21 Generalized Fermat

    1079 6 · 409369832 + 1 965900 L4001 151080 23363426131072 + 1 965809 L5033 21 Generalized Fermat

    1081 94373 · 23206717 + 1 965323 L2785 131082 2751 · 23206569 − 1 965277 L4036 151083 23045178131072 + 1 965029 L5023 21 Generalized Fermat

    1084 23011666131072 + 1 964946 L5273 21 Generalized Fermat

    1085 22980158131072 + 1 964868 L4201 21 Generalized Fermat

    1086 22901508131072 + 1 964673 L4743 21 Generalized Fermat

    1087 22808110131072 + 1 964440 L5248 21 Generalized Fermat

    1088 22718284131072 + 1 964215 L5254 21 Generalized Fermat

    1089 22705306131072 + 1 964183 L5248 21 Generalized Fermat

    1090 113983 · 23201175 − 1 963655 L613 081091 34 · 888326732 − 1 963343 L4001 171092 22007146131072 + 1 962405 L4245 20 Generalized Fermat

    1093 4 · 32016951 + 1 962331 L4965 201094 21917442131072 + 1 962173 L4622 20 Generalized Fermat

    1095 21869554131072 + 1 962048 L5061 20 Generalized Fermat

    1096 21757066131072 + 1 961754 L4773 20 Generalized Fermat

    1097 21582550131072 + 1 961296 L5068 20 Generalized Fermat

    1098 21517658131072 + 1 961125 L5126 20 Generalized Fermat

    1099 20968936131072 + 1 959654 L4245 20 Generalized Fermat

    1100 20674450131072 + 1 958849 L4245 20 Generalized Fermat

    1101 20234282131072 + 1 957624 L4942 20 Generalized Fermat

    1102 20227142131072 + 1 957604 L4677 20 Generalized Fermat

    1103 20185276131072 + 1 957486 L4201 20 Generalized Fermat

    1104 33 · 23176269 + 1 956154 L3432 131105 19464034131072 + 1 955415 L4956 20 Generalized Fermat

    1106 600921 · 23173683 − 1 955380 g337 181107 19216648131072 + 1 954687 L5024 20 Generalized Fermat

    1108 1414 · 95482691 − 1 954633 L4877 191109 78 · 236402022 − 1 953965 L4944 201110 18968126131072 + 1 953946 L5011 20 Generalized Fermat

    1111 18813106131072 + 1 953479 L4201 20 Generalized Fermat

    1112 18608780131072 + 1 952857 L4488 20 Generalized Fermat

    1113 1087 · 23164677 − 1 952666 L1828 121114 18509226131072 + 1 952552 L4884 20 Generalized Fermat

    1115 18501600131072 + 1 952528 L4875 20 Generalized Fermat

    1116 15 · 23162659 + 1 952057 p286 121117 18309468131072 + 1 951934 L4928 20 Generalized Fermat

    24

  • rank description digits who year comment

    1118 18298534131072 + 1 951900 L4201 20 Generalized Fermat

    1119 67 · 23161450 + 1 951694 L3223 151120 58 · 117460033 + 1 951436 L4944 201121 17958952131072 + 1 950834 L4201 20 Generalized Fermat

    1122 17814792131072 + 1 950375 L4752 20 Generalized Fermat

    1123 17643330131072 + 1 949824 L4201 20 Generalized Fermat

    1124 19 · 23155009 − 1 949754 L1828 121125 17141888131072 + 1 948183 L4963 19 Generalized Fermat

    1126 17138628131072 + 1 948172 L4963 19 Generalized Fermat

    1127 17119936131072 + 1 948110 L4963 19 Generalized Fermat

    1128 17052490131072 + 1 947885 L4715 19 Generalized Fermat

    1129 17025822131072 + 1 947796 L4870 19 Generalized Fermat

    1130 16985784131072 + 1 947662 L4295 19 Generalized Fermat

    1131 16741226131072 + 1 946837 L4201 19 Generalized Fermat

    1132 16329572131072 + 1 945420 L4201 19 Generalized Fermat

    1133 69 · 23140225 − 1 945304 L3764 141134 3 · 23136255 − 1 944108 L256 071135 15731520131072 + 1 943296 L4245 19 Generalized Fermat

    1136 Phi(3,−6272198304) 943210 L4506 16 Generalized unique1137 15667716131072 + 1 943064 L4387 19 Generalized Fermat

    1138 15567144131072 + 1 942698 L4918 19 Generalized Fermat

    1139 15342502131072 + 1 941870 L4245 19 Generalized Fermat

    1140 15237960131072 + 1 941481 L4898 19 Generalized Fermat

    1141 15147290131072 + 1 941141 L4861 19 Generalized Fermat

    1142 15091270131072 + 1 940930 L4760 19 Generalized Fermat

    1143 3125 · 23124079 + 1 940445 L1160 191144 14790404131072 + 1 939784 L4871 19 Generalized Fermat

    1145 14613898131072 + 1 939101 L4926 19 Generalized Fermat

    1146 14217182131072 + 1 937534 L4387 19 Generalized Fermat

    1147 134 · 864319246 − 1 937473 L4944 201148 14020004131072 + 1 936739 L4249 19 Generalized Fermat

    1149 27777 · 23111027 + 1 936517 L2777 14 Generalized Cullen1150 13800346131072 + 1 935840 L4880 19 Generalized Fermat

