binary symmetric book 3 (holy quran)
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For My Parents,
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Binary
SymmetricBook
Dr.Eng.HalisAYDEMR
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BBBBinarySSSSymmetricBBBBook
ISBN: 978-1-84728-904-9
Published by LuLu
www.Lulu.com
All rights reserved. No part of this publication may be reproduced,stored in a retrieval system, or transmitted in any form or by any means,
electronic, mechanical, photocopying, recording or otherwise, withoutwritten permission from the author.
www.symmetricbook.com_________________________________________________
Author /Dr. Eng. Halis AYDEMRHendese Limited Company
Uluyol Altnhan kat:1 no: 17/A
Osmangazi/Bursa 16220
Turkey
+90 224 2523413
+90 224 2720186
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Contents
IndexoftheHolyQurnIndexoftheHolyQurnIndexoftheHolyQurnIndexoftheHolyQurn ..................................................... 19
ModularApproachModularApproachModularApproachModularApproach .............................................................. 22
Mod2 ............................................................................... 22
Mod3................................................................................ 22
KoranindexMod3........................................................... 23
NumberofversesinthefirstpartofKoranMod3.......... 26
NumberofversesinthesecondpartofKoranMod3..... 27
SequencenumbersinthefirstpartofKoranMod3........ 30
SequencenumbersinthesecondpartofKoranMod3... 31
NumberofversesofthesurahsMod3whichevaluateto0
.......................................................................................... 35
NumberofversesofthesurahsMod3whichevaluateto1
.......................................................................................... 38
NumberofversesofthesurahsMod3whichevaluateto2.......................................................................................... 41
Sequencenumbers+numberofversesMod3................ 44
(sequencenumbers+numberofverses)ofthesurahs
Mod3whichevaluatetozero........................................... 46
(sequencenumbers+numberofverses)ofthesurahs
Mod3whichevaluateto1................................................ 50
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(sequencenumbers+numberofverses)ofthesurahs
Mod3whichevaluateto2................................................ 53
NumberofversesofthesurahsinthefirstpartMod3
whichevaluateto0........................................................... 59
(sequencenumbers+numberofverses)ofthesurahsin
thefirstpartMod3whichevaluateto0........................... 59
NumberofversesofthesurahsinthesecondpartMod3
whichevaluateto0........................................................... 61
(sequencenumbers+numberofverses)ofthesurahsin
thesecondpartMod3whichevaluateto0...................... 62
NumberofversesofthesurahsinthefirstpartMod3whichevaluateto1........................................................... 63
(sequencenumbers+numberofverses)ofthesurahsin
thefirstpartMod3whichevaluateto1........................... 64
NumberofversesofthesurahsinthesecondpartMod3
whichevaluateto1........................................................... 65
(sequencenumbers+numberofverses)ofthesurahsin
thesecondpartMod3whichevaluateto1...................... 66
NumberofversesofthesurahsinthefirstpartMod3
whichevaluateto2........................................................... 68
(sequencenumbers+numberofverses)ofthesurahsin
thefirstpartMod3whichevaluateto2........................... 69
NumberofversesofthesurahsinthesecondpartMod3
whichevaluateto2........................................................... 71
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(sequencenumbers+numberofverses)ofthesurahsin
thesecondpartMod3whichevaluateto2...................... 71
Distributionofsequencenumbersofthesurahsinthefirst
partMod3........................................................................ 73
Distributionofsequencenumbersofthesurahsinthe
secondpartMod3............................................................ 75
Distributionofthenumberofversesofthesurahsinthe
firstpartMod3................................................................. 79
Distributionofthenumberofversesofthesurahsinthe
secondpartMod3............................................................ 80
Distributionof(sequencenumbers+thenumberofverses)ofthesurahsinthefirstpartMod3.................... 84
Distributionof(sequencenumbers+thenumberof
verses)ofthesurahsinthesecondpartMod3 ............... 85
Distributionof(sequencenumbersthenumberof
verses)ofthesurahsinthefirstpartMod3.................... 88
Distributionof(sequencenumbersthenumberof
verses)ofthesurahsinthesecondpartMod3 ............... 90
Distributionof(thenumberofversessequence
numbers)ofthesurahsinthefirstpartMod3................ 94
Distributionof(thenumberofversessequence
numbers)ofthesurahsinthesecondpartMod3........... 96
Distributionof(thenumberofverses*sequencenumbers)
ofthesurahsinthefirstpartMod3............................... 100
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Distributionof(thenumberofverses*sequencenumbers)
ofthesurahsinthesecondpartMod3........................... 102
NumberofversesoftheNumberofversesoftheNumberofversesoftheNumberofversesofthesurahssurahssurahssurahsingroupsof19ingroupsof19ingroupsof19ingroupsof19 ................. 107
Oddsandevensinthefirstgroupof19surahs............... 107
Oddsandevensinthesecondgroupof19surahs.......... 108
Oddsandevensinthethirdgroupof19surahs ............. 109
Oddsandevensinthefourthgroupof19surahs........... 111
Oddsandevensinthefifthgroupof19surahs .............. 112
Oddsandevensinthesixthgroupof19surahs.............. 113
Primesandnon-primesinthefirstgroupof19surahs... 119
Primesandnon-primesinthesecondgroupof19surahs
........................................................................................ 120
Primesandnon-primesinthethirdgroupof19surahs . 121
Primesandnon-primesinthefourthgroupof19surahs
........................................................................................ 123
Primesandnon-primesinthefifthgroupof19surahs .. 124
Primesandnon-primesinthesixthgroupof19surahs.. 125
SequencenumbersSequencenumbersSequencenumbersSequencenumbersandthenumberofversesandthenumberofversesandthenumberofversesandthenumberofversesoftheoftheoftheoftheSurahsSurahsSurahsSurahs
inGroupsof19inGroupsof19inGroupsof19inGroupsof19................................................................... 129
Surahswithoddsequencenumberandoddnumberof
versesinthefirstgroupof19surahs............................... 129
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Surahswithoddsequencenumberandoddnumberof
versesinthesecondgroupof19surahs.......................... 130
Surahswithoddsequencenumberandoddnumberof
versesinthethirdgroupof19surahs............................. 132
Surahswithoddsequencenumberandoddnumberof
versesinthefourthgroupof19surahs........................... 133
Surahswithoddsequencenumberandoddnumberof
versesinthefifthgroupof19surahs.............................. 134
Surahswithoddsequencenumberandoddnumberof
versesinthesixthgroupof19surahs ............................. 135
Surahswithevensequencenumberandoddnumberofversesinthefirstgroupof19surahs............................... 140
Surahswithevensequencenumberandoddnumberof
versesinthesecondgroupof19surahs.......................... 141
Surahswithevensequencenumberandoddnumberof
versesinthethirdgroupof19surahs............................. 142
Surahswithevensequencenumberandoddnumberof
versesinthefourthgroupof19surahs........................... 144
Surahswithevensequencenumberandoddnumberof
versesinthefifthgroupof19surahs.............................. 145
Surahswithevensequencenumberandoddnumberof
versesinthesixthgroupof19surahs ............................. 146
Surahswithevensequencenumberandevennumberof
versesinthefirstgroupof19surahs............................... 154
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Surahswithevensequencenumberandevennumberof
versesinthesecondgroupof19surahs.......................... 155
Surahswithevensequencenumberandevennumberof
versesinthethirdgroupof19surahs............................. 156
Surahswithevensequencenumberandevennumberof
versesinthefourthgroupof19surahs........................... 158
Surahswithevensequencenumberandevennumberof
versesinthefifthgroupof19surahs.............................. 159
Surahswithevensequencenumberandevennumberof
versesinthesixthgroupof19surahs ............................. 160
Surahswithoddsequencenumberandevennumberofversesinthefirstgroupof19surahs............................... 165
Surahswithoddsequencenumberandevennumberof
versesinthesecondgroupof19surahs.......................... 166
Surahswithoddsequencenumberandevennumberof
versesinthethirdgroupof19surahs............................. 167
Surahswithoddsequencenumberandevennumberof
versesinthefourthgroupof19surahs........................... 169
Surahswithoddsequencenumberandevennumberof
versesinthefifthgroupof19surahs.............................. 170
Surahswithoddsequencenumberandevennumberof
versesinthesixthgroupof19surahs ............................. 171
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Homogeneoussurahswithinthefirstgroupof19interms
ofoddness-evennessofthesequencenumbersandthe
numberofverses ........................................................... 179
Homogeneoussurahswithinthesecondgroupof19intermsofoddness-evennessofthesequencenumbersand
thenumberofverses ..................................................... 180
Homogeneoussurahswithinthethirdgroupof19interms
ofoddness-evennessofthesequencenumbersandthe
numberofverses ........................................................... 181
Homogeneoussurahswithinthefourthgroupof19in
termsofoddness-evennessofthesequencenumbersand
thenumberofverses ..................................................... 182
Homogeneoussurahswithinthefifthgroupof19interms
ofoddness-evennessofthesequencenumbersandthe
numberofverses ........................................................... 184
Homogeneoussurahswithinthesixthgroupof19interms
ofoddness-evennessofthesequencenumbersandthe
numberofverses ........................................................... 185
Non-homogeneoussurahswithinthefirstgroupof19in
termsofoddness-evennessofthesequencenumbersand
thenumberofverses ..................................................... 189
Non-homogeneoussurahswithinthesecondgroupof19in
termsofoddness-evennessofthesequencenumbersand
thenumberofverses ..................................................... 190
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Contents
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Non-homogeneoussurahswithinthethirdgroupof19in
termsofoddness-evennessofthesequencenumbersand
thenumberofverses ..................................................... 191
Non-homogeneoussurahswithinthefourthgroupof19intermsofoddness-evennessofthesequencenumbersand
thenumberofverses ..................................................... 192
Non-homogeneoussurahswithinthefifthgroupof19in
termsofoddness-evennessofthesequencenumbersand
thenumberofverses ..................................................... 194
Non-homogeneoussurahswithinthesixthgroupof19in
termsofoddness-evennessofthesequencenumbersand
thenumberofverses ..................................................... 195
Homogeneoussurahswithinthefirstgroupof19:boththe
sequencenumberandthenumberofversesareprime,or
botharenon-prime......................................................... 201
Homogeneoussurahswithinthesecondgroupof19:both
thesequencenumberandthenumberofversesare
prime,orbotharenon-prime......................................... 202
