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    Thenumberswhicharedividedbythreeandnotdividedbytwo

    149

    ThenumberswhicharedividedbyThenumberswhicharedividedbyThenumberswhicharedividedbyThenumberswhicharedividedbythreethreethreethreeandnotandnotandnotandnot

    dividedbytwodividedbytwodividedbytwodividedbytwoInthissectionwewillfirstdetermine thenumberswhich

    arecontainedintheindexofQurnthataredividedbythreeandnot divided by two. Then, we will investigate whether amathematicalharmonyexistsbetweenthemornot.

    Inthefollowinglist,thenumberscontainedintheindexofQurnwhichare divisible by three andnot divisibleby two are

    marked: No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat

    1 Al-Ftia 7 58 Al-Mujdalah 222 Al-Baqarah 286 59 Al-ashr 243333 lImrn 200 60 Al-Mumtainah 134 Al-Nis 176 61 Al-aff 145

    Al-Midah

    120

    62

    Al-Jumuah

    116 Al-Enm 165165165165 63636363 Al-Munfiqn 117 Al-Arf 206 64 Al-Taghbun 188 Al-Anfl 75757575 65 Al-alq 129999 Al-Tawbah 129129129129 66 Al-Tarm 1210 Ynus 109 67 Al-Mulk 3011 Hd 123123123123 68 Al-Qalam 5212 Ysuf 111111111111 69696969 Al-qqah 5213 Al-Rad 43 70 Al-Marij 4414 Ibrhm 52 71 N 2815151515 Al-ijr 99999999 72 Al-Jinn 2816 Al-Nal 128 73 Al-Muzzammil 2017 Al-Isr 111111111111 74 Al-Muddaththir 5618 Al-Kahf 110 75757575 Al-Qiymah 4019 Maryam 98 76 Al-Insn 3120 h 135135135135 77 Al-Mursalt 5021212121 Al-Anbiy 112 78 Al-Naba 4022 Al-ajj 78 79 Al-Nzit 46

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    23 Al-Muminn 118 80 Abasa 4224 Al-Nr 64 81818181 Al-Takwr 2925 Al-Furqn 77 82 Al-Infir 1926 Al-Shuar 227 83 Al-Muaffifn 3627272727 Al-Naml 93939393 84 Al-Inshiqq 2528 Al-Qaa 88 85 Al-Burj 2229 Al-Ankabt 69696969 86 Al-riq 1730 Al-Rm 60 87878787 Al-Al 1931 Luqmn 34 88 Al-Ghshiyah 2632 Al-Sajdah 30 89 Al-Fajr 3033333333 Al-Azb 73 90 Al-Balad 2034 Saba 54 91 Al-Shams 1515151535 Fir 45454545 92 Al-Layl 2121212136 Ysn 83 93939393 Al-ua 1137 Al-afft 182 94 Al-Inshir 838 d 88 95 Al-Tn 839393939 Al-Zumar 75757575 96 Al-Alaq 1940 Al-Mumin 85 97 Al-Qadr 541

    Fuilat

    54

    98

    Al-Bayyinah

    842 Al-Shr 53 99999999 Al-Zilzl 8

    43 Al-Zukhruf 89 100 Al-diyt 1144 Al-Dukhn 59 101 Al-Qriah 1145454545 Al-Jthiyah 37 102 Al-Takthur 846 Al-Aqf 35 103 Al-Asr 333347 Muammad 38 104 Al-Humaza 999948 Al-Fat 29 105105105105 Al-Fl 549 Al-ujurt 18 106 Quraysh 450 Qf 45454545 107 Al-Mn 751515151 Al-Dhriyt 60 108 Al-Kawthar 333352 Al-r 49 109 Al-Kfirn 653 Al-Najm 62 110 Al-Nar 333354 Al-Qamar 55 111111111111 Tabbat 555 Al-Ramn 78 112 Al-Ikhl 456 Al-Wqiah 96 113 Al-Falaq 557575757 Al-add 29 114 Al-Ns 6

    List-69

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    Thenumberswhicharedividedbythreeandnotdividedbytwo

    151

    Now,letusdividethenumberscontainedintheindexofQurnaccording totheirhomogeneitywithrespect todivisible

    bythreeandbeingnotdivisiblebytwo.