    1151 13613070131072 + 1 935062 L4245 19 Generalized Fermat

    1152 628 · 80491322 + 1 935033 L4944 211153 13433028131072 + 1 934305 L4868 18 Generalized Fermat

    1154 1019 · 23103680 − 1 934304 L1828 121155 99 · 23102401 − 1 933918 L1862 171156 256612 · 51335485 − 1 933470 L1056 131157 13083418131072 + 1 932803 L4747 18 Generalized Fermat

    1158 69 · 23097340 − 1 932395 L3764 141159 12978952131072 + 1 932347 L4849 18 Generalized Fermat

    1160 12961862131072 + 1 932272 L4245 18 Generalized Fermat

    1161 12851074131072 + 1 931783 L4670 18 Generalized Fermat

    1162 45 · 23094632 − 1 931579 L1862 181163 57 · 23093440 − 1 931220 L2484 201164 12687374131072 + 1 931054 L4289 18 Generalized Fermat

    1165 513 · 23092705 + 1 931000 L4329 16

    25

  • rank description digits who year comment

    1166 12661786131072 + 1 930939 L4819 18 Generalized Fermat

    1167 38 · 875316292 − 1 930536 L4001 191168 5 · 23090860 − 1 930443 L1862 121169 12512992131072 + 1 930266 L4814 18 Generalized Fermat

    1170 12357518131072 + 1 929554 L4295 18 Generalized Fermat

    1171 12343130131072 + 1 929488 L4720 18 Generalized Fermat

    1172 373 · 520342177 + 1 929357 L3610 141173 19401 · 23086450 − 1 929119 L541 151174 75 · 23086355 + 1 929088 L3760 151175 65 · 23080952 − 1 927461 L2484 201176 11876066131072 + 1 927292 L4737 18 Generalized Fermat

    1177 271 · 23079189 − 1 926931 L2484 181178 766 · 33610412 + 1 926923 L4001 161179 11778792131072 + 1 926824 L4672 18 Generalized Fermat

    1180 31 · 332367560 + 1 926672 L4294 181181 167 · 23077568 − 1 926443 L1862 191182 10001 · 23075602 − 1 925853 L4405 191183 116 · 107455562 − 1 924513 L4064 211184 11292782131072 + 1 924425 L4672 18 Generalized Fermat

    1185 14844 · 430350980 − 1 924299 L4001 161186 11267296131072 + 1 924297 L4654 17 Generalized Fermat

    1187 4 · 31936890 + 1 924132 L4965 20 Generalized Fermat1188 11195602131072 + 1 923933 L4706 17 Generalized Fermat

    1189 60849 · 23067914 + 1 923539 L591 141190 674 · 249385359 + 1 923400 L4944 191191 11036888131072 + 1 923120 L4660 17 Generalized Fermat

    1192 10994460131072 + 1 922901 L4704 17 Generalized Fermat

    1193 21 · 23065701 + 1 922870 p286 121194 10962066131072 + 1 922733 L4702 17 Generalized Fermat

    1195 10921162131072 + 1 922520 L4559 17 Generalized Fermat

    1196 43 · 23063674 + 1 922260 L3432 131197 8460 · 241387047 − 1 921957 L4944 191198 10765720131072 + 1 921704 L4695 17 Generalized Fermat

    1199 111 · 23060238 − 1 921226 L2484 201200 5 · 23059698 − 1 921062 L503 081201 10453790131072 + 1 920031 L4694 17 Generalized Fermat

    1202 453 · 23056181 + 1 920005 L5320 211203 791 · 23055695 + 1 919859 L5177 211204 10368632131072 + 1 919565 L4692 17 Generalized Fermat

    1205 123 · 23049038 + 1 917854 L4119 151206 10037266131072 + 1 917716 L4691 17 Generalized Fermat

    1207 400 · 95463883 − 1 917435 L4001 191208 9907326131072 + 1 916975 L4690 17 Generalized Fermat

    1209 454 · 383354814 + 1 916558 L2012 201210 9785844131072 + 1 916272 L4326 17 Generalized Fermat

    1211 435 · 23041954 + 1 915723 L5320 211212 639 · 23040438 + 1 915266 L5320 211213 1045 · 23037988 + 1 914529 L5178 21

    26

  • rank description digits who year comment

    1214 291 · 23037904 + 1 914503 L3545 151215 311 · 23037565 + 1 914401 L5178 211216 373 · 23036746 + 1 914155 L5178 211217 9419976131072 + 1 914103 L4591 17 Generalized Fermat

    1218 801 · 23036045 + 1 913944 L5348 211219 915 · 23033775 + 1 913261 L5178 211220 9240606131072 + 1 913009 L4591 17 Generalized Fermat

    1221 869 · 23030655 + 1 912322 L5260 211222 643 · 23030650 + 1 912320 L5320 211223 99 · 23029959 − 1 912111 L1862 201224 417 · 23029342 + 1 911926 L5178 211225 345 · 23027769 + 1 911452 L5343 211226 26 · 31910099 + 1 911351 L4799 201227 355 · 23027372 + 1 911333 L5174 211228 99 · 23026660 − 1 911118 L1862 201229 417 · 23026492 + 1 911068 L5197 211230 1065 · 23025527 + 1 910778 L5208 211231 8343 · 42560662 + 1 910099 L4444 201232 699 · 23023263 + 1 910096 L5335 211233 8770526131072 + 1 910037 L4245 17 Generalized Fermat

