Binary Symmetric Book 3 (Holy Quran)

7/30/2019 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


Mod3whichevaluateto1................................................ 50


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Contents

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Mod3whichevaluateto2................................................ 53

NumberofversesofthesurahsinthefirstpartMod3

whichevaluateto0........................................................... 59

(sequencenumbers+numberofverses)ofthesurahsin

thefirstpartMod3whichevaluateto0........................... 59

NumberofversesofthesurahsinthesecondpartMod3



thesecondpartMod3whichevaluateto0...................... 62

NumberofversesofthesurahsinthefirstpartMod3whichevaluateto1........................................................... 63







NumberofversesofthesurahsinthefirstpartMod3







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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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versesinthesecondgroupof19surahs.......................... 130


versesinthethirdgroupof19surahs............................. 132


versesinthefourthgroupof19surahs........................... 133


versesinthefifthgroupof19surahs.............................. 134


versesinthesixthgroupof19surahs ............................. 135

Surahswithevensequencenumberandoddnumberofversesinthefirstgroupof19surahs............................... 140

Surahswithevensequencenumberandoddnumberof










Surahswithevensequencenumberandevennumberof

versesinthefirstgroupof19surahs............................... 154


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Contents

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Surahswithoddsequencenumberandevennumberofversesinthefirstgroupof19surahs............................... 165

Surahswithoddsequencenumberandevennumberof











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BinarySymmetricBook

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Homogeneoussurahswithinthefirstgroupof19interms

ofoddness-evennessofthesequencenumbersandthe

numberofverses ........................................................... 179

Homogeneoussurahswithinthesecondgroupof19intermsofoddness-evennessofthesequencenumbersand

thenumberofverses ..................................................... 180

Homogeneoussurahswithinthethirdgroupof19interms


numberofverses ........................................................... 181

Homogeneoussurahswithinthefourthgroupof19in

termsofoddness-evennessofthesequencenumbersand


Homogeneoussurahswithinthefifthgroupof19interms


numberofverses ........................................................... 184

Homogeneoussurahswithinthesixthgroupof19interms


numberofverses ........................................................... 185

Non-homogeneoussurahswithinthefirstgroupof19in



Non-homogeneoussurahswithinthesecondgroupof19in




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Contents

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Non-homogeneoussurahswithinthethirdgroupof19in



Non-homogeneoussurahswithinthefourthgroupof19intermsofoddness-evennessofthesequencenumbersand


Non-homogeneoussurahswithinthefifthgroupof19in



Non-homogeneoussurahswithinthesixthgroupof19in



Homogeneoussurahswithinthefirstgroupof19:boththe

sequencenumberandthenumberofversesareprime,or

botharenon-prime......................................................... 201

Homogeneoussurahswithinthesecondgroupof19:both

thesequencenumberandthenumberofversesare

prime,orbotharenon-prime......................................... 202

Homogeneoussurahswithinthethirdgroupof19:both



Homogeneoussurahswithinthefourthgroupof19:both




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Homogeneoussurahswithinthefifthgroupof19:boththe

sequencenumberandthenumberofversesareprime,or


Homogeneoussurahswithinthesixthgroupof19:boththesequencenumberandthenumberofversesareprime,or


Non-homogeneoussurahswithinthefirstgroupof19:if

thesequencenumberisprime,thenumberofversesis

non-prime,orviceversa ................................................. 212

Non-homogeneoussurahswithinthesecondgroupof19:if



Non-homogeneoussurahswithinthethirdgroupof19:if



Non-homogeneoussurahswithinthefourthgroupof19:if



Non-homogeneoussurahswithinthefifthgroupof19:if



Non-homogeneoussurahswithinthesixthgroupof19:if



CountingbackwardsfromthelastCountingbackwardsfromthelastCountingbackwardsfromthelastCountingbackwardsfromthelastsurahsurahsurahsurahintheKoranintheKoranintheKoranintheKoran ...... 225


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Surahsforwhichthedifferencebetweenthebackwards

sequencenumberandthenumberofversesisapositive

integer............................................................................. 228