Homogeneoussurahswithinthethirdgroupof19:both
thesequencenumberandthenumberofversesare
prime,orbotharenon-prime......................................... 203
Homogeneoussurahswithinthefourthgroupof19:both
thesequencenumberandthenumberofversesare
prime,orbotharenon-prime......................................... 205
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Homogeneoussurahswithinthefifthgroupof19:boththe
sequencenumberandthenumberofversesareprime,or
botharenon-prime......................................................... 206
Homogeneoussurahswithinthesixthgroupof19:boththesequencenumberandthenumberofversesareprime,or
botharenon-prime......................................................... 207
Non-homogeneoussurahswithinthefirstgroupof19:if
thesequencenumberisprime,thenumberofversesis
non-prime,orviceversa ................................................. 212
Non-homogeneoussurahswithinthesecondgroupof19:if
thesequencenumberisprime,thenumberofversesis
non-prime,orviceversa ................................................. 213
Non-homogeneoussurahswithinthethirdgroupof19:if
thesequencenumberisprime,thenumberofversesis
non-prime,orviceversa ................................................. 214
Non-homogeneoussurahswithinthefourthgroupof19:if
thesequencenumberisprime,thenumberofversesis
non-prime,orviceversa ................................................. 215
Non-homogeneoussurahswithinthefifthgroupof19:if
thesequencenumberisprime,thenumberofversesis
non-prime,orviceversa ................................................. 217
Non-homogeneoussurahswithinthesixthgroupof19:if
thesequencenumberisprime,thenumberofversesis
non-prime,orviceversa ................................................. 218
CountingbackwardsfromthelastCountingbackwardsfromthelastCountingbackwardsfromthelastCountingbackwardsfromthelastsurahsurahsurahsurahintheKoranintheKoranintheKoranintheKoran ...... 225
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Surahsforwhichthedifferencebetweenthebackwards
sequencenumberandthenumberofversesisapositive
integer............................................................................. 228
Surahsforwhichthedifferencebetweenthebackwardssequencenumberandthenumberofversesisapositive
oddinteger...................................................................... 232
Surahsforwhichthedifferencebetweenthebackwards
sequencenumberandthenumberofversesisapositive
eveninteger..................................................................... 234
Surahsforwhichthedifferencebetweenthebackwards
sequencenumberandthenumberofversesisapositive
integer,andthebackwardsequencenumberisodd...... 238
Surahsforwhichthedifferencebetweenthebackwards
sequencenumberandthenumberofversesisapositive
integer,andthebackwardsequencenumberiseven.... 240
Surahs for which the difference between the
backwards sequence number and the number of
verses is a positive odd integer, the backwards
sequence number is odd, and the number of verses
is even..................................................................... 244
Surahs for which the difference between thebackwards sequence number and the number of
verses is a positive odd integer, the backwards
sequence number is even, and the number of verses
is odd...................................................................... 245
Surahs for which the difference between the
backwards sequence number and the number of
verses is a positive even integer, the backwards
sequence number is odd, and the number of verses
is odd...................................................................... 247
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Surahs for which the difference between the
backwards sequence numbers and the number of
verses is a positive even integer, the backwards
sequence number is even and the number of verses
is even..................................................................... 248Surahs for which the difference between the
backwards sequence numbers and the number of
verses is a positive integer, the backwards sequence
number is odd and the number of verses is odd... 251
Surahs for which the difference between the
backwards sequence numbers and the number of
verses is a positive integer, the backwards sequence
number is odd and the number of verses is even.. 252
Surahs for which the difference between the
backwards sequence numbers and the number of
verses is a positive integer, the backwards sequencenumber is even and the number of verses is even 254
Surahs for which the difference between the
backwards sequence numbers and the number of
verses is a positive integer, the backwards sequence
number is even and the number of verses is odd.. 255
Surahsforwhichthedifferencebetweenthebackwards
sequencenumbersandthenumberofversesisanegative
integer............................................................................. 259
Surahsforwhichthedifferencebetweenthebackwardssequencenumbersandthenumberofversesisanegative
oddinteger...................................................................... 261
Surahsforwhichthedifferencebetweenthebackwards
sequencenumbersandthenumberofversesisanegative
eveninteger..................................................................... 262
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Contents
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Surahsforwhichthedifferencebetweenthebackwards
sequencenumbersandthenumberofversesarenegative
integersandthebackwardsequencenumbersareodd.. 265
Surahsforwhichthedifferencebetweenthebackwardssequencenumbersandthenumberofversesarenegative
integersandthebackwardsequencenumbersareeven. 266
Surahs for which the difference between the
backwards sequence numbers and the number of
verses is a negative odd integer, the backwards
sequence number is odd and the number of verses is
even ........................................................................ 269
Surahs for which the difference between the
backwards sequence numbers and the number of
verses is a negativeodd integer, the backwardssequence number is even and the number of verses
is odd...................................................................... 270
Surahs for which the difference between the
backwards sequence numbers and the number of
verses is a negativeeven integer, the backwardssequence number is odd and the number of verses is
odd.......................................................................... 271
Surahs for which the difference between the
backwards sequence numbers and the number of
verses is a negativeeven integer, the backwardssequence number is even and the number of verses
is even..................................................................... 272
Surahs for which the difference between the
backwards sequence numbers and the number of
verses is a negativeinteger, the backwards sequencenumber is odd and the number of verses is odd... 275
Surahs for which the difference between the
backwards sequence numbers and the number of
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verses is a negativeinteger, the backwards sequencenumber is odd and the number of verses is even.. 276
Surahs for which the difference between the
backwards sequence numbers and the number of
verses is a negativeinteger, the backwards sequencenumber is even and the number of verses is even 277Surahs for which the difference between the
backwards sequence numbers and the number of
verses is a negativeinteger, the backwards sequencenumber is even and the number of verses is odd.. 278
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IndexofIndexofIndexofIndexofttttheHolyheHolyheHolyheHolyQurnQurnQurnQurn
IntheindexoftheHolyQurneachsurah(chapter)is
definedwithtwonumbers. One ofthemis the sequencenumberwhichshows theplaceofthesurahintheserialization.The otherone is the number which specifies the number of verses (ayats)containedinthesurah.1
Example:
1 Al Ftia 7
There are 114 surahs included in the Holy Qurn.Consequently there are 114 sequence numbers and 114 ayatnumbers which correspond to such sequence numbers in theindex:
No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyatXX
No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat
1 Al Ftia 7 58 Al Mujdalah 222 Al Baqarah 286 59 Al ashr 243 lImrn 200 60 Al Mumtainah 134 Al Nis 176 61 Al aff 145 Al Midah 120 62 Al Jumuah 116 Al Enm 165 63 Al Munfiqn 117 Al Arf 206 64 Al Taghbun 188 Al Anfl 75 65 Al alq 129 Al Tawbah 129 66 Al Tarm 12
10 Ynus 109 67 Al Mulk 30
1 Itshouldbenotedthat insomeoftheindexesoftheHolyQur'nthereareprinting
presserrorsconcerningthenumbersofayat.Ourreaderswhoshallwishtoverifytheapproachesthatwehavegiveninthisbookshouldbeforeallelsereviewandemendatetheindexestheyareusingwithrespecttothenumberofayatsinthesurahs.
Thenumber
ofayatsThesequence
number
Thenameofthe
chapter(surah)
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11 Hd 123 68 Al Qalam 5212 Ysuf 111 69 Al qqah 5213 Al Rad 43 70 Al Marij 4414 Ibrhm 52 71 N 2815 Al ijr 99 72 Al Jinn 2816 Al Nal 128 73 Al Muzzammil 2017 Al Isr 111 74 Al Muddaththir 5618 Al Kahf 110 75 Al Qiymah 4019 Maryam 98 76 Al Insn 3120 h 135 77 Al Mursalt 5021 Al Anbiy 112 78 Al Naba 4022 Al ajj 78 79 Al Nzit 4623 Al Muminn 118 80 Abasa 4224 Al Nr 64 81 Al Takwr 2925 Al Furqn 77 82 Al Infir 1926 Al Shuar 227 83 Al Muaffifn 3627 Al Naml 93 84 Al Inshiqq 2528 Al Qaa 88 85 Al Burj 2229 Al Ankabt 69 86 Al riq 1730 Al Rm 60 87 Al Al 1931 Luqmn 34 88 Al Ghshiyah 2632 Al Sajdah 30 89 Al Fajr 3033 Al Azb 73 90 Al Balad 2034 Saba 54 91 Al Shams 1535 Fir 45 92 Al Layl 2136 Ysn 83 93 Al ua 1137 Al afft 182 94 Al Inshir 8
38 d 88 95 Al Tn 839 Al Zumar 75 96 Al Alaq 1940 Al Mumin 85 97 Al Qadr 541 Fuilat 54 98 Al Bayyinah 842 Al Shr 53 99 Al Zilzl 843 Al Zukhruf 89 100 Al diyt 1144 Al Dukhn 59 101 Al Qriah 1145 Al Jthiyah 37 102 Al Takthur 846 Al Aqf 35 103 Al Asr 347 Muammad 38 104 Al Humaza 9
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IndexoftheHolyQur'an
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48 Al Fat 29 105 Al Fl 549 Al ujurt 18 106 Quraysh 450 Qf 45 107 Al Mn 751 Al Dhriyt 60 108 Al Kawthar 352 Al r 49 109 Al Kfirn 653 Al Najm 62 110 Al Nar 354 Al Qamar 55 111 Tabbat 555 Al Ramn 78 112 Al Ikhl 456 Al Wqiah 96 113 Al Falaq 557 Al add 29 114 Al Ns 6
List-1Apparently, the ayat numbers of the surahs exhibit an
extraordinary appearance. It is not possible to understandintuitivelythatthereis aconnectionbetween them atfirst sight,because they are in an arrangement which is as dispersed as
possible.
Thisbookanalysestheserializationofthesurahsandthenumbers of ayats which are included in the Holy Qurn bynumericmethods.Hence,thelistabovewillbesubjecttodifferentmathematicalapproachesineachsectionofthisstudy.
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ModularApproachModularApproachModularApproachModularApproach
In this section, we will discuss both the sequence
numbers and the number of verses with a modularapproach.Giventwonumbers, a(thedividend)andn(the
divisor),amodulon(amodn)istheremainder,ondivision
ofabyn.
Example:
For100,
Letuscompute100mod3,5and8respectively:
Letusdivide100bythree.100/3=3*33+1
Astheremainderis1,100mod3wouldevaluateto
1.
Letusdivide100byfive.100/5=5*20+0
Astheremainderis0,100mod5wouldevaluateto
0.
Letusdivide100byeight.100/8=8*12+4
Astheremainderis4,100mod8wouldevaluateto
4.
Mod2Mod2Mod2Mod21111
Mod3Mod3Mod3Mod3
1 See Odd and Even Numbers (Binary Symmetric Book 1)
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ModularApproach
23
Letusevaluatetheexpression,Koranindexmod3.
All the numbers mod 3 equivalentswill be replaced by the
original figures.(Does this mean to say The mod 3
equivalents of all the numbers will replace the originalfigures????) All the computations in this section will be
performedasmodulo3operations.