    Example for the surahs with homogeneous sequencenumbersandnumberofayats:

    9 Al-Tawbah 129

    Al-Tawbah is a homogeneous surah. Forwhy, both thesequencenumberandthenumberofayats,meettheconditionof

    divisiblebythreeandnotbeingdivisiblebytwo.Therefore,al-Tawbahsurahishomogeneousinthisrespect.

    1 Al-Ftia 7Surah al-Ftia is also a homogeneous surah. Forwhy,

    neitherthesequencenorthenumberofayats,meetstheconditionofdivisiblebythreeandnotbeingdivisiblebytwo.Therefore,al-Ftiasurahishomogeneousinthisrespect.

    Exampleforthesurahsofwhichtheirsequencenumbersandnumberofayatsarenothomogeneous:

    21 Al-Anbiy 112The sequence number of al-Anbiy surah meets the

    conditionof divisible by three andnot being divisible by two,whereas its number of ayats does not cover this condition.Therefore,al-Anbiysurahisnothomogeneousinthisrespect.

    6 Al-Enm 165

    The number of ayats of al-Enm surah meets theconditionof divisible by three andnot being divisible by two,whereas its sequence number does not cover this condition.Therefore,al-Enmsurahisnothomogeneousinthisrespect.

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    BinarySymmetricBook ddrr..eenngg..hhaalliissaayyddeemmiirr

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    TTTThesetofsurahswhicharehomogeneouswithregardtohesetofsurahswhicharehomogeneouswithregardtohesetofsurahswhicharehomogeneouswithregardtohesetofsurahswhicharehomogeneouswithregardtodivisibilitybydivisibilitybydivisibilitybydivisibilitybythreethreethreethreeandnotbandnotbandnotbandnotbeeeeingdivisiblebyingdivisiblebyingdivisiblebyingdivisiblebytwotwotwotwoofofofofthesequencenumbersandthenumberofayats.thesequencenumbersandthenumberofayats.thesequencenumbersandthenumberofayats.thesequencenumbersandthenumberofayats.

    No.No.No.No. SurSurSurSurahahahah AyatAyatAyatAyat No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat

    1 Al-Ftia 7 58 Al-Mujdalah 222 Al-Baqarah 286 59 Al-ashr 244 Al-Nis 176 60 Al-Mumtainah 135

    Al-Midah

    120

    61

    Al-aff

    147 Al-Arf 206 62 Al-Jumuah 119999 Al-Tawbah 129129129129 64 Al-Taghbun 1810 Ynus 109 65 Al-alq 1213 Al-Rad 43 66 Al-Tarm 1214 Ibrhm 52 67 Al-Mulk 3015151515 Al-ijr 99999999 68 Al-Qalam 5216 Al-Nal 128 70 Al-Marij 4418 Al-Kahf 110 71 N 2819 Maryam 98 72 Al-Jinn 2822 Al-ajj 78 73 Al-Muzzammil 2023 Al-Muminn 118 74 Al-Muddaththir 5624 Al-Nr 64 76 Al-Insn 3125 Al-Furqn 77 77 Al-Mursalt 5026 Al-Shuar 227 78 Al-Naba 4027272727 Al-Naml 93939393 79 Al-Nzit 4628 Al-Qaa 88 80 Abasa 4230 Al-Rm 60 82 Al-Infir 1931 Luqmn 34 83 Al-Muaffifn 3632 Al-Sajdah 30 84 Al-Inshiqq 2534 Saba 54 85 Al-Burj 2236 Ysn 83 86 Al-riq 1737 Al-afft 182 88 Al-Ghshiyah 2638 d 88 89 Al-Fajr 3039393939 Al-Zumar 75757575 90 Al-Balad 2040 Al-Mumin 85 94 Al-Inshir 841 Fuilat 54 95 Al-Tn 8