    1234 8704114131072 + 1 909604 L4670 17 Generalized Fermat

    1235 383731 · 23021377 − 1 909531 L466 111236 46821 · 23021380 − 374567 909531 p363 131237 23021377 − 1 909526 G3 98 Mersenne 371238 615 · 23019445 + 1 908947 L5260 211239 389 · 23019025 + 1 908820 L5178 211240 875 · 23018175 + 1 908565 L5334 211241 555 · 23016352 + 1 908016 L5178 211242 7 · 23015762 + 1 907836 g279 081243 759 · 23015314 + 1 907703 L5178 211244 75 · 23012342 + 1 906808 L3941 151245 459 · 23011814 + 1 906650 L5178 211246 991 · 23010036 + 1 906115 L5326 211247 583 · 23009698 + 1 906013 L5325 211248 8150484131072 + 1 905863 L4249 17 Generalized Fermat

    1249 593 · 23006969 + 1 905191 L5178 211250 367 · 23004536 + 1 904459 L5178 211251 7926326131072 + 1 904276 L4249 17 Generalized Fermat

    1252 1003 · 23003756 + 1 904224 L5320 211253 573 · 23002662 + 1 903895 L5319 211254 7858180131072 + 1 903784 L4201 17 Generalized Fermat

    1255 329 · 23002295 + 1 903784 L5318 211256 7832704131072 + 1 903599 L4249 17 Generalized Fermat

    1257 268514 · 51292240 − 1 903243 L3562 131258 7 · 10902708 + 1 902709 p342 131259 435 · 22997453 + 1 902326 L5167 211260 583 · 22996526 + 1 902047 L5174 211261 1037 · 22995695 + 1 901798 L5178 21

    27

  • rank description digits who year comment

    1262 717 · 22995326 + 1 901686 L5178 211263 885 · 22995274 + 1 901671 L5178 211264 43 · 22994958 + 1 901574 L3222 131265 1065 · 22994154 + 1 901334 L5315 211266 561 · 22994132 + 1 901327 L5314 211267 1095 · 22992587 − 1 900862 L1828 111268 519 · 22991849 + 1 900640 L5311 211269 7379442131072 + 1 900206 L4201 17 Generalized Fermat

    1270 459 · 22990134 + 1 900123 L5197 211271 15 · 22988834 + 1 899730 p286 121272 29 · 564326765 + 1 899024 L4001 171273 971 · 22982525 + 1 897833 L5197 211274 1033 · 22980962 + 1 897362 L5305 211275 39 · 22978894 + 1 896739 L2719 131276 4348099 · 22976221 − 1 895939 L466 081277 205833 · 22976222 − 411665 895938 L4667 171278 18976 · 22976221 − 18975 895937 p373 141279 22976221 − 1 895932 G2 97 Mersenne 361280 1024 · 31877301 + 1 895704 p378 141281 1065 · 22975442 + 1 895701 L5300 21 Divides GF (2975440, 3)1282 591 · 22975069 + 1 895588 L5299 211283 249 · 22975002 + 1 895568 L2322 151284 195 · 22972947 + 1 894949 L3234 151285 6705932131072 + 1 894758 L4201 17 Generalized Fermat

    1286 391 · 22971600 + 1 894544 L5242 211287 46425 · 22971203 + 1 894426 L2777 14 Generalized Cullen1288 625 · 22970336 + 1 894164 L5233 21 Generalized Fermat1289 493 · 72480933 + 1 893256 L3610 141290 561 · 22964753 + 1 892483 L5161 211291 1185 · 22964350 + 1 892362 L5161 211292 6403134131072 + 1 892128 L4510 16 Generalized Fermat

    1293 6391936131072 + 1 892028 L4511 16 Generalized Fermat

    1294 627 · 22959098 + 1 890781 L5197 211295 45 · 22958002 − 1 890449 L1862 171296 729 · 22955389 + 1 889664 L5282 211297 198677 · 22950515 + 1 888199 L2121 121298 88 · 985296644 + 1 887987 L4944 201299 5877582131072 + 1 887253 L4245 16 Generalized Fermat

    1300 17 · 22946584 − 1 887012 L3519 131301 489 · 22944673 + 1 886438 L5167 211302 141 · 22943065 + 1 885953 L3719 151303 757 · 22942742 + 1 885857 L5261 211304 5734100131072 + 1 885846 L4477 16 Generalized Fermat

    1305 33 · 22939063 − 1 884748 L3345 131306 5903 · 22938744 − 1 884654 L4036 151307 717 · 22937963 + 1 884418 L5256 211308 5586416131072 + 1 884361 L4454 16 Generalized Fermat

    1309 243 · 22937316 + 1 884223 L4114 15

    28

  • rank description digits who year comment

    1310 973 · 22937046 + 1 884142 L5253 211311 61 · 22936967 − 1 884117 L2484 171312 903 · 22934602 + 1 883407 L5246 211313 5471814131072 + 1 883181 L4362 16 Generalized Fermat

    1314 188 · 228374503 + 1 883056 L4786 201315 53 · 248368775 + 1 883016 L5196 201316 5400728131072 + 1 882436 L4201 16 Generalized Fermat

    1317 17 · 326350899 + 1 881887 L4786 191318 855 · 22929550 + 1 881886 L5200 211319 5326454131072 + 1 881648 L4201 16 Generalized Fermat