KoranindexMod3KoranindexMod3KoranindexMod3KoranindexMod3
No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat
1 Al-Ftia 1 1 Al-Mujdalah 12 Al-Baqarah 1 2 Al-ashr 0
0 l Imrn 2 0Al-
Mumtainah1
1 Al-Nis 2 1 Al-aff 2
2 Al-Midah 0 2 Al-Jumuah 2
0 Al-Enm 0 0 Al-Munfiqn 2
1 Al-Arf 2 1 Al-Taghbun 0
2 Al-Anfl 0 2 Al-alq 0
0 Al-Tawbah 0 0 Al-Tarm 0
1 Ynus 1 1 Al-Mulk 0
2 Hd 0 2 Al-Qalam 1
0 Ysuf 0 0 Al-qqah 1
1 Al-Rad 1 1 Al-Marij 2
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2 Ibrhm 1 2 N 1
0 Al-ijr 0 0 Al-Jinn 1
1 Al-Nal 2 1
Al-
Muzzammil 2
2 Al-Isr 0 2Al-
Muddaththir2
0 Al-Kahf 2 0 Al-Qiymah 1
1 Maryam 2 1 Al-Insn 1
2 h 0 2 Al-Mursalt 2
0 Al-Anbiy 1 0 Al-Naba 1
1 Al-ajj 0 1 Al-Nzit 1
2 Al-Muminn 1 2 Abasa 0
0 Al-Nr 1 0 Al-Takwr 2
1 Al-Furqn 2 1 Al-Infir 1
2 Al-Shuar 2 2 Al-Muaffifn 0
0 Al-Naml 0 0 Al-Inshiqq 1
1 Al-Qaa 1 1 Al-Burj 1
2 Al-Ankabt 0 2 Al-riq 2
0 Al-Rm 0 0 Al-Al 1
1 Luqmn 1 1 Al-Ghshiyah 2
2 Al-Sajdah 0 2 Al-Fajr 0
0 Al-Azb 1 0 Al-Balad 2
1 Saba 0 1 Al-Shams 0
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ModularApproach
25
2 Fir 0 2 Al-Layl 0
0 Ysn 2 0 Al-ua 2
1 Al-afft 2 1 Al-Inshir 2
2 d 1 2 Al-Tn 2
0 Al-Zumar 0 0 Al-Alaq 1
1 Al-Mumin 1 1 Al-Qadr 2
2 Fuilat 0 2 Al-Bayyinah 2
0 Al-Shr 2 0 Al-Zilzl 2
1 Al-Zukhruf 2 1 Al-diyt 2
2 Al-Dukhn 2 2 Al-Qriah 2
0 Al-Jthiyah 1 0 Al-Takthur 2
1 Al-Aqf 2 1 Al-Asr 0
2 Muammad 2 2 Al-Humaza 0
0 Al-Fat 2 0 Al-Fl 2
1 Al-ujurt 0 1 Quraysh 1
2 Qf 0 2 Al-Mn 1
0 Al-Dhriyt 0 0 Al-Kawthar 0
1 Al-r 1 1 Al-Kfirn 0
2 Al-Najm 2 2 Al-Nar 0
0 Al-Qamar 1 0 Tabbat 2
1 Al-Ramn 0 1 Al-Ikhl 1
2 Al-Wqiah 0 2 Al-Falaq 2
0 Al-add 2 0 Al-Ns 0
List-2
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BinarySymmetricBook
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NumberofversesinthefirstpartofKoranMod3NumberofversesinthefirstpartofKoranMod3NumberofversesinthefirstpartofKoranMod3NumberofversesinthefirstpartofKoranMod3
SurahSurahSurahSurah AyatAyatAyatAyat SurahSurahSurahSurah AyatAyatAyatAyat
Al-Ftia 1 Al-Rm 0
Al-Baqarah 1 Luqmn 1
l Imrn 2 Al-Sajdah 0
Al-Nis 2 Al-Azb 1
Al-Midah 0 Saba 0
Al-Enm 0 Fir 0Al-Arf 2 Ysn 2
Al-Anfl 0 Al-afft 2
Al-Tawbah 0 d 1
Ynus 1 Al-Zumar 0
Hd 0 Al-Mumin 1
Ysuf 0 Fuilat 0
Al-Rad 1 Al-Shr 2Ibrhm 1 Al-Zukhruf 2
Al-ijr 0 Al-Dukhn 2
Al-Nal 2 Al-Jthiyah 1
Al-Isr 0 Al-Aqf 2
Al-Kahf 2 Muammad 2
Maryam 2 Al-Fat 2
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h 0 Al-ujurt 0
Al-Anbiy 1 Qf 0
Al-ajj 0 Al-Dhriyt 0
Al-Muminn 1 Al-r 1
Al-Nr 1 Al-Najm 2
Al-Furqn 2 Al-Qamar 1
Al-Shuar 2 Al-Ramn 0
Al-Naml 0 Al-Wqiah 0
Al-Qaa 1 Al-add 2
Al-Ankabt 0
List-3Sumofthenumberofversesinthislist:
1+1+2+2+0+0+2+0+0+1+0+0+1
+1+0+2+0+2+2+0+1+0+1+1+2+2+0
+1+0+0+1+0+1+0+0+2+2+1+0+1+0
+2+2+2+1+2+2+2+0+0+0+1+2+1+0
+0+2=1111
NumberofversesinthesecondpartofKoranMod3NumberofversesinthesecondpartofKoranMod3NumberofversesinthesecondpartofKoranMod3NumberofversesinthesecondpartofKoranMod3
SurahSurahSurahSurah AyatAyatAyatAyat SurahSurahSurahSurah AyatAyatAyatAyat
Al-Mujdalah 1 Al-Al 1
Al-ashr 0 Al-Ghshiyah 2
Al-Mumtainah 1 Al-Fajr 0
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Al-aff 2 Al-Balad 2
Al-Jumuah 2 Al-Shams 0
Al-Munfiqn 2 Al-Layl 0
Al-Taghbun 0 Al-ua 2
Al-alq 0 Al-Inshir 2
Al-Tarm 0 Al-Tn 2
Al-Mulk 0 Al-Alaq 1
Al-Qalam 1 Al-Qadr 2
Al-qqah 1 Al-Bayyinah 2
Al-Marij 2 Al-Zilzl 2
N 1 Al-diyt 2
Al-Jinn 1 Al-Qriah 2
Al-Muzzammil 2 Al-Takthur 2
Al-Muddaththir 2 Al-Asr 0
Al-Qiymah 1 Al-Humaza 0
Al-Insn 1 Al-Fl 2
Al-Mursalt 2 Quraysh 1
Al-Naba 1 Al-Mn 1
Al-Nzit 1 Al-Kawthar 0
Abasa 0 Al-Kfirn 0
Al-Takwr 2 Al-Nar 0
Al-Infir 1 Tabbat 2
Al-Muaffifn 0 Al-Ikhl 1
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Al-Inshiqq 1 Al-Falaq 2
Al-Burj 1 Al-Ns 0
Al-riq 2
List-4Sumofthenumberofversesinthislist:
1+0+1+2+2+2+0+0+0+0+1+1+2
+1+1+2+2+1+1+2+1+1+0+2+1+0+1
+1+2+1+2+0+2+0+0+2+2+2+1+2+2
+2+2+2+2+0+0+2+1+1+0+0+0+2+1
+2+0=1111
EvaluationEvaluationEvaluationEvaluation
The number of verses in the first part of the Koran Mod 3 is equal tothe number of verses in the second part of the Koran Mod 3.
Figure-1 equality of Number of verses in the first part of Koran Mod 3 with Number ofverses in the second part of Koran Mod 3
2
1 1
Thetotalnumberof
verseswhichare
includedinthefirst
halfoftheHoly
Qur'n
Thetotalnumberof
verseswhichare
includedinthe
secondhalfofthe
HolyQur'n
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SequencenumbersinthSequencenumbersinthSequencenumbersinthSequencenumbersinthefirstpartofKoranMod3efirstpartofKoranMod3efirstpartofKoranMod3efirstpartofKoranMod3
No.No.No.No. SurahSurahSurahSurah No.No.No.No. SurahSurahSurahSurah
1 Al-Ftia 0 Al-Rm
2 Al-Baqarah 1 Luqmn
0 l Imrn 2 Al-Sajdah
1 Al-Nis 0 Al-Azb
2 Al-Midah 1 Saba
0 Al-Enm 2 Fir
1 Al-Arf 0 Ysn
2 Al-Anfl 1 Al-afft
0 Al-Tawbah 2 d
1 Ynus 0 Al-Zumar
2 Hd 1 Al-Mumin
0 Ysuf 2 Fuilat
1 Al-Rad 0 Al-Shr
2 Ibrhm 1 Al-Zukhruf0 Al-ijr 2 Al-Dukhn
1 Al-Nal 0 Al-Jthiyah
2 Al-Isr 1 Al-Aqf
0 Al-Kahf 2 Muammad
1 Maryam 0 Al-Fat
2 h 1 Al-ujurt
Thetotalnumberof
verses
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ModularApproach
31
0 Al-Anbiy 2 Qf
1 Al-ajj 0 Al-Dhriyt
2 Al-Muminn 1 Al-r
0 Al-Nr 2 Al-Najm
1 Al-Furqn 0 Al-Qamar
2 Al-Shuar 1 Al-Ramn
0 Al-Naml 2 Al-Wqiah
1 Al-Qaa 0 Al-add
2 Al-Ankabt
List-5
SumoftheSequencenumbersinthislist:1+2+0+1+2+0+1+2+0+1+2+0+1
+2+0+1+2+0+1+2+0+1+2+0+1+2+0
+1+2+0+1+2+0+1+2+0+1+2+0+1+2
+0+1+2+0+1+2+0+1+2+0+1+2+0+1
+2+0=0000
SequencenumbersinSequencenumbersinSequencenumbersinSequencenumbersinthethethethesecondsecondsecondsecondpartofKoranMod3partofKoranMod3partofKoranMod3partofKoranMod3
No.No.No.No. SurahSurahSurahSurah No.No.No.No. SurahSurahSurahSurah
1 Al-Mujdalah 0 Al-Al
2 Al-ashr 1 Al-Ghshiyah
0 Al-Mumtainah 2 Al-Fajr
1 Al-aff 0 Al-Balad
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2 Al-Jumuah 1 Al-Shams
0 Al-Munfiqn 2 Al-Layl
1 Al-Taghbun 0 Al-ua
2 Al-alq 1 Al-Inshir
0 Al-Tarm 2 Al-Tn
1 Al-Mulk 0 Al-Alaq
2 Al-Qalam 1 Al-Qadr
0 Al-qqah 2 Al-Bayyinah
1 Al-Marij 0 Al-Zilzl
2 N 1 Al-diyt
0 Al-Jinn 2 Al-Qriah
1 Al-Muzzammil 0 Al-Takthur
2 Al-Muddaththir 1 Al-Asr
0 Al-Qiymah 2 Al-Humaza
1 Al-Insn 0 Al-Fl
2 Al-Mursalt 1 Quraysh
0 Al-Naba 2 Al-Mn
1 Al-Nzit 0 Al-Kawthar
2 Abasa 1 Al-Kfirn
0 Al-Takwr 2 Al-Nar
1 Al-Infir 0 Tabbat
2 Al-Muaffifn 1 Al-Ikhl
0 Al-Inshiqq 2 Al-Falaq
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ModularApproach
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1 Al-Burj 0 Al-Ns
2 Al-riq
List-6
SumoftheSequencenumbersinthislist:1+2+0+1+2+0+1+2+0+1+2+0+1
+2+0+1+2+0+1+2+0+1+2+0+1+2+0
+1+2+0+1+2+0+1+2+0+1+2+0+1+2
+0+1+2+0+1+2+0+1+2+0+1+2+0+1
+2+0=0000
EvaluationEvaluationEvaluationEvaluation
The sequence numbers in the first part of the Koran Mod 3 is equal to
the sequence numbers (?) in the second part of the Koran Mod 3.
Figure-2 equality of Sequence numbers in the first part of Koran Mod 3 with Number of
verses in the second part of Koran Mod 3
0
0 0
ThetotalofSequence
numbers
ThetotalofSequencenumbers
whichareincluded
inthefirsthalfof
theHolyQur'n
ThetotalofSequencenumberswhichare
includedinthe
secondhalfofthe
HolyQur'n
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1 A l - F t i a 72 A l - B a q a r a h 2863 l I m r n 2004 A l - N i s 176
5 A l - M i d a h 1206 A l - E n m 1657 A l - A r f 2068 A l - A n f l 759 A l - T a w b a h 12910 Y n u s 10911 H d 12312 Y s u f 11113 A l - R a d 4314
I b r h m52
15 A l - i j r 9916 A l - N a l 12817 A l - I s r 11118 A l - K a h f 110
19 M a r y a m 9820 h 13521 A l - A n b i y 11222 A l - a j j 7823 A l - M u m i n n 11824 A l - N r 6425 A l - F u r q n 7726 A l - S h u a r 22727 A l - N a m l 9328 A l - Q a a 8829 A l - A n k a b t 6930 A l - R m 6031 L u q m n 3432 A l - S a j d a h 3033 A l - A z b 7334 S a b a 5435 F i r 4536 Y s n 8337 A l - a f f t 18238 d 8839 A l - Z u m a r 7540 A l - M u m i n 8541 F u i l a t 5442 A l - S h r 5343 A l - Z u k h r u f 8944 A l - D u k h n 5945 A l - J t h i y a h 3746 A l - A q f 3547 M u a m m a d 3848
A l - F a t 29
49 A l - u j u r t 1850 Q f 4551 A l - D h r i y t 6052 A l - r 4953 A l - N a j m 6254 A l - Q a m a r 5555 A l - R a m n 7856 A l - W q i a h 96
A l - a d d
58 A l - M u j d a l a h 2259 A l - a s h r 2460 A l - M u m t a i n a h 1361 A l - a f f 14
62 A l - J u m u a h 1163 A l - M u n f i q n 1164 A l - T a g h b u n 1865 A l - a l q 1266 A l - T a r m 1267 A l - M u l k 3068 A l - Q a l a m 5269 A l - q q a h 5270 A l - M a r i j 4471 N 2872 A l - J i n n 2873 A l - M u z z a m m i l 2074 A l - M u d d a t h t h i r 56
75 A l - Q i y m a h 4076 A l - I n s n 31
77 A l - M u r s a l t 5078 A l - N a b a 4079 A l - N z i t 4680 A b a s a 4281
A l - T a k w r29
82 A l - I n f i r 1983 A l - M u a f f i f n 3684 A l - I n s h i q q 2585 A l - B u r j 2286 A l - r i q 1787 A l - A l 1988 A l - G h s h i y a h 2689 A l - F a j r 3090 A l - B a l a d 2091 A l - S h a m s 1592 A l - L a y l 2193 A l - u a 1194 A l - I n s h i r 895 A l - T n 896 A l - A l a q 1997 A l - Q a d r 598 A l - B a y y i n a h 899 A l - Z i l z l 8100 A l - d i y t 11101 A l - Q r i a h 11102 A l - T a k t h u r 8103 A l - A s r 3104 A l - H u m a z a 9105 Al-Fl 5106 Q u r a y s h 4107 A l - M n 7108 A l - K a w t h a r 3109 A l - K f i r n 6110 A l - N a r 3111 T a b b a t 5112 A l - I k h l 4113 A l - F a l a q 5114 A l - N s 6
2 2
0 0
0 2
1 1
1 0
2 0
2 1
0 0
0 2
1 1
1 0
2 0
2 2
0 2
0 2
1 2
1 2
2 2
2 2
0 1
0 2
1 2
1 0
2 0
2 0
0 2
0 1
1 2
1 1
2 2
2 0
0 1
0 2
1 1
1 1
2 0
2 2
0 1
0 1
1 1
1 2
2 2
2 1
0 1
0 1
1 2
1 0
2 1
2 0
0 0
0 2
1 0
1 2
2 2
2 0
0 1
0 2
1 1
1 0
2 0
2 2
0 1
0 0
1 1
1 0
2 0
2 2
0 2
0 1
1 2
1 2
2 2
2 0
0 2
0 0
1 1
1 2
2 1
2 0
0 2
0 1
1 0
1 1
2 0
2 0
0 0
0 0
1 1
1 2
2 2
2 1
0 1
0 1
1 0
1 2
2 0
2 0
0 2
0 0
1 2
1 1
2 1
2 0
0 0
0 0
1 1
1 2
2 0
2 0
0 0
NUMBER OF VERSES MOD 3
Inthefigure,equaldistributionofthenumberofversesMod3andthesequencenumbers
Mod3tothefirstandsecondhalfoftheQur'anisshown.