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    Thenumberswhicharedividedbythreeandnotdividedbytwo

    153

    42 Al-Shr 53 96 Al-Alaq 1943 Al-Zukhruf 89 97 Al-Qadr 544 Al-Dukhn 59 98 Al-Bayyinah 846 Al-Aqf 35 100 Al-diyt 1147 Muammad 38 101 Al-Qriah 1148 Al-Fat 29 102 Al-Takthur 849 Al-ujurt 18 106 Quraysh 452 Al-r 49 107 Al-Mn 753 Al-Najm 62 109 Al-Kfirn 654 Al-Qamar 55 112 Al-Ikhl 455

    Al-Ramn

    78

    113

    Al-Falaq

    556 Al-Wqiah 96 114 Al-Ns 6

    List-70Thereare84848484surahsinList-70Letshavealookathowmanyofthesesurahstakeplacein

    thefirsthalfandhowmanyofthemarecontainedinthesecondhalfoftheHolyQurn:

    ThesurahsexistinthefirsthalfoftheHolyThesurahsexistinthefirsthalfoftheHolyThesurahsexistinthefirsthalfoftheHolyThesurahsexistinthefirsthalfoftheHolyQurnQurnQurnQurnwhicharehomogeneouswithregardtodivisibilitybywhicharehomogeneouswithregardtodivisibilitybywhicharehomogeneouswithregardtodivisibilitybywhicharehomogeneouswithregardtodivisibilitybythreethreethreethreeandnotbandnotbandnotbandnotbeeeeingdivisiblebyingdivisiblebyingdivisiblebyingdivisiblebytwotwotwotwoofthesequenceofthesequenceofthesequenceofthesequencenumbersandthenumberofayatnumbersandthenumberofayatnumbersandthenumberofayatnumbersandthenumberofayats.s.s.s.

    No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat

    1 Al-Ftia 7 31 Luqmn 342 Al-Baqarah 286 32 Al-Sajdah 304 Al-Nis 176 34 Saba 545 Al-Midah 120 36 Ysn 837 Al-Arf 206 37 Al-afft 1829999 Al-Tawbah 129129129129 38 d 8810 Ynus 109 39393939 Al-Zumar 7575757513 Al-Rad 43 40 Al-Mumin 8514 Ibrhm 52 41 Fuilat 5415151515 Al-ijr 99999999 42 Al-Shr 5316 Al-Nal 128 43 Al-Zukhruf 89

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    18 Al-Kahf 110 44 Al-Dukhn 5919 Maryam 98 46 Al-Aqf 3522 Al-ajj 78 47 Muammad 3823 Al-Muminn 118 48 Al-Fat 2924 Al-Nr 64 49 Al-ujurt 1825 Al-Furqn 77 52 Al-r 4926 Al-Shuar 227 53 Al-Najm 6227272727 Al-Naml 93939393 54 Al-Qamar 5528 Al-Qaa 88 55 Al-Ramn 7830 Al-Rm 60 56 Al-Wqiah 96

    List-71Thereare42424242surahsinList-71

    ThesurahsexistinThesurahsexistinThesurahsexistinThesurahsexistinthethethethesecondsecondsecondsecondhalfoftheHolyhalfoftheHolyhalfoftheHolyhalfoftheHolyQurnQurnQurnQurnwhicharehomogeneouswithregardtodivisibilitybywhicharehomogeneouswithregardtodivisibilitybywhicharehomogeneouswithregardtodivisibilitybywhicharehomogeneouswithregardtodivisibilitybythreethreethreethreeandnotbandnotbandnotbandnotbeeeeingdivisiblebyingdivisiblebyingdivisiblebyingdivisiblebytwotwotwotwoofthesequenceofthesequenceofthesequenceofthesequencenumbersandthenumberofayats.numbersandthenumberofayats.numbersandthenumberofayats.numbersandthenumberofayats.