Surahsforwhichthedifferencebetweenthebackwardssequencenumberandthenumberofversesisapositive

oddinteger...................................................................... 232



eveninteger..................................................................... 234



integer,andthebackwardsequencenumberisodd...... 238



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


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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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


verses is a positive integer, the backwards sequence

number is odd and the number of verses is odd... 251




number is odd and the number of verses is even.. 252



verses is a positive integer, the backwards sequencenumber is even and the number of verses is even 254




number is even and the number of verses is odd.. 255


sequencenumbersandthenumberofversesisanegative

integer............................................................................. 259

Surahsforwhichthedifferencebetweenthebackwardssequencenumbersandthenumberofversesisanegative

oddinteger...................................................................... 261


sequencenumbersandthenumberofversesisanegative

eveninteger..................................................................... 262


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Contents

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sequencenumbersandthenumberofversesarenegative

integersandthebackwardsequencenumbersareodd.. 265

Surahsforwhichthedifferencebetweenthebackwardssequencenumbersandthenumberofversesarenegative

integersandthebackwardsequencenumbersareeven. 266



verses is a negative odd integer, the backwards

sequence number is odd and the number of verses is

even ........................................................................ 269



verses is a negativeodd integer, the backwardssequence number is even and the number of verses

is odd...................................................................... 270



verses is a negativeeven integer, the backwardssequence number is odd and the number of verses is

odd.......................................................................... 271



verses is a negativeeven integer, the backwardssequence number is even and the number of verses

is even..................................................................... 272



verses is a negativeinteger, the backwards sequencenumber is odd and the number of verses is odd... 275




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BinarySymmetricBook

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verses is a negativeinteger, the backwards sequencenumber is odd and the number of verses is even.. 276



verses is a negativeinteger, the backwards sequencenumber is even and the number of verses is even 277Surahs for which the difference between the


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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BinarySymmetricBook

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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


0.

Letusdivide100byeight.100/8=8*12+4


4.

Mod2Mod2Mod2Mod21111

Mod3Mod3Mod3Mod3

1 See Odd and Even Numbers (Binary Symmetric Book 1)


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ModularApproach

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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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BinarySymmetricBook

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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

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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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ModularApproach

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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


Al-Mujdalah 1 Al-Al 1

Al-ashr 0 Al-Ghshiyah 2

Al-Mumtainah 1 Al-Fajr 0


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BinarySymmetricBook

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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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ModularApproach

29

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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BinarySymmetricBook

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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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BinarySymmetricBook

32

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

33

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


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


34/283

BinarySymmetricBook

34

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


35/283

ModularApproach

35

NumberofversesoftheNumberofversesoftheNumberofversesoftheNumberofversesofthesurahssurahssurahssurahsMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluateto0000


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


36/283

BinarySymmetricBook

36

Al-ujurt 0 Al-Ns 0

Qf 0

List-7

Thenumberofsurahsinthislistis39393939.39Mod3wouldevaluateto0000.


The number of surahs for which the number of verses = 0, is 0!


37/283

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


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


38/283

BinarySymmetricBook

38

NumbeNumbeNumbeNumberofversesoftherofversesoftherofversesoftherofversesofthesurahssurahssurahssurahsMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluateto1111


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.


39/283

ModularApproach

39

34Mod3wouldevaluateto1111.




40/283

BinarySymmetricBook

40






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


verses Mod 3Number of verses Mod 3 which evaluate to ONE

1 X

1 X

1


41/283

ModularApproach

41

NumberofversesoftheNumberofversesoftheNumberofversesoftheNumberofversesofthesurahssurahssurahssurahsMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluateto2222


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


42/283

BinarySymmetricBook

42

Al-add 2 Al-Fl 2

Al-aff 2 Tabbat 2

Al-Jumuah 2 Al-Falaq 2

Al-Munfiqn 2

List-9






43/283

ModularApproach

43




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


verses Mod 3Number of verses Mod 3 which evaluate to TWO


ofverses=

2,

is2

1

2


44/283

BinarySymmetricBook

44

Sequencenumbers+numberofversesMod3Sequencenumbers+numberofversesMod3Sequencenumbers+numberofversesMod3Sequencenumbers+numberofversesMod3

Ayat +Ayat +Ayat +Ayat +

No.No.No.No.


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


45/283

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


46/283

BinarySymmetricBook

46

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 +


47/283

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





48/283

BinarySymmetricBook

48

The total number of surahs for which the number of verses + sequencenumber = 0 is 0!