1 1
2 1
0 2
1 2
NO. SURAH Ayat SEQUENCE NUMBERS MOD 3
ax
i
s
o
f
sym
me
try
a x i s o f s y m m e t r y a x i s o f s y m m e t r y
0
0
1
1
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ModularApproach
35
NumberofversesoftheNumberofversesoftheNumberofversesoftheNumberofversesofthesurahssurahssurahssurahsMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluateto0000
SurahSurahSurahSurah AyatAyatAyatAyat SurahSurahSurahSurah AyatAyatAyatAyat
Al-Midah 0 Al-Dhriyt 0
Al-Enm 0 Al-Ramn 0
Al-Anfl 0 Al-Wqiah 0
Al-Tawbah 0 Al-ashr 0
Hd 0 Al-Taghbun 0Ysuf 0 Al-alq 0
Al-ijr 0 Al-Tarm 0
Al-Isr 0 Al-Mulk 0
h 0 Abasa 0
Al-ajj 0 Al-Muaffifn 0
Al-Naml 0 Al-Fajr 0
Al-Ankabt 0 Al-Shams 0Al-Rm 0 Al-Layl 0
Al-Sajdah 0 Al-Asr 0
Saba 0 Al-Humaza 0
Fir 0 Al-Kawthar 0
Al-Zumar 0 Al-Kfirn 0
Fuilat 0 Al-Nar 0
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Al-ujurt 0 Al-Ns 0
Qf 0
List-7
Thenumberofsurahsinthislistis39393939.39Mod3wouldevaluateto0000.
EvaluationEvaluationEvaluationEvaluation
The number of surahs for which the number of verses = 0, is 0!
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ModularApproach
37
1 A l - F t i a 72 A l - B a q a r a h 2863 l I m r n 2004 A l - N i s 1765 A l - M i d a h 1206 A l - E n m 1657 A l - A r f 2068 A l - A n f l 759 A l - T a w b a h 12910 Y n u s 10911 H d 12312 Y s u f 11113 A l - R a d 43
14 I b r h m 5215 A l - i j r 9916 A l - N a l 12817 A l - I s r 11118 A l - K a h f 11019 M a r y a m 9820 h 13521 A l - A n b i y 11222 A l - a j j 7823 A l - M u m i n n 11824 A l - N r 6425 A l - F u r q n 7726 A l - S h u a r 22727 A l - N a m l 9328 A l - Q a a 8829 A l - A n k a b t 6930 A l - R m 6031 L u q m n 3432 A l - S a j d a h 3033 A l - A z b 7334 S a b a 5435 F i r 4536 Y s n 8337 A l - a f f t 18238 d 8839 A l - Z u m a r 7540 A l - M u m i n 8541 F u i l a t 5442 A l - S h r 5343 A l - Z u k h r u f 8944 A l - D u k h n 5945 A l - J t h i y a h 3746 A l - A q f 3547 M u a m m a d 38
48 A l - F a t 2949 A l - u j u r t 1850 Q f 4551 A l - D h r i y t 6052 A l - r 4953 A l - N a j m 6254 A l - Q a m a r 5555 A l - R a m n 7856 A l - W q i a h 9657 A l - a d d 2958 A l - M u j d a l a h 2259 A l - a s h r 2460 A l - M u m t a i n a h 1361 A l - a f f 1462 A l - J u m u a h 1163 A l - M u n f i q n 1164 A l - T a g h b u n 1865 A l - a l q 1266 A l - T a r m 1267 A l - M u l k 3068 A l - Q a l a m 5269 A l - q q a h 5270 A l - M a r i j 4471 N 2872 A l - J i n n 2873 A l - M u z z a m m i l 2074 l - M u d d a t h t h i r 5675 A l - Q i y m a h 4076 A l - I n s n 3177 A l - M u r s a l t 5078 A l - N a b a 4079 A l - N z i t 4680 A b a s a 4281 A l - T a k w r 29
82 A l - I n f i r 1983 A l - M u a f f i f n 3684 A l - I n s h i q q 2585 A l - B u r j 2286 A l - r i q 1787 A l - A l 1988 A l - G h s h i y a h 2689 A l - F a j r 3090 A l - B a l a d 2091 A l - S h a m s 1592 A l - L a y l 2193 A l - u a 1194 A l - I n s h i r 895 A l - T n 896 A l - A l a q 1997 A l - Q a d r 598 A l - B a y y i n a h 899 A l - Z i l z l 8100 A l - d i y t 11101 A l - Q r i a h 11102 A l - T a k t h u r 8103 A l - A s r 3104 A l - H u m a z a 9105 Al-Fl 5106 Q u r a y s h 4107 A l - M n 7108 A l - K a w t h a r 3109 A l - K f i r n 6110 A l - N a r 3111 T a b b a t 5112 A l - I k h l 4113 A l - F a l a q 5114 A l - N s 6
Figure:Numberofsurahsofwhichthenumber
ofverses=
0,
is0
2
0 X
2
1
0 X
0 X
1
0 X
2
1
0 X
0 X
2
2
2
2
2
2
2
1
2
2
0 X
0 X
0 X
2
1
2
1
2
0 X
1
2
1
1
0 X
2
1
1
1
2
2
1
1
1
2
0 X
1
0 X
0 X
2
0 X
2
2
0 X
1
2
1
0 X
0 X
2
1
0 X
1
0 X
0 X
2
2
1
2
2
2
0 X
2
0 X
1
2
1
0 X
2
1
0 X
1
0 X
0 X
0 X
0 X
1
2
2
1
1
1
0 X
2
0 X
0 X
2
0 X
2
1
1
0 X
0 X
0 X
1
2
0 X
0 X
0 X
Number of verses Mod 3 which evaluate to ZERO1
1
2
2
NO. SURAH Ayat Number of
verses Mod 3
0
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NumbeNumbeNumbeNumberofversesoftherofversesoftherofversesoftherofversesofthesurahssurahssurahssurahsMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluateto1111
SurahSurahSurahSurah AyatAyatAyatAyat SurahSurahSurahSurah AyatAyatAyatAyat
Al-Ftia 1 Al-Mumtainah 1
Al-Baqarah 1 Al-Qalam 1
Ynus 1 Al-qqah 1
Al-Rad 1 N 1
Ibrhm 1 Al-Jinn 1
Al-Anbiy 1 Al-Qiymah 1Al-Muminn 1 Al-Insn 1
Al-Nr 1 Al-Naba 1
Al-Qaa 1 Al-Nzit 1
Luqmn 1 Al-Infir 1
Al-Azb 1 Al-Inshiqq 1
d 1 Al-Burj 1
Al-Mumin 1 Al-Al 1
Al-Jthiyah 1 Al-Alaq 1
Al-r 1 Quraysh 1
Al-Qamar 1 Al-Mn 1
Al-Mujdalah 1 Al-Ikhl 1
List-8
Thenumberofsurahsinthislistis34343434.
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ModularApproach
39
34Mod3wouldevaluateto1111.
EvaluationEvaluationEvaluationEvaluation
The number of surahs for which the number of verses = 1111, is 1111!
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1 A l - F t i a 72 A l - B a q a r a h 2863 l I m r n 2004 A l - N i s 1765 A l - M i d a h 1206 A l - E n m 1657 A l - A r f 2068 A l - A n f l 759 A l - T a w b a h 12910 Y n u s 10911 H d 12312 Y s u f 11113 A l - R a d 43
14 I b r h m 5215 A l - i j r 9916 A l - N a l 12817 A l - I s r 11118 A l - K a h f 11019 M a r y a m 9820 h 13521 A l - A n b i y 11222 A l - a j j 7823 A l - M u m i n n 11824 A l - N r 6425 A l - F u r q n 7726 A l - S h u a r 22727 A l - N a m l 9328 A l - Q a a 8829 A l - A n k a b t 6930 A l - R m 6031 L u q m n 3432 A l - S a j d a h 3033 A l - A z b 7334 S a b a 5435 F i r 4536 Y s n 8337 A l - a f f t 18238 d 8839 A l - Z u m a r 7540 A l - M u m i n 8541 F u i l a t 5442 A l - S h r 5343 A l - Z u k h r u f 8944 A l - D u k h n 5945 A l - J t h i y a h 3746 A l - A q f 3547 M u a m m a d 38
48 A l - F a t 2949 A l - u j u r t 1850 Q f 4551 A l - D h r i y t 6052 A l - r 4953 A l - N a j m 6254 A l - Q a m a r 5555 A l - R a m n 7856 A l - W q i a h 9657 A l - a d d 2958 A l - M u j d a l a h 2259 A l - a s h r 2460 A l - M u m t a i n a h 1361 A l - a f f 1462 A l - J u m u a h 1163 A l - M u n f i q n 1164 A l - T a g h b u n 1865 A l - a l q 1266 A l - T a r m 1267 A l - M u l k 3068 A l - Q a l a m 5269 A l - q q a h 5270 A l - M a r i j 4471 N 2872 A l - J i n n 2873 A l - M u z z a m m i l 2074 l - M u d d a t h t h i r 5675 A l - Q i y m a h 4076 A l - I n s n 3177 A l - M u r s a l t 5078 A l - N a b a 4079 A l - N z i t 4680 A b a s a 4281 A l - T a k w r 29
82 A l - I n f i r 1983 A l - M u a f f i f n 3684 A l - I n s h i q q 2585 A l - B u r j 2286 A l - r i q 1787 A l - A l 1988 A l - G h s h i y a h 2689 A l - F a j r 3090 A l - B a l a d 2091 A l - S h a m s 1592 A l - L a y l 2193 A l - u a 1194 A l - I n s h i r 895 A l - T n 896 A l - A l a q 1997 A l - Q a d r 598 A l - B a y y i n a h 899 A l - Z i l z l 8100 A l - d i y t 11101 A l - Q r i a h 11102 A l - T a k t h u r 8103 A l - A s r 3104 A l - H u m a z a 9105 Al-Fl 5106 Q u r a y s h 4107 A l - M n 7108 A l - K a w t h a r 3109 A l - K f i r n 6110 A l - N a r 3111 T a b b a t 5112 A l - I k h l 4113 A l - F a l a q 5114 A l - N s 6
Figure:Numberofsurahsofwhichthenumber
ofverses=1,
is1
2
0
2
1 X
0
0
1 X
0
2
1 X
0
0
2
2
2
2
2
2
2
1 X
2
2
0
0
0
2
1 X
2
1 X
2
0
1 X
2
1 X
1 X
0
2
1 X
1 X
1 X
2
2
1 X
1 X
1 X
2
0
1 X
0
0
2
0
2
2
0
1 X
2
1 X
0
0
2
1 X
0
1 X
0
0
2
2
1 X
2
2
2
0
2
0
1 X
2
1 X
0
2
1 X
0
1 X
0
0
0
0
1 X
2
2
1 X
1 X
1 X
0
2
0
0
2
0
2
1 X
1 X
0
0
0
1 X
2
0
0
0
2
2
NO. SURAH Ayat Number of
verses Mod 3Number of verses Mod 3 which evaluate to ONE
1 X
1 X
1
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ModularApproach
41
NumberofversesoftheNumberofversesoftheNumberofversesoftheNumberofversesofthesurahssurahssurahssurahsMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluateto2222
SurahSurahSurahSurah AyatAyatAyatAyat SurahSurahSurahSurah AyatAyatAyatAyat
l Imrn 2 Al-Marij 2
Al-Nis 2 Al-Muzzammil 2
Al-Arf 2 Al-Muddaththir 2
Al-Nal 2 Al-Mursalt 2Al-Kahf 2 Al-Takwr 2
Maryam 2 Al-riq 2
Al-Furqn 2 Al-Ghshiyah 2
Al-Shuar 2 Al-Balad 2
Ysn 2 Al-ua 2
Al-afft 2 Al-Inshir 2
Al-Shr 2 Al-Tn 2Al-Zukhruf 2 Al-Qadr 2
Al-Dukhn 2 Al-Bayyinah 2
Al-Aqf 2 Al-Zilzl 2
Muammad 2 Al-diyt 2
Al-Fat 2 Al-Qriah 2
Al-Najm 2 Al-Takthur 2
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Al-add 2 Al-Fl 2
Al-aff 2 Tabbat 2
Al-Jumuah 2 Al-Falaq 2
Al-Munfiqn 2
List-9
Thenumberofsurahsinthislistis41414141.