    1320 839 · 22928551 + 1 881585 L5242 211321 7019 · 10881309 − 1 881313 L3564 131322 25 · 22927222 + 1 881184 L1935 13 Generalized Fermat1323 577 · 22925602 + 1 880697 L5201 211324 97366 · 51259955 − 1 880676 L3567 131325 973 · 22923062 + 1 879933 L5228 211326 1126 · 177391360 + 1 879770 L4955 201327 243944 · 51258576 − 1 879713 L3566 131328 693 · 22921528 + 1 879471 L5201 211329 6 · 10879313 + 1 879314 L5009 191330 269 · 22918105 + 1 878440 L2715 151331 331 · 22917844 + 1 878362 L5210 211332 169 · 22917805 − 1 878350 L2484 181333 1085 · 22916967 + 1 878098 L5174 201334 389 · 22916499 + 1 877957 L5215 201335 431 · 22916429 + 1 877936 L5214 201336 1189 · 22916406 + 1 877929 L5174 201337 7 · 22915954 + 1 877791 g279 08 Divides GF (2915953, 12) [g322]1338 4974408131072 + 1 877756 L4380 16 Generalized Fermat

    1339 465 · 22914079 + 1 877228 L5210 201340 427194 · 113427194 + 1 877069 p310 12 Generalized Cullen1341 4893072131072 + 1 876817 L4303 16 Generalized Fermat

    1342 493 · 22912552 + 1 876769 L5192 211343 143157 · 22911403 + 1 876425 L4504 171344 567 · 22910402 + 1 876122 L5201 201345 683 · 22909217 + 1 875765 L5199 201346 674 · 249365445 + 1 875682 L4944 191347 475 · 22908802 + 1 875640 L5192 211348 371 · 22907377 + 1 875211 L5197 201349 207 · 22903535 + 1 874054 L3173 151350 851 · 22902731 + 1 873813 L5177 201351 777 · 22901907 + 1 873564 L5192 201352 717 · 22900775 + 1 873224 L5185 201353 99 · 22899303 − 1 872780 L1862 171354 63 · 22898957 + 1 872675 L3262 131355 11 · 22897409 + 1 872209 L2973 13 Divides GF (2897408, 3)1356 747 · 22895307 + 1 871578 L5178 201357 403 · 22894566 + 1 871354 L5180 20

    29

  • rank description digits who year comment

    1358 629 · 22892961 + 1 870871 L5173 201359 627 · 22891514 + 1 870436 L5168 201360 363 · 22890208 + 1 870042 L3261 201361 471 · 22890148 + 1 870024 L5158 201362 4329134131072 + 1 869847 L4395 16 Generalized Fermat

    1363 583 · 22889248 + 1 869754 L5139 201364 955 · 22887934 + 1 869358 L4958 201365 937 · 22887130 + 1 869116 L5134 201366 885 · 22886389 + 1 868893 L3924 201367 763 · 22885928 + 1 868754 L2125 201368 1071 · 22884844 + 1 868428 L3593 201369 1181 · 22883981 + 1 868168 L3593 201370 51 · 22881227 + 1 867338 L3512 131371 933 · 22879973 + 1 866962 L4951 201372 261 · 22879941 + 1 866952 L4119 151373 4085818131072 + 1 866554 L4201 16 Generalized Fermat

    1374 65 · 22876718 − 1 865981 L2484 161375 21 · 948290747 − 1 865500 L4985 191376 4013 · 22873250 − 1 864939 L1959 141377 41 · 22872058 − 1 864578 L2484 131378 359 · 22870935 + 1 864241 L1300 201379 165 · 22870868 + 1 864220 L4119 151380 961 · 22870596 + 1 864139 L1300 20 Generalized Fermat1381 665 · 22869847 + 1 863913 L2885 201382 283 · 22868750 + 1 863583 L3877 151383 845 · 22868291 + 1 863445 L5100 201384 3125 · 22867399 + 1 863177 L1754 191385 701 · 22867141 + 1 863099 L1422 201386 3814944131072 + 1 862649 L4201 16 Generalized Fermat

    1387 307 · 22862962 + 1 861840 L4740 201388 147 · 22862651 + 1 861746 L1741 151389 1207 · 22861901 − 1 861522 L1828 111390 231 · 22860725 + 1 861167 L2873 151391 193 · 22858812 + 1 860591 L2997 151392 629 · 22857891 + 1 860314 L3035 201393 493 · 22857856 + 1 860304 L5087 201394 241 · 22857313 − 1 860140 L2484 181395 707 · 22856331 + 1 859845 L5084 201396 3615210131072 + 1 859588 L4201 16 Generalized Fermat

    1397 949 · 22854946 + 1 859428 L2366 201398 222361 · 22854840 + 1 859398 g403 061399 725 · 22854661 + 1 859342 L5031 201400 399 · 22851994 + 1 858539 L4099 201401 225 · 22851959 + 1 858528 L3941 151402 247 · 22851602 + 1 858421 L3865 151403 183 · 22850321 + 1 858035 L2117 151404 1191 · 22849315 + 1 857733 L1188 201405 717 · 22848598 + 1 857517 L1204 20

    30

  • rank description digits who year comment

    1406 795 · 22848360 + 1 857445 L4099 201407 3450080131072 + 1 856927 L4201 16 Generalized Fermat