    No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat58 Al-Mujdalah 22 83 Al-Muaffifn 3659 Al-ashr 24 84 Al-Inshiqq 2560 Al-Mumtainah 13 85 Al-Burj 2261 Al-aff 14 86 Al-riq 1762 Al-Jumuah 11 88 Al-Ghshiyah 2664 Al-Taghbun 18 89 Al-Fajr 3065 Al-alq 12 90 Al-Balad 2066 Al-Tarm 12 94 Al-Inshir 867 Al-Mulk 30 95 Al-Tn 868 Al-Qalam 52 96 Al-Alaq 1970 Al-Marij 44 97 Al-Qadr 571 N 28 98 Al-Bayyinah 872 Al-Jinn 28 100 Al-diyt 1173 Al-Muzzammil 20 101 Al-Qriah 1174

    Al-Muddaththir56

    102

    Al-Takthur876 Al-Insn 31 106 Quraysh 4

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    Thenumberswhicharedividedbythreeandnotdividedbytwo

    155

    77 Al-Mursalt 50 107 Al-Mn 778 Al-Naba 40 109 Al-Kfirn 679 Al-Nzit 46 112 Al-Ikhl 480 Abasa 42 113 Al-Falaq 582 Al-Infir 19 114 Al-Ns 6

    List-72Thereare42424242surahsinList-72

    Figure-12Theequaldistributionofthehomogeneoussurahsisseen.

    EvaluationEvaluationEvaluationEvaluation

    The surahs which are homogeneous with regard to divisibility by threeand not being divisible by two of the sequence numbers and the number of ayats aredistributed in equal numbers in the first and second half ofQuran.

    What about the non-homogeneous surahs?Now,letsexaminethenon-homogeneoussurahswiththe

    sameapproach.

    84 42 42

    Homogenoussurahs

    Thenumberof

    homogenoussurahs

    whichareincluded

    inthefirsthalfof

    theHolyQur'n

    Thenumberof

    homogenoussurahs

    whichareincludedin

    thesecondhalfofthe

    HolyQur'n

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    TTTThesetofsurahswhicharehesetofsurahswhicharehesetofsurahswhicharehesetofsurahswhicharenonnonnonnon----homogeneouswithhomogeneouswithhomogeneouswithhomogeneouswithregardtodivisibilitybyregardtodivisibilitybyregardtodivisibilitybyregardtodivisibilitybythreethreethreethreeandnotbandnotbandnotbandnotbeeeeingingingingdivisiblebydivisiblebydivisiblebydivisiblebytwotwotwotwoofthesequencenumbersandthenumberofayats.ofthesequencenumbersandthenumberofayats.ofthesequencenumbersandthenumberofayats.ofthesequencenumbersandthenumberofayats.

    No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat

    3333 lImrn 200 63636363 Al-Munfiqn 116 Al-Enm 165165165165 69696969 Al-qqah 528 Al-Anfl 75757575 75757575 Al-Qiymah 4011

    Hd

    123123123123

    81818181

    Al-Takwr

    2912 Ysuf 111111111111 88887777 Al-Al 19

    17 Al-Isr 111111111111 91 Al-Shams 1515151520 h 135135135135 92 Al-Layl 2121212121212121 Al-Anbiy 112 93939393 Al-ua 1129 Al-Ankabt 69696969 99999999 Al-Zilzl 833333333 Al-Azb 73 103 Al-Asr 333335 Fir 45454545 104 Al-Humaza 999945454545 Al-Jthiyah 37 105105105105 Al-Fl 550 Qf 45454545 108 Al-Kawthar 333351515151 Al-Dhriyt 60 110 Al-Nar 333357575757 Al-add 29 111111111111 Tabbat 5

    List-73Thereare30303030surahsinList-73Letshavealookathowmanyofthesesurahstakeplacein

    thefirsthalfandhowmanyofthemarecontainedinthesecondhalfoftheHolyQurn:

    ThesurahswhicharecontainedinthefirsthalfoftheThesurahswhicharecontainedinthefirsthalfoftheThesurahswhicharecontainedinthefirsthalfoftheThesurahswhicharecontainedinthefirsthalfoftheQurnQurnQurnQurn,andregardedasnon,andregardedasnon,andregardedasnon,andregardedasnon----homogeneoushomogeneoushomogeneoushomogeneouswithrespectwithrespectwithrespectwithrespecttodivisibilitybytodivisibilitybytodivisibilitybytodivisibilitybythreethreethreethreeandnotbeingdivisiblebyandnotbeingdivisiblebyandnotbeingdivisiblebyandnotbeingdivisiblebytwotwotwotwoofofofofthesequencenumbersandthenumberofayats:thesequencenumbersandthenumberofayats:thesequencenumbersandthenumberofayats:thesequencenumbersandthenumberofayats:

    No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat

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    Thenumberswhicharedividedbythreeandnotdividedbytwo

    157

    3333 lImrn 200 29 Al-Ankabt 696969696 Al-Enm 165165165165 33333333 Al-Azb 738 Al-Anfl 75757575 35 Fir 4545454511 Hd 123123123123 45454545 Al-Jthiyah 3712 Ysuf 111111111111 50 Qf 4545454517 Al-Isr 111111111111 51515151 Al-Dhriyt 6020 h 135135135135 57575757 Al-add 2921212121 Al-Anbiy 112

    List-74Thereare15151515surahsinList-74

    ThesurahswhicharecontainedintheThesurahswhicharecontainedintheThesurahswhicharecontainedintheThesurahswhicharecontainedinthesecondsecondsecondsecondhalfofthehalfofthehalfofthehalfoftheQurnQurnQurnQurn,andregardedasnon,andregardedasnon,andregardedasnon,andregardedasnon----homogeneoushomogeneoushomogeneoushomogeneouswithrespectwithrespectwithrespectwithrespecttodivisibilitybytodivisibilitybytodivisibilitybytodivisibilitybythreethreethreethreeandnotbeingdivisiblebyandnotbeingdivisiblebyandnotbeingdivisiblebyandnotbeingdivisiblebytwotwotwotwoofofofofthesequencenumbersandthenumberofayats:thesequencenumbersandthenumberofayats:thesequencenumbersandthenumberofayats:thesequencenumbersandthenumberofayats:

    No.No.No.No. SSSSurahurahurahurah AyatAyatAyatAyat No.No.No.No. SurahSurahSurahSurah AyatAyatAyatAyat

    63636363 Al-Munfiqn 11 99999999 Al-Zilzl 869696969 Al-qqah 52 103 Al-Asr 333375757575 Al-Qiymah 40 104 Al-Humaza 999981818181 Al-Takwr 29 105105105105 Al-Fl 587878787 Al-Al 19 108 Al-Kawthar 333391 Al-Shams 15151515 110 Al-Nar 333392 Al-Layl 21212121 111111111111 Tabbat 593939393

    Al-ua11

    List-75

    Thereare15151515surahsinList-75

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    158

    Figure-13Theequaldistributionofthenon-homogeneoussurahsisseen.

    EvaluationEvaluationEvaluationEvaluation

    The surahs which are not homogeneous with regard to divisibility bythree and not being divisible by two of the sequence numbers and the number ofayats are also distributed in equal numbers in the first and second half ofQuran.

    Letsseetheresultswhichoutcomecollectively:

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    Thenumberswhicharedividedbythreeandnotdividedbytwo

    159

    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 120

    6 A l - E n m165

    7 A l - A r f 2068 A l - A n f l 759 A l - T a w b a h 129

    10 Y n u s 10911 H d 123

    12 Y s u f 111

    13 A l - R a d 4314 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 30

    33 A l - A z b 7334 S a b a 5435 F i r 45

    36 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 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 29

    58 A l - M u j d a l a h 22

    59 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 A 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 2982 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 22

    86 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 3

    104 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 3

    109 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

    X

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    metricdistributionofthehomogenousandnon-homogenoussurahstothefirstandsecondha

    lfoftheQur'anisshown.

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