41Mod3wouldevaluateto2222.
EvaluationEvaluationEvaluationEvaluation
The number of surahs for which the number of verses = 2222, is 2222!
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ModularApproach
43
1 A l - F t i a 72 A l - B a q a r a h 2863 l I m r n 2004 A l - N i s 1765 A l - M i d a h 1206 A l - E n m 1657 A l - A r f 2068 A l - A n f l 759 A l - T a w b a h 12910 Y n u s 10911 H d 12312 Y s u f 11113 A l - R a d 43
14 I b r h m 5215 A l - i j r 9916 A l - N a l 12817 A l - I s r 11118 A l - K a h f 11019 M a r y a m 9820 h 13521 A l - A n b i y 11222 A l - a j j 7823 A l - M u m i n n 11824 A l - N r 6425 A l - F u r q n 7726 A l - S h u a r 22727 A l - N a m l 9328 A l - Q a a 8829 A l - A n k a b t 6930 A l - R m 6031 L u q m n 3432 A l - S a j d a h 3033 A l - A z b 7334 S a b a 5435 F i r 4536 Y s n 8337 A l - a f f t 18238 d 8839 A l - Z u m a r 7540 A l - M u m i n 8541 F u i l a t 5442 A l - S h r 5343 A l - Z u k h r u f 8944 A l - D u k h n 5945 A l - J t h i y a h 3746 A l - A q f 3547 M u a m m a d 38
48 A l - F a t 2949 A l - u j u r t 1850 Q f 4551 A l - D h r i y t 6052 A l - r 4953 A l - N a j m 6254 A l - Q a m a r 5555 A l - R a m n 7856 A l - W q i a h 9657 A l - a d d 2958 A l - M u j d a l a h 2259 A l - a s h r 2460 A l - M u m t a i n a h 1361 A l - a f f 1462 A l - J u m u a h 1163 A l - M u n f i q n 1164 A l - T a g h b u n 1865 A l - a l q 1266 A l - T a r m 1267 A l - M u l k 3068 A l - Q a l a m 5269 A l - q q a h 5270 A l - M a r i j 4471 N 2872 A l - J i n n 2873 A l - M u z z a m m i l 2074 l - M u d d a t h t h i r 5675 A l - Q i y m a h 4076 A l - I n s n 3177 A l - M u r s a l t 5078 A l - N a b a 4079 A l - N z i t 4680 A b a s a 4281 A l - T a k w r 29
82 A l - I n f i r 1983 A l - M u a f f i f n 3684 A l - I n s h i q q 2585 A l - B u r j 2286 A l - r i q 1787 A l - A l 1988 A l - G h s h i y a h 2689 A l - F a j r 3090 A l - B a l a d 2091 A l - S h a m s 1592 A l - L a y l 2193 A l - u a 1194 A l - I n s h i r 895 A l - T n 896 A l - A l a q 1997 A l - Q a d r 598 A l - B a y y i n a h 899 A l - Z i l z l 8100 A l - d i y t 11101 A l - Q r i a h 11102 A l - T a k t h u r 8103 A l - A s r 3104 A l - H u m a z a 9105 Al-Fl 5106 Q u r a y s h 4107 A l - M n 7108 A l - K a w t h a r 3109 A l - K f i r n 6110 A l - N a r 3111 T a b b a t 5112 A l - I k h l 4113 A l - F a l a q 5114 A l - N s 6 0
1
2 X
0
2 X
0
0
1
1
0
2 X
2 X
0
2 X
2 X
2 X
2 X
1
2 X
2 X
2 X
0
2 X
2 X
0
2 X
0
2 X
1
1
1
10
0
2 X
1
1
1
2 X
2 X
1
1
2 X
2 X
1
1
1
0
0
0
0
2 X
2 X
1
2 X
1
0
0
2 X
1
0
1
2 X
0
0
2 X0
2 X
2 X
2 X
1
2 X
2 X
1
0
1
0
2 X
2 X
0
0
0
1
0
1
1
0
2 X
0
1
2 X
0
1
0
1
2 X
2 X
2 X
0
10
0
1
1
0
0
0
0
2 X
2 X
0
1
2 X
NO. SURAH Ayat Number of
verses Mod 3Number of verses Mod 3 which evaluate to TWO
Figure:Numberofsurahsofwhichthenumber
ofverses=
2,
is2
1
2
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Sequencenumbers+numberofversesMod3Sequencenumbers+numberofversesMod3Sequencenumbers+numberofversesMod3Sequencenumbers+numberofversesMod3
Ayat +Ayat +Ayat +Ayat +
No.No.No.No.
Ayat +Ayat +Ayat +Ayat +
No.No.No.No.SurahSurahSurahSurah SurahSurahSurahSurah
Al-Ftia 2 Al-Mujdalah 2
Al-Baqarah 0 Al-ashr 2
l Imrn 2 Al-Mumtainah 1
Al-Nis 0 Al-aff 0
Al-Midah 2 Al-Jumuah 1
Al-Enm 0 Al-Munfiqn 2
Al-Arf 0 Al-Taghbun 1
Al-Anfl 2 Al-alq 2
Al-Tawbah 0 Al-Tarm 0
Ynus 2 Al-Mulk 1
Hd 2 Al-Qalam 0
Ysuf 0 Al-qqah 1
Al-Rad 2 Al-Marij 0
Ibrhm 0 N 0
Al-ijr 0 Al-Jinn 1
Al-Nal 0 Al-Muzzammil 0
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ModularApproach
45
Al-Isr 2 Al-Muddaththir 1
Al-Kahf 2 Al-Qiymah 1
Maryam 0 Al-Insn 2
h 2 Al-Mursalt 1
Al-Anbiy 1 Al-Naba 1
Al-ajj 1 Al-Nzit 2
Al-Muminn 0 Abasa 2
Al-Nr 1 Al-Takwr 2
Al-Furqn 0 Al-Infir 2
Al-Shuar 1 Al-Muaffifn 2
Al-Naml 0 Al-Inshiqq 1
Al-Qaa 2 Al-Burj 2
Al-Ankabt 2 Al-riq 1
Al-Rm 0 Al-Al 1
Luqmn 2 Al-Ghshiyah 0
Al-Sajdah 2 Al-Fajr 2
Al-Azb 1 Al-Balad 2
Saba 1 Al-Shams 1
Fir 2 Al-Layl 2
Ysn 2 Al-ua 2
Al-afft 0 Al-Inshir 0
d 0 Al-Tn 1
Al-Zumar 0 Al-Alaq 1
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Al-Mumin 2 Al-Qadr 0
Fuilat 2 Al-Bayyinah 1
Al-Shr 2 Al-Zilzl 2
Al-Zukhruf 0 Al-diyt 0
Al-Dukhn 1 Al-Qriah 1
Al-Jthiyah 1 Al-Takthur 2
Al-Aqf 0 Al-Asr 1
Muammad 1 Al-Humaza 2
Al-Fat 2 Al-Fl 2
Al-ujurt 1 Quraysh 2
Qf 2 Al-Mn 0
Al-Dhriyt 0 Al-Kawthar 0
Al-r 2 Al-Kfirn 1
Al-Najm 1 Al-Nar 2
Al-Qamar 1 Tabbat 2
Al-Ramn 1 Al-Ikhl 2
Al-Wqiah 2 Al-Falaq 1
Al-add 2 Al-Ns 0List-10
(sequencenumbers+(sequencenumbers+(sequencenumbers+(sequencenumbers+numberofverses)ofthenumberofverses)ofthenumberofverses)ofthenumberofverses)ofthesurahssurahssurahssurahsMod3whichevaluatetozeroMod3whichevaluatetozeroMod3whichevaluatetozeroMod3whichevaluatetozero
Ayat +Ayat +Ayat +Ayat + Ayat +Ayat +Ayat +Ayat +
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ModularApproach
47
SurahSurahSurahSurahNo.No.No.No.
SurahSurahSurahSurahNo.No.No.No.
Al-Baqarah 0 Al-Zukhruf 0
Al-Nis 0 Al-Aqf 0
Al-Enm 0 Al-Dhriyt 0
Al-Arf 0 Al-aff 0
Al-Tawbah 0 Al-Tarm 0
Ysuf 0 Al-Qalam 0
Ibrhm 0 Al-Marij 0
Al-ijr 0 N 0
Al-Nal 0 Al-Muzzammil 0
Maryam 0 Al-Ghshiyah 0
Al-Muminn 0 Al-Inshir 0
Al-Furqn 0 Al-Qadr 0
Al-Naml 0 Al-diyt 0
Al-Rm 0 Al-Mn 0
Al-afft 0 Al-Kawthar 0
d 0 Al-Ns 0
Al-Zumar 0
List-11
Thenumberofsurahsinthislistis33333333.
33Mod3wouldevaluateto0000.
EvaluationEvaluationEvaluationEvaluation
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BinarySymmetricBook
48
The total number of surahs for which the number of verses + sequencenumber = 0 is 0!
