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

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 caldwell@utm.eduUniversity 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:caldwell@utm.eduhttp://www.utm.edu/~caldwell/


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




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



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



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


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



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



4




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






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



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



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






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




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


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



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)


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


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


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


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


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


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


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










11















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





















535 [ Long prime 535 ] 1036620 p384 15







12





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































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


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

13






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
















639 24 · 414391179 + 1 1023717 L4273 16

14







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



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





















15










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






735 9853 · 23366608 + 1 1013454 L5178 21

16


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


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



783 6115 · 23358998 + 1 1011163 L5309 21

17






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



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


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



18








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


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


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

19


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







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




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


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


975 6927 · 23324387 + 1 1000745 L3091 19

21


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


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


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




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


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


























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






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

24















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










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





1165 513 · 23092705 + 1 931000 L4329 16

25






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


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


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



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








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

26




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


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




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


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


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


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



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


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



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


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


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



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



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



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


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


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


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)


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


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

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

Documents

pierre de fermat

modular juggling with fermat

osn fermat

kepler ,copernico ,descartes ,fermat

grinding - fermat machine tool

fermat line

descartes vs, fermat

vhdl for engineers - kenneth l. short.pdf

english-grammer-in short.pdf

15 - campeones de ajedrez - short.pdf

fermat number

l'ultimo teorema di fermat

fermat combined contest

kompetisi fermat 2020 - cemc

fermat dan dixon

supporting digital financial services in myanmar short.pdf

plana fuvest 2 - fermat

fermat pseudoprime

el teorema de fermat

διαθλαση fermat