49/283

ModularApproach

49




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


50/283

BinarySymmetricBook

50

(sequencenumbers+numberofverses)ofthe(sequencenumbers+numberofverses)ofthe(sequencenumbers+numberofverses)ofthe(sequencenumbers+numberofverses)ofthesurahssurahssurahssurahsMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluatetoMod3whichevaluateto1111


No.No.No.No.


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


51/283

ModularApproach

51

Al-Mulk 1 Al-Falaq 1

List-12


34Mod3wouldevaluateto1111.EvaluationEvaluationEvaluationEvaluation



52/283

BinarySymmetricBook

52





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


sequencenumber=

1is1

2

0

2

0

2


Mod 3(No + Ayat) Mod 3 which evaluate to ONE

1


53/283

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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54

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






55/283

ModularApproach

55





2 X

1

2 X

2 X

0

1

2 X

0

2 X

2 X

2 X

1

0

1

1

2 X

1

0

0

1

2 X

2 X

2 X

1

0

2 X

1

1

1

2 X

2 X2 X

2 X

2 X

1

2 X

2 X

1

1

1

1

0

0

0

0

1

0

1

1

2 X

1

2 X

1

0

2 X

2 X

2 X

2 X

1

1

2 X

1

2 X

0

2 X1

0

1

1

1

2 X

0

2 X

2 X

0

0

2 X

0

1

2 X

2 X

1

0

2 X

2 X

2 X

1

0

1

0

1

0

2 X

1

2 X

0

0

2 X

00

0

2 X

2 X

2 X

2 X

0

X

0

0


sequencenumber=

2is2

2 X

0

2 X

0

2


Mod 3(No + Ayat) Mod 3 which evaluate to TWO

2


56/283

BinarySymmetricBook

56



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

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 X

X

X

X

X

X

X X

X

X

X

X

X X

X

X X

X

X

X

X

X

X

X

XX X

X X

X

X

X X

X X

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


57/283

ModularApproach

57



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

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 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

X

X

X X

X X

X

X

X

X

Number of verses Mod 3 which evaluate to ONE (No + Ayat) Mod 3 which evaluate to ONE



1,andnumbe


r=

1isshown.

X

X

NO. SURAH Ayat

a

x

is

o

f

sym

m

e

tr

y

1 1


58/283

BinarySymmetricBook

58



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

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

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

X

X X

X

X

X

X X

X

X

X

X

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X

X

X

X

X X

X

X

X

X

X

X

X

X

X



2,andnumbe


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


59/283

ModularApproach

59

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



(sequencenumbers+(sequencenumbers+(sequencenumbers+(sequencenumbers+numberofverses)ofthenumberofverses)ofthenumberofverses)ofthenumberofverses)ofthesurahssurahssurahssurahsinthefirstpartMod3whichevaluateto0inthefirstpartMod3whichevaluateto0inthefirstpartMod3whichevaluateto0inthefirstpartMod3whichevaluateto0


60/283

BinarySymmetricBook

60


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




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.)


61/283

ModularApproach

61


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

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

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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BinarySymmetricBook

62

Abasa 0 Al-Kfirn 0

Al-Muaffifn 0 Al-Nar 0

Al-Fajr 0 Al-Ns 0

List-16Thenumberofsurahsinthislistis16161616.


(sequencenumbers+(sequencenumbers+(sequencenumbers+(sequencenumbers+numberofverses)ofthenumberofverses)ofthenumberofverses)ofthenumberofverses)ofthesurahssurahssurahssurahsintheintheintheinthesecondsecondsecondsecondpartMod3whichevaluateto0partMod3whichevaluateto0partMod3whichevaluateto0partMod3whichevaluateto0


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




In the second part,


63/283

ModularApproach

63

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


Al-Ftia 1 Al-Qaa 1

Al-Baqarah 1 Luqmn 1


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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.


(sequencenumbers+(sequencenumbers+(sequencenumbers+(sequencenumbers+numberofverses)ofthenumberofverses)ofthenumberofverses)ofthenumberofverses)ofthesurahssurahssurahssurahsintheintheintheinthefirstpartMod3whichevaluateto1firstpartMod3whichevaluateto1firstpartMod3whichevaluateto1firstpartMod3whichevaluateto1


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



65/283

ModularApproach

65



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

Documents

Binary Symmetric Book 3 (Holy Quran)