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ModularApproach
49
1 A l - F t i a 72 A l - B a q a r a h 2863 l I m r n 2004 A l - N i s 1765 A l - M i d a h 1206 A l - E n m 1657 A l - A r f 2068 A l - A n f l 759 A l - T a w b a h 12910 Y n u s 10911 H d 12312 Y s u f 11113 A l - R a d 43
14 I b r h m 5215 A l - i j r 9916 A l - N a l 12817 A l - I s r 11118 A l - K a h f 11019 M a r y a m 9820 h 13521 A l - A n b i y 11222 A l - a j j 7823 A l - M u m i n n 11824 A l - N r 6425 A l - F u r q n 7726 A l - S h u a r 22727 A l - N a m l 9328 A l - Q a a 8829 A l - A n k a b t 6930 A l - R m 6031 L u q m n 3432 A l - S a j d a h 3033 A l - A z b 7334 S a b a 5435 F i r 4536 Y s n 8337 A l - a f f t 18238 d 8839 A l - Z u m a r 7540 A l - M u m i n 8541 F u i l a t 5442 A l - S h r 5343 A l - Z u k h r u f 8944 A l - D u k h n 5945 A l - J t h i y a h 3746 A l - A q f 3547 M u a m m a d 38
48 A l - F a t 2949 A l - u j u r t 1850 Q f 4551 A l - D h r i y t 6052 A l - r 4953 A l - N a j m 6254 A l - Q a m a r 5555 A l - R a m n 7856 A l - W q i a h 9657 A l - a d d 2958 A l - M u j d a l a h 2259 A l - a s h r 2460 A l - M u m t a i n a h 1361 A l - a f f 1462 A l - J u m u a h 1163 A l - M u n f i q n 1164 A l - T a g h b u n 1865 A l - a l q 1266 A l - T a r m 1267 A l - M u l k 3068 A l - Q a l a m 5269 A l - q q a h 5270 A l - M a r i j 4471 N 2872 A l - J i n n 2873 A l - M u z z a m m i l 2074 l - M u d d a t h t h i r 5675 A l - Q i y m a h 4076 A l - I n s n 3177 A l - M u r s a l t 5078 A l - N a b a 4079 A l - N z i t 4680 A b a s a 4281 A l - T a k w r 29
82 A l - I n f i r 1983 A l - M u a f f i f n 3684 A l - I n s h i q q 2585 A l - B u r j 2286 A l - r i q 1787 A l - A l 1988 A l - G h s h i y a h 2689 A l - F a j r 3090 A l - B a l a d 2091 A l - S h a m s 1592 A l - L a y l 2193 A l - u a 1194 A l - I n s h i r 895 A l - T n 896 A l - A l a q 1997 A l - Q a d r 598 A l - B a y y i n a h 899 A l - Z i l z l 8100 A l - d i y t 11101 A l - Q r i a h 11102 A l - T a k t h u r 8103 A l - A s r 3104 A l - H u m a z a 9105 Al-Fl 5106 Q u r a y s h 4107 A l - M n 7108 A l - K a w t h a r 3109 A l - K f i r n 6110 A l - N a r 3111 T a b b a t 5112 A l - I k h l 4113 A l - F a l a q 5114 A l - N s 6 0 X
2
1
2
2
0 X
1
2
0 X
2
2
2
1
0 X
1
1
2
1
0 X
0 X
1
2
2
2
1
0 X
2
1
1
1
2
22
2
2
1
2
2
1
1
1
1
0 X
0 X
0 X
0 X
1
0 X
1
1
2
1
2
1
0 X
2
2
2
2
1
1
2
1
2
0 X
21
0 X
1
1
1
2
0 X
2
2
0 X
0 X
2
0 X
1
2
2
1
0 X
2
2
2
1
0 X
1
0 X
1
0 X
2
1
2
0 X
0 X
2
0 X0 X
0 X
2
2
2
2
0 X
0 X
0 X
Figure:Totalnumberofsurahsofwhichthenumberofverses+
sequencenumber=
0is0
2
0 X
2
0 X
2
NO. SURAH Ayat (NO + Ayat)
Mod 3(No + Ayat) Mod 3 which evaluate to ZERO
0
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BinarySymmetricBook
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(sequencenumbers+numberofverses)ofthe(sequencenumbers+numberofverses)ofthe(sequencenumbers+numberofverses)ofthe(sequencenumbers+numberofverses)ofthesurahssurahssurahssurahsMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluateto1111
Ayat +Ayat +Ayat +Ayat +
No.No.No.No.
Ayat +Ayat +Ayat +Ayat +
No.No.No.No.SurahSurahSurahSurah SurahSurahSurahSurah
Al-Anbiy 1 Al-qqah 1
Al-ajj 1 Al-Jinn 1
Al-Nr 1 Al-Muddaththir 1Al-Shuar 1 Al-Qiymah 1
Al-Azb 1 Al-Mursalt 1
Saba 1 Al-Naba 1
Al-Dukhn 1 Al-Inshiqq 1
Al-Jthiyah 1 Al-riq 1
Muammad 1 Al-Al 1
Al-ujurt 1 Al-Shams 1Al-Najm 1 Al-Tn 1
Al-Qamar 1 Al-Alaq 1
Al-Ramn 1 Al-Bayyinah 1
Al-Mumtainah 1 Al-Qriah 1
Al-Jumuah 1 Al-Asr 1
Al-Taghbun 1 Al-Kfirn 1
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ModularApproach
51
Al-Mulk 1 Al-Falaq 1
List-12
Thenumberofsurahsinthislistis34343434.
34Mod3wouldevaluateto1111.EvaluationEvaluationEvaluationEvaluation
The total number of surahs for which the number of verses + sequencenumber = 1 is 1!
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BinarySymmetricBook
52
1 A l - F t i a 72 A l - B a q a r a h 2863 l I m r n 2004 A l - N i s 1765 A l - M i d a h 1206 A l - E n m 1657 A l - A r f 2068 A l - A n f l 759 A l - T a w b a h 12910 Y n u s 10911 H d 12312 Y s u f 11113 A l - R a d 43
14 I b r h m 5215 A l - i j r 9916 A l - N a l 12817 A l - I s r 11118 A l - K a h f 11019 M a r y a m 9820 h 13521 A l - A n b i y 11222 A l - a j j 7823 A l - M u m i n n 11824 A l - N r 6425 A l - F u r q n 7726 A l - S h u a r 22727 A l - N a m l 9328 A l - Q a a 8829 A l - A n k a b t 6930 A l - R m 6031 L u q m n 3432 A l - S a j d a h 3033 A l - A z b 7334 S a b a 5435 F i r 4536 Y s n 8337 A l - a f f t 18238 d 8839 A l - Z u m a r 7540 A l - M u m i n 8541 F u i l a t 5442 A l - S h r 5343 A l - Z u k h r u f 8944 A l - D u k h n 5945 A l - J t h i y a h 3746 A l - A q f 3547 M u a m m a d 38
48 A l - F a t 2949 A l - u j u r t 1850 Q f 4551 A l - D h r i y t 6052 A l - r 4953 A l - N a j m 6254 A l - Q a m a r 5555 A l - R a m n 7856 A l - W q i a h 9657 A l - a d d 2958 A l - M u j d a l a h 2259 A l - a s h r 2460 A l - M u m t a i n a h 1361 A l - a f f 1462 A l - J u m u a h 1163 A l - M u n f i q n 1164 A l - T a g h b u n 1865 A l - a l q 1266 A l - T a r m 1267 A l - M u l k 3068 A l - Q a l a m 5269 A l - q q a h 5270 A l - M a r i j 4471 N 2872 A l - J i n n 2873 A l - M u z z a m m i l 2074 l - M u d d a t h t h i r 5675 A l - Q i y m a h 4076 A l - I n s n 3177 A l - M u r s a l t 5078 A l - N a b a 4079 A l - N z i t 4680 A b a s a 4281 A l - T a k w r 29
82 A l - I n f i r 1983 A l - M u a f f i f n 3684 A l - I n s h i q q 2585 A l - B u r j 2286 A l - r i q 1787 A l - A l 1988 A l - G h s h i y a h 2689 A l - F a j r 3090 A l - B a l a d 2091 A l - S h a m s 1592 A l - L a y l 2193 A l - u a 1194 A l - I n s h i r 895 A l - T n 896 A l - A l a q 1997 A l - Q a d r 598 A l - B a y y i n a h 899 A l - Z i l z l 8100 A l - d i y t 11101 A l - Q r i a h 11102 A l - T a k t h u r 8103 A l - A s r 3104 A l - H u m a z a 9105 Al-Fl 5106 Q u r a y s h 4107 A l - M n 7108 A l - K a w t h a r 3109 A l - K f i r n 6110 A l - N a r 3111 T a b b a t 5112 A l - I k h l 4113 A l - F a l a q 5114 A l - N s 6 0
2
1 X
2
2
0
1 X
2
0
2
2
2
1 X
0
1 X
1 X
2
1 X
0
0
1 X
2
2
2
1 X
0
2
1 X
1 X
1 X
2
22
2
2
1 X
2
2
1 X
1 X
1 X
1 X
0
0
0
0
1 X
0
1 X
1 X
2
1 X
2
1 X
0
2
2
2
2
1 X
1 X
2
1 X
2
0
21 X
0
1 X
1 X
1 X
2
0
2
2
0
0
2
0
1 X
2
2
1 X
0
2
2
2
1 X
0
1 X
0
1 X
0
2
1 X
2
0
0
2
00
0
2
2
2
2
0
0
0
Figure:Totalnumberofsurahsofwhichthenumberofverses+
sequencenumber=
1is1
2
0
2
0
2
NO. SURAH Ayat (NO + Ayat)
Mod 3(No + Ayat) Mod 3 which evaluate to ONE
1
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ModularApproach
53
(sequencenumbers+numberofverses)ofthe(sequencenumbers+numberofverses)ofthe(sequencenumbers+numberofverses)ofthe(sequencenumbers+numberofverses)ofthesurahssurahssurahssurahsMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluateto2222
Ayat +Ayat +Ayat +Ayat + No.No.No.No. Ayat +Ayat +Ayat +Ayat + No.No.No.No.SurahSurahSurahSurah SurahSurahSurahSurah
Al-Ftia 2 Al-Mujdalah 2
l Imrn 2 Al-ashr 2
Al-Midah 2 Al-Munfiqn 2Al-Anfl 2 Al-alq 2
Ynus 2 Al-Insn 2
Hd 2 Al-Nzit 2
Al-Rad 2 Abasa 2
Al-Isr 2 Al-Takwr 2
Al-Kahf 2 Al-Infir 2
h 2 Al-Muaffifn 2Al-Qaa 2 Al-Burj 2
Al-Ankabt 2 Al-Fajr 2
Luqmn 2 Al-Balad 2
Al-Sajdah 2 Al-Layl 2
Fir 2 Al-ua 2
Ysn 2 Al-Zilzl 2
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BinarySymmetricBook
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Al-Mumin 2 Al-Takthur 2
Fuilat 2 Al-Humaza 2
Al-Shr 2 Al-Fl 2
Al-Fat 2 Quraysh 2
Qf 2 Al-Nar 2
Al-r 2 Tabbat 2
Al-Wqiah 2 Al-Ikhl 2
Al-add 2
List-13
Thenumberofsurahsinthislistis47474747.
47474747Mod3wouldevaluateto2222.
EvaluationEvaluationEvaluationEvaluation
The total number of surahs for which the number of verses + sequencenumber = 2 is 2!