    1408 705 · 22846638 + 1 856927 L1808 201409 369 · 22846547 + 1 856899 L4099 201410 955 · 22844974 + 1 856426 L1188 201411 753 · 22844700 + 1 856343 L1204 201412 11138 · 745297992 − 1 855884 L4189 191413 111 · 22841992 + 1 855527 L1792 151414 649 · 22841318 + 1 855325 L4732 201415 305 · 22840155 + 1 854975 L4907 201416 1149 · 22839622 + 1 854815 L2042 201417 95 · 22837909 + 1 854298 L3539 131418 199 · 22835667 − 1 853624 L2484 191419 595 · 22833406 + 1 852943 L4343 201420 1101 · 22832061 + 1 852539 L4930 201421 813 · 22831757 + 1 852447 L4951 201422 435 · 22831709 + 1 852432 L4951 201423 543 · 22828217 + 1 851381 L4746 191424 704 · 249354745 + 1 850043 L4944 191425 1001 · 22822037 + 1 849521 L1209 191426 84466 · 51215373 − 1 849515 L3562 131427 97 · 22820650 + 1 849103 L2163 131428 107 · 22819922 − 1 848884 L2484 131429 84256 · 31778899 + 1 848756 L4789 181430 45472 · 31778899 − 1 848756 L4789 181431 497 · 22818787 + 1 848543 L4842 191432 97 · 22818306 + 1 848397 L3262 131433 177 · 22816050 + 1 847718 L129 121434 553 · 22815596 + 1 847582 L4980 191435 1071 · 22814469 + 1 847243 L3035 191436 105 · 22813000 + 1 846800 L3200 151437 1115 · 22812911 + 1 846774 L1125 191438 96 · 10846519 − 1 846521 L2425 11 Near-repdigit1439 763 · 22811726 + 1 846417 L3919 191440 1125 · 22811598 + 1 846379 L4981 191441 891 · 22810100 + 1 845928 L4981 191442 441 · 22809881 + 1 845862 L4980 191443 711 · 22808473 + 1 845438 L1502 191444 1089 · 22808231 + 1 845365 L4687 191445 63 · 22807130 + 1 845033 L3262 131446 1083 · 22806536 + 1 844855 L3035 191447 675 · 22805669 + 1 844594 L1932 191448 819 · 22805389 + 1 844510 L3372 191449 1027 · 22805222 + 1 844459 L3035 191450 437 · 22803775 + 1 844024 L3168 191451 4431 · 372327835 − 1 842718 L4944 191452 150344 · 51205508 − 1 842620 L3547 131453 311 · 22798459 + 1 842423 L4970 19

    31

  • rank description digits who year comment

    1454 400254 · 127400254 + 1 842062 g407 13 Generalized Cullen1455 2639850131072 + 1 841690 L4249 16 Generalized Fermat

    1456 43 · 22795582 + 1 841556 L2842 131457 1001 · 22794357 + 1 841189 L1675 191458 117 · 22794014 + 1 841085 L1741 151459 1057 · 22792700 + 1 840690 L1675 191460 345 · 22792269 + 1 840560 L1754 191461 711 · 22792072 + 1 840501 L4256 191462 973 · 22789516 + 1 839731 L3372 191463 2187 · 22786802 + 1 838915 L1745 191464 15 · 22785940 + 1 838653 p286 121465 1337 · 22785444 − 1 838506 L4518 171466 711 · 22784213 + 1 838135 L4687 191467 58582 · 91427818 + 1 838118 L4944 201468 923 · 22783153 + 1 837816 L1675 191469 1103 · 22783149 + 1 837815 L3784 191470 485 · 22778151 + 1 836310 L1745 191471 600921 · 22776014 − 1 835670 g337 171472 1129 · 22774934 + 1 835342 L1774 191473 8700 · 241350384 − 1 834625 L4944 191474 1023 · 22772512 + 1 834613 L4724 191475 656 · 249348030 + 1 833953 L4944 191476 92 · 10833852 − 1 833854 L4789 18 Near-repdigit1477 437 · 22769299 + 1 833645 L3760 191478 967 · 22768408 + 1 833377 L3760 191479 2280466131072 + 1 833359 L4201 16 Generalized Fermat

    1480 1171 · 22768112 + 1 833288 L2676 191481 57 · 22765963 + 1 832640 L3262 131482 1323 · 22764024 + 1 832058 L1115 191483 77 · 22762047 + 1 831461 L3430 131484 745 · 22761514 + 1 831302 L1204 191485 2194180131072 + 1 831164 L4276 16 Generalized Fermat

    1486 7 · 10830865 + 1 830866 p342 141487 893 · 22758841 + 1 830497 L4826 191488 537 · 22755164 + 1 829390 L3035 191489 579 · 22754370 + 1 829151 L1823 191490 441 · 22754188 + 1 829096 L2564 19 Generalized Fermat1491 215 · 22751022 − 1 828143 L2484 181492 337 · 22750860 + 1 828094 L4854 191493 701 · 22750267 + 1 827916 L3784 191494 467 · 22749195 + 1 827593 L1745 191495 245 · 22748663 + 1 827433 L3173 151496 591 · 22748315 + 1 827329 L3029 191497 57 · 22747499 + 1 827082 L3514 13 Divides Fermat F (2747497)1498 1089 · 22746155 + 1 826679 L2583 191499 707 · 22745815 + 1 826576 L3760 191500 459 · 22742310 + 1 825521 L4582 191501 777 · 22742196 + 1 825487 L3919 19

    32

  • rank description digits who year comment

    1502 609 · 22741078 + 1 825150 L3091 191503 639 · 22740186 + 1 824881 L4958 191504 905 · 22739805 + 1 824767 L4958 191505 1955556131072 + 1 824610 L4250 15 Generalized Fermat

    1506 777 · 22737282 + 1 824007 L1823 191507 765 · 22735232 + 1 823390 L1823 191508 609 · 22735031 + 1 823330 L1823 191509 305 · 22733989 + 1 823016 L1823 191510 165 · 22732983 + 1 822713 L1741 151511 1133 · 22731993 + 1 822415 L4687 191512 251 · 22730917 + 1 822091 L3924 151513 1185 · 22730620 + 1 822002 L4948 191514 173 · 22729905 + 1 821786 L3895 151515 1981 · 22728877 − 1 821478 L1134 181516 693 · 22728537 + 1 821375 L3035 191517 501 · 22728224 + 1 821280 L3035 191518 763 · 22727928 + 1 821192 L3924 191519 10 · 743285478 + 1 819606 L4955 191520 17 · 22721830 − 1 819354 p279 101521 1101 · 22720091 + 1 818833 L4935 191522 1766192131072 + 1 818812 L4231 15 Generalized Fermat

    1523 165 · 22717378 − 1 818015 L2055 121524 68633 · 22715609 + 1 817485 L5105 201525 1722230131072 + 1 817377 L4210 15 Generalized Fermat

    1526 9574 · 51169232 + 1 817263 L4944 211527 1717162131072 + 1 817210 L4226 15 Generalized Fermat

    1528 133 · 22713410 + 1 816820 L3223 151529 45 · 22711732 + 1 816315 L1349 121530 569 · 22711451 + 1 816231 L4568 191531 335 · 22708958 − 1 815481 L2235 201532 93 · 22708718 − 1 815408 L1862 161533 1660830131072 + 1 815311 L4207 15 Generalized Fermat

    1534 837 · 22708160 + 1 815241 L4314 191535 1005 · 22707268 + 1 814972 L4687 191536 13 · 458306196 + 1 814748 L3610 151537 253 · 22705844 + 1 814543 L4083 151538 657 · 22705620 + 1 814476 L4907 191539 39 · 22705367 + 1 814399 L1576 13 Divides GF (2705360, 3)1540 303 · 22703864 + 1 813947 L1204 191541 141 · 22702160 + 1 813434 L1741 151542 753 · 22701925 + 1 813364 L4314 191543 133 · 22701452 + 1 813221 L3173 151544 521 · 22700095 + 1 812813 L4854 191545 393 · 22698956 + 1 812470 L1823 191546 417 · 22698652 + 1 812378 L3035 191547 525 · 22698118 + 1 812218 L1823 191548 3125 · 22697651 + 1 812078 L3924 191549 153 · 22697173 + 1 811933 L3865 15

    33

  • rank description digits who year comment

    1550 1560730131072 + 1 811772 L4201 15 Generalized Fermat

    1551 26 · 31700041 + 1 811128 L4799 201552 Phi(3,−153865465536) 810961 L4561 17 Generalized unique1553 11 · 22691961 + 1 810363 p286 13 Divides GF (2691960, 12)1554 7335 · 22689080 − 1 809498 L4036 151555 1049 · 22688749 + 1 809398 L4869 181556 329 · 22688221 + 1 809238 L3035 181557 865 · 22687434 + 1 809002 L4844 181558 989 · 22686591 + 1 808748 L2805 181559 136 · 904273532 + 1 808609 L4944 201560 243 · 22685873 + 1 808531 L3865 151561 909 · 22685019 + 1 808275 L3431 181562 1455 · 22683953 − 1 807954 L1134 201563 11210 · 241339153 − 1 807873 L4944 191564 Phi(3,−145674665536) 807848 L4561 17 Generalized unique1565 975 · 22681840 + 1 807318 L4155 181566 295 · 22680932 + 1 807044 L1741 151567 Phi(3,−142760465536) 806697 L4561 17 Generalized unique1568 575 · 22679711 + 1 806677 L2125 181569 2386 · 52469972 + 1 806477 L4955 191570 219 · 22676229 + 1 805628 L1792 151571 637 · 22675976 + 1 805552 L3035 181572 Phi(3,−139558365536) 805406 L4561 17 Generalized unique1573 951 · 22674564 + 1 805127 L1885 181574 1372930131072 + 1 804474 g236 03 Generalized Fermat

    1575 662 · 1009267747 − 1 804286 L4944 201576 261 · 22671677 + 1 804258 L3035 151577 895 · 22671520 + 1 804211 L3035 181578 1361244131072 + 1 803988 g236 04 Generalized Fermat