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ModularApproach
55
1 A l - F t i a 72 A l - B a q a r a h 2863 l I m r n 2004 A l - N i s 1765 A l - M i d a h 1206 A l - E n m 1657 A l - A r f 2068 A l - A n f l 759 A l - T a w b a h 12910 Y n u s 10911 H d 12312 Y s u f 11113 A l - R a d 43
14 I b r h m 5215 A l - i j r 9916 A l - N a l 12817 A l - I s r 11118 A l - K a h f 11019 M a r y a m 9820 h 13521 A l - A n b i y 11222 A l - a j j 7823 A l - M u m i n n 11824 A l - N r 6425 A l - F u r q n 7726 A l - S h u a r 22727 A l - N a m l 9328 A l - Q a a 8829 A l - A n k a b t 6930 A l - R m 6031 L u q m n 3432 A l - S a j d a h 3033 A l - A z b 7334 S a b a 5435 F i r 4536 Y s n 8337 A l - a f f t 18238 d 8839 A l - Z u m a r 7540 A l - M u m i n 8541 F u i l a t 5442 A l - S h r 5343 A l - Z u k h r u f 8944 A l - D u k h n 5945 A l - J t h i y a h 3746 A l - A q f 3547 M u a m m a d 38
48 A l - F a t 2949 A l - u j u r t 1850 Q f 4551 A l - D h r i y t 6052 A l - r 4953 A l - N a j m 6254 A l - Q a m a r 5555 A l - R a m n 7856 A l - W q i a h 9657 A l - a d d 2958 A l - M u j d a l a h 2259 A l - a s h r 2460 A l - M u m t a i n a h 1361 A l - a f f 1462 A l - J u m u a h 1163 A l - M u n f i q n 1164 A l - T a g h b u n 1865 A l - a l q 1266 A l - T a r m 1267 A l - M u l k 3068 A l - Q a l a m 5269 A l - q q a h 5270 A l - M a r i j 4471 N 2872 A l - J i n n 2873 A l - M u z z a m m i l 2074 l - M u d d a t h t h i r 5675 A l - Q i y m a h 4076 A l - I n s n 3177 A l - M u r s a l t 5078 A l - N a b a 4079 A l - N z i t 4680 A b a s a 4281 A l - T a k w r 29
82 A l - I n f i r 1983 A l - M u a f f i f n 3684 A l - I n s h i q q 2585 A l - B u r j 2286 A l - r i q 1787 A l - A l 1988 A l - G h s h i y a h 2689 A l - F a j r 3090 A l - B a l a d 2091 A l - S h a m s 1592 A l - L a y l 2193 A l - u a 1194 A l - I n s h i r 895 A l - T n 896 A l - A l a q 1997 A l - Q a d r 598 A l - B a y y i n a h 899 A l - Z i l z l 8100 A l - d i y t 11101 A l - Q r i a h 11102 A l - T a k t h u r 8103 A l - A s r 3104 A l - H u m a z a 9105 Al-Fl 5106 Q u r a y s h 4107 A l - M n 7108 A l - K a w t h a r 3109 A l - K f i r n 6110 A l - N a r 3111 T a b b a t 5112 A l - I k h l 4113 A l - F a l a q 5114 A l - N s 6 0
2 X
1
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00
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0
Figure:Totalnumberofsurahsofwhichthenumberofverses+
sequencenumber=
2is2
2 X
0
2 X
0
2
NO. SURAH Ayat (NO + Ayat)
Mod 3(No + Ayat) Mod 3 which evaluate to TWO
2
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1 A l - F t i a 12 A l - B a q a r a h 10 l I m r n 21 A l - N i s 22 A l - M i d a h 00 A l - E n m 01 A l - A r f 22 A l - A n f l 00 A l - T a w b a h 01 Y n u s 12 H d 00 Y s u f 01 A l - R a d 1
2 I b r h m 10 A l - i j r 01 A l - N a l 22 A l - I s r 00 A l - K a h f 21 M a r y a m 22 h 00 A l - A n b i y 11 A l - a j j 02 A l - M u m i n n 10 A l - N r 11 A l - F u r q n 22 A l - S h u a r 20 A l - N a m l 01 A l - Q a a 12 A l - A n k a b t 00 A l - R m 01 L u q m n 12 A l - S a j d a h 00 A l - A z b 11 S a b a 02 F i r 00 Y s n 21 A l - a f f t 22 d 10 A l - Z u m a r 01 A l - M u m i n 12 F u i l a t 00 A l - S h r 21 A l - Z u k h r u f 22 A l - D u k h n 20 A l - J t h i y a h 11 A l - A q f 22 M u a m m a d 20
A l - F a t 2
1 A l - u j u r t 02 Q f 00 A l - D h r i y t 01 A l - r 12 A l - N a j m 20 A l - Q a m a r 11 A l - R a m n 02 A l - W q i a h 00 A l - a d d 21 A l - M u j d a l a h 12 A l - a s h r 00 A l - M u m t a i n a h 11 A l - a f f 22 A l - J u m u a h 20 A l - M u n f i q n 21 A l - T a g h b u n 02 A l - a l q 00 A l - T a r m 01 A l - M u l k 02 A l - Q a l a m 10 A l - q q a h 11 A l - M a r i j 22 N 10 A l - J i n n 11 A l - M u z z a m m i l 22 A l - M u d d a t h t h i r 20 A l - Q i y m a h 11 A l - I n s n 12 A l - M u r s a l t 20 A l - N a b a 11 A l - N z i t 12 A b a s a 00 A l - T a k w r 21 A l - I n f i r 12 A l - M u a f f i f n 00 A l - I n s h i q q 11 A l - B u r j 12 A l - r i q 20 A l - A l 11 A l - G h s h i y a h 22 A l - F a j r 00 A l - B a l a d 21 A l - S h a m s 02 A l - L a y l 00 A l - u a 21 A l - I n s h i r 22 A l - T n 20 A l - A l a q 11 A l - Q a d r 22 A l - B a y y i n a h 20 A l - Z i l z l 21 A l - d i y t 22 A l - Q r i a h 20 A l - T a k t h u r 21 A l - A s r 02 A l - H u m a z a 00 Al-Fl 21 Q u r a y s h 12 A l - M n 10 A l - K a w t h a r 01 A l - K f i r n 02 A l - N a r 00 T a b b a t 21 A l - I k h l 12 A l - F a l a q 20 A l - N s 0 X X
Number of verses Mod 3 which evaluate to ZERO (No + Ayat) Mod 3 which evaluate to ZERO
X
X X
X
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X
X
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XX X
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X
IntheFigure,equaldistributionsofthenumb
erofsurahsofwhichthenumberofverses=
0,andnumbe
rofsurahsofwhichthenumberofverses+sequencenumbe
r=
0isshown.
X
X
X
NO. SURAH Ayat
a
x
is
o
f
sym
m
e
tr
y
0 0
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1 A l - F t i a 12 A l - B a q a r a h 10 l I m r n 21 A l - N i s 22 A l - M i d a h 00 A l - E n m 01 A l - A r f 22 A l - A n f l 00 A l - T a w b a h 01 Y n u s 12 H d 00 Y s u f 01 A l - R a d 1
2 I b r h m 10 A l - i j r 01 A l - N a l 22 A l - I s r 00 A l - K a h f 21 M a r y a m 22 h 00 A l - A n b i y 11 A l - a j j 02 A l - M u m i n n 10 A l - N r 11 A l - F u r q n 22 A l - S h u a r 20 A l - N a m l 01 A l - Q a a 12 A l - A n k a b t 00 A l - R m 01 L u q m n 12 A l - S a j d a h 00 A l - A z b 11 S a b a 02 F i r 00 Y s n 21 A l - a f f t 22 d 10 A l - Z u m a r 01 A l - M u m i n 12 F u i l a t 00 A l - S h r 21 A l - Z u k h r u f 22 A l - D u k h n 20 A l - J t h i y a h 11 A l - A q f 22 M u a m m a d 20
A l - F a t 2
1 A l - u j u r t 02 Q f 00 A l - D h r i y t 01 A l - r 12 A l - N a j m 20 A l - Q a m a r 11 A l - R a m n 02 A l - W q i a h 00 A l - a d d 21 A l - M u j d a l a h 12 A l - a s h r 00 A l - M u m t a i n a h 11 A l - a f f 22 A l - J u m u a h 20 A l - M u n f i q n 21 A l - T a g h b u n 02 A l - a l q 00 A l - T a r m 01 A l - M u l k 02 A l - Q a l a m 10 A l - q q a h 11 A l - M a r i j 22 N 10 A l - J i n n 11 A l - M u z z a m m i l 22 A l - M u d d a t h t h i r 20 A l - Q i y m a h 11 A l - I n s n 12 A l - M u r s a l t 20 A l - N a b a 11 A l - N z i t 12 A b a s a 00 A l - T a k w r 21 A l - I n f i r 12 A l - M u a f f i f n 00 A l - I n s h i q q 11 A l - B u r j 12 A l - r i q 20 A l - A l 11 A l - G h s h i y a h 22 A l - F a j r 00 A l - B a l a d 21 A l - S h a m s 02 A l - L a y l 00 A l - u a 21 A l - I n s h i r 22 A l - T n 20 A l - A l a q 11 A l - Q a d r 22 A l - B a y y i n a h 20 A l - Z i l z l 21 A l - d i y t 22 A l - Q r i a h 20 A l - T a k t h u r 21 A l - A s r 02 A l - H u m a z a 00 Al-Fl 21 Q u r a y s h 12 A l - M n 10 A l - K a w t h a r 01 A l - K f i r n 02 A l - N a r 00 T a b b a t 21 A l - I k h l 12 A l - F a l a q 20 A l - N s 0
X
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Number of verses Mod 3 which evaluate to ONE (No + Ayat) Mod 3 which evaluate to ONE
IntheFigure,equaldistributionsofthenumb
erofsurahsofwhichthenumberofverses=
1,andnumbe
rofsurahsofwhichthenumberofverses+sequencenumbe
r=
1isshown.
X
X
NO. SURAH Ayat
a
x
is
o
f
sym
m
e
tr
y
1 1
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1 A l - F t i a 12 A l - B a q a r a h 10 l I m r n 21 A l - N i s 22 A l - M i d a h 00 A l - E n m 01 A l - A r f 22 A l - A n f l 00 A l - T a w b a h 01 Y n u s 12 H d 00 Y s u f 01 A l - R a d 1
2 I b r h m 10 A l - i j r 01 A l - N a l 22 A l - I s r 00 A l - K a h f 21 M a r y a m 22 h 00 A l - A n b i y 11 A l - a j j 02 A l - M u m i n n 10 A l - N r 11 A l - F u r q n 22 A l - S h u a r 20 A l - N a m l 01 A l - Q a a 12 A l - A n k a b t 00 A l - R m 01 L u q m n 12 A l - S a j d a h 00 A l - A z b 11 S a b a 02 F i r 00 Y s n 21 A l - a f f t 22 d 10 A l - Z u m a r 01 A l - M u m i n 12 F u i l a t 00 A l - S h r 21 A l - Z u k h r u f 22 A l - D u k h n 20 A l - J t h i y a h 11 A l - A q f 22 M u a m m a d 20
A l - F a t 2
1 A l - u j u r t 02 Q f 00 A l - D h r i y t 01 A l - r 12 A l - N a j m 20 A l - Q a m a r 11 A l - R a m n 02 A l - W q i a h 00 A l - a d d 21 A l - M u j d a l a h 12 A l - a s h r 00 A l - M u m t a i n a h 11 A l - a f f 22 A l - J u m u a h 20 A l - M u n f i q n 21 A l - T a g h b u n 02 A l - a l q 00 A l - T a r m 01 A l - M u l k 02 A l - Q a l a m 10 A l - q q a h 11 A l - M a r i j 22 N 10 A l - J i n n 11 A l - M u z z a m m i l 22 A l - M u d d a t h t h i r 20 A l - Q i y m a h 11 A l - I n s n 12 A l - M u r s a l t 20 A l - N a b a 11 A l - N z i t 12 A b a s a 00 A l - T a k w r 21 A l - I n f i r 12 A l - M u a f f i f n 00 A l - I n s h i q q 11 A l - B u r j 12 A l - r i q 20 A l - A l 11 A l - G h s h i y a h 22 A l - F a j r 00 A l - B a l a d 21 A l - S h a m s 02 A l - L a y l 00 A l - u a 21 A l - I n s h i r 22 A l - T n 20 A l - A l a q 11 A l - Q a d r 22 A l - B a y y i n a h 20 A l - Z i l z l 21 A l - d i y t 22 A l - Q r i a h 20 A l - T a k t h u r 21 A l - A s r 02 A l - H u m a z a 00 Al-Fl 21 Q u r a y s h 12 A l - M n 10 A l - K a w t h a r 01 A l - K f i r n 02 A l - N a r 00 T a b b a t 21 A l - I k h l 12 A l - F a l a q 20 A l - N s 0
X
X
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IntheFigure,equaldistributionsofthenumb
erofsurahsofwhichthenumberofverses=
2,andnumbe
rofsurahsofwhichthenumberofverses+sequencenumbe
r=
2isshown.