    1579 789 · 22670409 + 1 803877 L3035 181580 256 · 11771408 + 1 803342 L3802 14 Generalized Fermat1581 503 · 22668529 + 1 803310 L4844 181582 255 · 22668448 + 1 803286 L1129 151583 4189 · 22666639 − 1 802742 L1959 171584 539 · 22664603 + 1 802129 L4717 181585 26036 · 745279261 − 1 802086 L4189 201586 1396 · 51146713 − 1 801522 L3547 131587 267 · 22662090 + 1 801372 L3234 15 Divides Fermat F (2662088)1588 51 · 892271541 + 1 801147 L4944 191589 297 · 22660048 + 1 800757 L3865 151590 99 · 22658496 − 1 800290 L1862 211677 334310 · 211334310 − 1 777037 p350 12 Generalized Woodall1715 169 · 22545526 + 1 766282 L2125 15 Divides GF (2545525, 10), gener-

    alized Fermat

    1718 9 · 22543551 + 1 765687 L1204 11 Divides Fermat F (2543548),GF (2543549, 3),GF (2543549, 6),GF (2543549, 12)

    34

  • rank description digits who year comment

    1782 3 · 22478785 + 1 746190 g245 03 Divides Fermat F (2478782),GF (2478782, 3),GF (2478776, 6),GF (2478782, 12)

    1813 41676 · 7875197 − 1 739632 L2777 12 Generalized Woodall1921 1183953 · 22367907 − 1 712818 L447 07 Woodall1925 150209! + 1 712355 p3 11 Factorial

    1978 147855!− 1 700177 p362 13 Factorial2020 3 · 22291610 + 1 689844 L753 08 Divides GF (2291607, 3),

    GF (2291609, 5)

    2056 2 · 11171168429 + 1 681817 g427 14 Divides Phi(11171168429, 2)2088 374565 · 22247391 + 1 676538 L3532 13 Generalized Cullen2118 11 · 22230369 + 1 671410 L2561 11 Divides GF (2230368, 3)2157 2 · 179294739 + 1 664004 g424 11 Divides Phi(179294739, 2)2170 404882 · 43404882 − 1 661368 p310 11 Generalized Woodall2174 2 · 10271164621 + 1 660397 g427 14 Divides Phi(10271164621, 2)2179 2 · 659233973 + 1 659544 g424 15 Divides Phi(659233973, 2)2194 2 · 191287901 + 1 656713 g424 15 Divides Phi(191287901, 2)2226 7 · 22167800 + 1 652574 g279 07 Divides Fermat F (2167797),

    GF (2167799, 5),GF (2167799, 10)

    2236 1179 · 22158475 + 1 649769 L3035 14 Divides GF (2158470, 6)2254 3 · 22145353 + 1 645817 g245 03 Divides Fermat F (2145351),

    GF (2145351, 3),GF (2145352, 5),GF (2145348, 6),GF (2145352, 10),GF (2145351, 12)

    2257 753 · 22143388 + 1 645227 L2583 14 Divides GF (2143383, 3)2259 25 · 22141884 + 1 644773 L1741 11 Divides Fermat F (2141872),

    GF (2141871, 5),GF (2141872, 10); generalizedFermat

    2262 7 · 22139912 + 1 644179 g279 07 Divides GF (2139911, 12)2266 292402 · 159292402 + 1 643699 g407 12 Generalized Cullen2276 93 · 10642225 − 1 642227 L4789 20 Near-repdigit2308 189 · 22115473 + 1 636824 L3784 14 Divides GF (2115468, 6)2320 316903 · 10633806 + 1 633812 L3532 14 Generalized Cullen2358 563528 · 13563528 − 1 627745 p262 09 Generalized Woodall2360 437960 · 31313880 + 1 626886 L2777 12 Generalized Cullen2363 107 · 22081775 + 1 626679 L3432 13 Divides GF (2081774, 6)2368 269328 · 211269328 + 1 626000 p354 12 Generalized Cullen2473 8 · 10608989 − 1 608990 p297 11 Near-repdigit2487 45 · 22014557 + 1 606444 L1349 12 Divides GF (2014552, 10)2488 251749 · 22013995 − 1 606279 L436 07 Woodall2521 657 · 21998854 + 1 601718 L2520 13 Divides GF (1998852, 10)2542 17 · 21990299 + 1 599141 g267 06 Divides GF (1990298, 3)2548 101 · 21988279 + 1 598534 L3141 13 Divides GF (1988278, 12)

    35

  • rank description digits who year comment

    2607 175 · 21962288 + 1 590710 L2137 13 Divides GF (1962284, 10)2612 225 · 21960083 + 1 590047 L3548 13 Divides GF (1960078, 6)2698 2 · 47346759 + 1 579816 g424 11 Divides Phi(47346759, 2)2808 1183414 · 31183414 + 1 564639 L2841 14 Generalized Cullen2815 71 · 21873569 + 1 564003 L1223 11 Divides GF (1873568, 5)2840 13 · 21861732 + 1 560439 g267 05 Divides GF (1861731, 6)2913 3 · 21832496 + 1 551637 p189 07 Divides GF (1832490, 3),

    GF (1832494, 5)

    2927 39 · 21824871 + 1 549343 L2664 11 Divides GF (1824867, 6)2968 92 · 10544905 − 1 544907 L3735 15 Near-repdigit3064 45 · 21779971 + 1 535827 L1223 11 Divides GF (1779969, 5)3075 5 · 21777515 + 1 535087 p148 05 Divides GF (1777511, 5),

    GF (1777514, 6)

    3084 129 · 21774709 + 1 534243 L2526 13 Divides GF (1774705, 12)3099 190088 · 5760352 − 1 531469 L2841 12 Generalized Woodall3187 2 · 191232149 + 1 529540 g424 11 Divides Phi(191232149, 2)3356 183 · 21747660 + 1 526101 L2163 13 Divides Fermat F (1747656)3982 5 · 10511056 − 1 511057 p297 11 Near-repdigit4079 63 · 21686050 + 1 507554 L2085 11 Divides GF (1686047, 12)4095 110059! + 1 507082 p312 11 Factorial

    4213 55 · 21669798 + 1 502662 L2518 11 Divides GF (1669797, 12)4230 21667321 − 2833661 + 1 501914 L137 11 Gaussian Mersenne norm 38?,

    generalized unique

    4340 30981 · 14433735 − 1 497121 p77 15 Generalized Woodall4414 1035092 · 31035092 − 1 493871 L3544 13 Generalized Woodall4464 2 · 359192871 + 1 492804 g424 14 Divides Phi(359192871, 2)4473 321671 · 34321671 − 1 492638 L4780 19 Generalized Woodall5017 216290 · 167216290 − 1 480757 L2777 12 Generalized Woodall5223 1098133#− 1 476311 p346 12 Primorial5246 87 · 21580858 + 1 475888 L2487 11 Divides GF (1580856, 6)5326 10474500 + 999 · 10237249 + 1 474501 p363 14 Palindrome5427 199388 · 233199388 − 1 472028 L4780 18 Generalized Woodall5437 103040!− 1 471794 p301 10 Factorial5616 3803 · 21553013 + 1 467508 L1957 20 Divides GF (1553012, 5)5685 95 · 10466002 − 1 466004 L3735 14 Near-repdigit5732 5 · 10464843 − 1 464844 p297 11 Near-repdigit5747 3555·21542813−4953427788675·21290000−1 464437 p363 20 Arithmetic progression (3, d =

    3555 · 21542812 − 4953427788675 ·21290000)

    6015 341351 · 22341351 − 1 458243 p260 17 Generalized Woodall6099 135 · 21515894 + 1 456332 L1129 13 Divides GF (1515890, 10)6136 2 · 839155785 + 1 455479 g424 14 Divides Phi(839155785, 2)6319 13 · 21499876 + 1 451509 g267 04 Divides GF (1499875, 3)6400 131 · 21494099 + 1 449771 L2959 12 Divides Fermat F (1494096)6434 7 · 21491852 + 1 449094 p166 05 Divides GF (1491851, 6)6520 1286 · 3937499 + 1 447304 L2777 12 Generalized Cullen6580 5 · 10445773 − 1 445774 p297 11 Near-repdigit6691 176660 · 18353320 − 1 443519 p325 11 Generalized Woodall

    36

  • rank description digits who year comment

    6777 1467763 · 21467763 − 1 441847 L381 07 Woodall7081 4125·21445206−2723880039837·21290000−1 435054 p199 16 Arithmetic progression (3, d =

    4125 · 21445205 − 2723880039837 ·21290000)

    7082 4125 · 21445205 − 1 435054 L1959 14 Arithmetic progression (2, d =4125 · 21445205 − 2723880039837 ·21290000) [p199]

    7343 94550!− 1 429390 p290 10 Factorial7447 15 · 21418605 + 1 427044 g279 06 Divides GF (1418600, 5),

    GF (1418601, 6)

    7507 2415·21413628−1489088842587·21290000−1 425548 p199 17 Arithmetic progression (3, d =2415 · 21413627 − 1489088842587 ·21290000)

    7508 2415 · 21413627 − 1 425548 L1959 14 Arithmetic progression (2, d =2415 · 21413627 − 1489088842587 ·21290000) [p199]

    7635 2985 ·21404275−770527213395 ·21290000−1 422733 p199 17 Arithmetic progression (3, d =2985 · 21404274 − 770527213395 ·21290000)

    7636 2985 · 21404274 − 1 422733 L1959 14 Arithmetic progression (2, d =2985 · 21404274 − 770527213395 ·21290000) [p199]

    7729 21398269 − 1 420921 G1 96 Mersenne 357799 999999998 · 10419343 − 1 419352 L1958 19 Near-repdigit7860 182402 · 14364804 − 1 418118 p325 11 Generalized Woodall7869 17 · 21388355 + 1 417938 g267 05 Divides GF (1388354, 10)7880 249798 · 47249798 − 1 417693 L4780 18 Generalized Woodall8396 338707 · 21354830 + 1 407850 L124 05 Cullen8568 11 · 21343347 + 1 404389 p169 05 Divides GF (1343346, 6)8669 107 · 21337019 + 1 402485 L2659 12 Divides GF (1337018, 10)8694 1389 · 21335434 + 1 402009 L1209 15 Divides GF (1335433, 10)8907 5 · 21320487 + 1 397507 g55 02 Divides GF (1320486, 12)8939 94189 · 21318646 + 1 396957 L2777 13 Generalized Cullen9265 10390636 + 999 · 10195317 + 1 390637 p363 14 Palindrome9388 9422094211005 · 21290000 − 1 388342 L3494 20 Arithmetic progression (3, d =

    2227792035315 · 21290001)9389 2618163402417 · 21290001 − 1 388342 L927 16 Sophie Germain (2p+ 1)9390 4966510140375 · 21290000 − 1 388342 L3573 20 Arithmetic progression (2, d =

    2227792035315 · 21290001)9994 2996863034895 · 21290000 + 1 388342 L2035 16 Twin (p+ 2)9995 299686303