X
X X
X
NO. SURAH Ayat Number of verses Mod 3 which evaluate to TWO (No + Ayat) Mod 3 which evaluate to TWO
a
x
is
o
f
sym
m
e
tr
y
2 2
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NumberofversesoftheNumberofversesoftheNumberofversesoftheNumberofversesofthesurahssurahssurahssurahsinthefirstpartMod3inthefirstpartMod3inthefirstpartMod3inthefirstpartMod3whichevaluateto0whichevaluateto0whichevaluateto0whichevaluateto0
SurahSurahSurahSurah AyatAyatAyatAyat SurahSurahSurahSurah AyaAyaAyaAyatttt
Al-Midah 0 Al-Rm 0
Al-Enm 0 Al-Sajdah 0
Al-Anfl 0 Saba 0
Al-Tawbah 0 Fir 0
Hd 0 Al-Zumar 0Ysuf 0 Fuilat 0
Al-ijr 0 Al-ujurt 0
Al-Isr 0 Qf 0
h 0 Al-Dhriyt 0
Al-ajj 0 Al-Ramn 0
Al-Naml 0 Al-Wqiah 0
Al-Ankabt 0 List-14
Thenumberofsurahsinthislistis23232323.
23232323Mod3wouldevaluateto2222.
(sequencenumbers+(sequencenumbers+(sequencenumbers+(sequencenumbers+numberofverses)ofthenumberofverses)ofthenumberofverses)ofthenumberofverses)ofthesurahssurahssurahssurahsinthefirstpartMod3whichevaluateto0inthefirstpartMod3whichevaluateto0inthefirstpartMod3whichevaluateto0inthefirstpartMod3whichevaluateto0
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Ayat +Ayat +Ayat +Ayat + No.No.No.No. Ayat +Ayat +Ayat +Ayat + No.No.No.No.SurahSurahSurahSurah SurahSurahSurahSurah
Al-Baqarah 0 Al-Muminn 0
Al-Nis 0 Al-Furqn 0
Al-Enm 0 Al-Naml 0
Al-Arf 0 Al-Rm 0
Al-Tawbah 0 Al-afft 0
Ysuf 0 d 0
Ibrhm 0 Al-Zumar 0
Al-ijr 0 Al-Zukhruf 0
Al-Nal 0 Al-Aqf 0
Maryam 0 Al-Dhriyt 0
List-15
Thenumberofsurahsinthislistis20202020.
20202020Mod3wouldevaluateto2222.
EvaluationEvaluationEvaluationEvaluation
In the first part,Number of 0 occurs in the number of verses = 2222Number of 0 occurs in (number of verses + sequence numbers) = 2222 (To(To(To(To
be more intelligible, this should be expressed in terms of Mod 3, for exbe more intelligible, this should be expressed in terms of Mod 3, for exbe more intelligible, this should be expressed in terms of Mod 3, for exbe more intelligible, this should be expressed in terms of Mod 3, for example: Theample: Theample: Theample: The(number of verses) Mod 3 = 0 occurs in 23 surahs; 23 Mod 3 is 2.(number of verses) Mod 3 = 0 occurs in 23 surahs; 23 Mod 3 is 2.(number of verses) Mod 3 = 0 occurs in 23 surahs; 23 Mod 3 is 2.(number of verses) Mod 3 = 0 occurs in 23 surahs; 23 Mod 3 is 2.
The (number of verses + sequence number) Mod 3 = 0 occurs in 20The (number of verses + sequence number) Mod 3 = 0 occurs in 20The (number of verses + sequence number) Mod 3 = 0 occurs in 20The (number of verses + sequence number) Mod 3 = 0 occurs in 20surahs; 20 Mod 3 is 2.)surahs; 20 Mod 3 is 2.)surahs; 20 Mod 3 is 2.)surahs; 20 Mod 3 is 2.)
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ModularApproach
61
1 A l - F t i a 12 A l - B a q a r a h 10 l I m r n 21 A l - N i s 22 A l - M i d a h 00 A l - E n m 01 A l - A r f 22 A l - A n f l 00 A l - T a w b a h 01 Y n u s 12 H d 00 Y s u f 01 A l - R a d 1
2 I b r h m 10 A l - i j r 01 A l - N a l 22 A l - I s r 00 A l - K a h f 21 M a r y a m 22 h 00 A l - A n b i y 11 A l - a j j 02 A l - M u m i n n 10 A l - N r 11 A l - F u r q n 22 A l - S h u a r 20 A l - N a m l 01 A l - Q a a 12 A l - A n k a b t 00 A l - R m 01 L u q m n 12 A l - S a j d a h 00 A l - A z b 11 S a b a 02 F i r 00 Y s n 21 A l - a f f t 22 d 10 A l - Z u m a r 01 A l - M u m i n 12 F u i l a t 00 A l - S h r 21 A l - Z u k h r u f 22 A l - D u k h n 20 A l - J t h i y a h 11 A l - A q f 2
2 M u a m m a d 20 A l - F a t 21 A l - u j u r t 02 Q f 00 A l - D h r i y t 01 A l - r 12 A l - N a j m 20 A l - Q a m a r 11 A l - R a m n 02 A l - W q i a h 00 A l - a d d
IntheFigure,equaldistributionsofthenumberofsurahsofwhichthenumberofverses=
0,andnumberofsurahsofwhichthenumberofverses+sequencenumber=
0inthefirsthalfisshown.
X
X
X X
X
X
X
X
X
X X
X
X
X
X
X
X
X X
X X
X
X
X
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X X
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X
X
NO. SURAH Ayat Number of verses Mod 3 which evaluate to ZERO (No + Ayat) Mod 3 which evaluate to ZERO
2 2axisofsymmetry
NumberofversesoftheNumberofversesoftheNumberofversesoftheNumberofversesofthesurahssurahssurahssurahsintheintheintheinthesecondsecondsecondsecondpartModpartModpartModpartMod3whichevaluateto03whichevaluateto03whichevaluateto03whichevaluateto0
SurahSurahSurahSurah AyaAyaAyaAyatttt SurahSurahSurahSurah AyatAyatAyatAyat
Al-ashr 0 Al-Shams 0
Al-Taghbun 0 Al-Layl 0
Al-alq 0 Al-Asr 0
Al-Tarm 0 Al-Humaza 0
Al-Mulk 0 Al-Kawthar 0
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Abasa 0 Al-Kfirn 0
Al-Muaffifn 0 Al-Nar 0
Al-Fajr 0 Al-Ns 0
List-16Thenumberofsurahsinthislistis16161616.
16161616Mod3wouldevaluateto1111.
(sequencenumbers+(sequencenumbers+(sequencenumbers+(sequencenumbers+numberofverses)ofthenumberofverses)ofthenumberofverses)ofthenumberofverses)ofthesurahssurahssurahssurahsintheintheintheinthesecondsecondsecondsecondpartMod3whichevaluateto0partMod3whichevaluateto0partMod3whichevaluateto0partMod3whichevaluateto0
Ayat +Ayat +Ayat +Ayat + No.No.No.No. Ayat +Ayat +Ayat +Ayat + No.No.No.No.SurahSurahSurahSurah SurahSurahSurahSurah
Al-aff 0 Al-Inshir 0
Al-Tarm 0 Al-Qadr 0
Al-Qalam 0 Al-diyt 0
Al-Marij 0 Al-Mn 0
N 0 Al-Kawthar 0
Al-Muzzammil 0 Al-Ns 0
Al-Ghshiyah 0
List-17
Thenumberofsurahsinthislistis13131313.
13131313Mod3wouldevaluateto1111.
EvaluationEvaluationEvaluationEvaluation
In the second part,
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Number of 0 occurs in the number of verses = 1111Number of 0 occurs in (number of verses + sequence numbers) = 1111 (See(See(See(See
my comment above.)my comment above.)my comment above.)my comment above.)
1 A l - M u j d a l a h 12 A l - a s h r 00 A l - M u m t a i n a h 11 A l - a f f 22 A l - J u m u a h 20 A l - M u n f i q n 21 A l - T a g h b u n 02 A l - a l q 00 A l - T a r m 01 A l - M u l k 02 A l - Q a l a m 10 A l - q q a h 11 A l - M a r i j 22 N 10 A l - J i n n 11 A l - M u z z a m m i l 22 A l - M u d d a t h t h i r 20 A l - Q i y m a h 11 A l - I n s n 12 A l - M u r s a l t 20 A l - N a b a 11 A l - N z i t 12 A b a s a 00 A l - T a k w r 21 A l - I n f i r 12 A l - M u a f f i f n 00 A l - I n s h i q q 11 A l - B u r j 12 A l - r i q 20 A l - A l 11 A l - G h s h i y a h 22 A l - F a j r 00 A l - B a l a d 21 A l - S h a m s 02 A l - L a y l 00 A l - u a 21 A l - I n s h i r 22 A l - T n 20 A l - A l a q 11 A l - Q a d r 22 A l - B a y y i n a h 20 A l - Z i l z l 21 A l - d i y t 22 A l - Q r i a h 20 A l - T a k t h u r 21 A l - A s r 02 A l - H u m a z a 00 Al-Fl 21 Q u r a y s h 12 A l - M n 10 A l - K a w t h a r 01 A l - K f i r n 02 A l - N a r 00 T a b b a t 21 A l - I k h l 12 A l - F a l a q 20 A l - N s 0 X X
IntheFigure,equaldistributionsofthenumberofsurahsofwhichthenumbero
fverses=
0,andnumberofsurahsofwhichthenumberofverses+sequencenumber=
0inthesecondhalfisshown.
X
X X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X X
X
X
X
X
X
NO. SURAH Ayat Number of verses Mod 3 which evaluate to ZERO (No + Ayat) Mod 3 which evaluate to ZERO
1 1ax
is
o
f
symme
try
NumberofversesoftheNumberofversesoftheNumberofversesoftheNumberofversesofthesurahssurahssurahssurahsintheintheintheinthefirstpartMod3firstpartMod3firstpartMod3firstpartMod3whichevaluateto1whichevaluateto1whichevaluateto1whichevaluateto1
SurahSurahSurahSurah AyatAyatAyatAyat SurahSurahSurahSurah AyatAyatAyatAyat
Al-Ftia 1 Al-Qaa 1
Al-Baqarah 1 Luqmn 1
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64/283
BinarySymmetricBook
64
Ynus 1 Al-Azb 1
Al-Rad 1 d 1
Ibrhm 1 Al-Mumin 1
Al-Anbiy 1 Al-Jthiyah 1
Al-Muminn 1 Al-r 1
Al-Nr 1 Al-Qamar 1
List-18Thenumberofsurahsinthislistis16161616.
16161616Mod3wouldevaluateto1111.
(sequencenumbers+(sequencenumbers+(sequencenumbers+(sequencenumbers+numberofverses)ofthenumberofverses)ofthenumberofverses)ofthenumberofverses)ofthesurahssurahssurahssurahsintheintheintheinthefirstpartMod3whichevaluateto1firstpartMod3whichevaluateto1firstpartMod3whichevaluateto1firstpartMod3whichevaluateto1
Ayat +Ayat +Ayat +Ayat + No.No.No.No. Ayat +Ayat +Ayat +Ayat + No.No.No.No.SurahSurahSurahSurah SurahSurahSurahSurah
Al-Anbiy 1 Al-Jthiyah 1
Al-ajj 1 Muammad 1
Al-Nr 1 Al-ujurt 1
Al-Shuar 1 Al-Najm 1
Al-Azb 1 Al-Qamar 1
Saba 1 Al-Ramn 1
Al-Dukhn 1
List-19
Thenumberofsurahsinthislistis13131313.
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65/283
ModularApproach
65
13131313Mod3wouldevaluateto1111.
EvaluationEvaluationEvaluationEvaluation
In the first part,Number of 1 occurs in the number of verses = 1111Number of 1 occurs in (number of verses + sequence numbers) = 1111 (See(See(See(See
my comment above..)my comment above..)my comment above..)my comment a
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