decoding the quran using prime numbers

Decoding the QuranDecoding the Quranusing Prime Numbersusing Prime Numbers

Ali AdamsAli Adams20102010ADAD | | 14311431AHAH

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22Ali AdamsAli Adams Version 1.07 Version 1.07

OverviewOverviewResearch GoalResearch GoalPrime NumbersPrime Numbers

Mystery and HistoryMystery and History

Quran StructureQuran StructureChaptersChapters and and VersesVersesKeyKey andand MessageMessageKey Chapter Key Chapter andand Verses Verses

Numerology SystemsNumerology SystemsOriginal Original AbjedAbjed System SystemNewNew PrimalogyPrimalogy System System

Research FindingsResearch FindingsPV of the PV of the KeyKey Chapter ( Chapter (الفاتحةالفاتحة))PV of the PV of the UnityUnity Chapter ( Chapter (اإلخالصاإلخالص))SecretSecret of the of the MercifulMerciful Verse ( Verse ( ربكما ءاالء ربكما فبأي ءاالء تكذبانتكذبان فبأي ))

Further ResearchFurther ResearchSkipping, Shifting, Matrix SearchSkipping, Shifting, Matrix Search MethodsMethods


Research GoalResearch GoalPrevious research into the Quran and numbers by Previous research into the Quran and numbers by other people used aother people used a singlesingle numbernumber that was that was chosen by themchosen by them to support their assumptions. to support their assumptions.

Their goal was to Their goal was to prove the Quran’s authenticityprove the Quran’s authenticity..

My research is based on My research is based on multiplemultiple numbersnumbers that that areare chosen by Godchosen by God, , namely prime numbers.namely prime numbers.

My goal is toMy goal is to decode the Quran Messagedecode the Quran Message using using prime numbers as shown in the prime numbers as shown in the Key ChapterKey Chapter..


Prime NumbersPrime NumbersOur natural numbers are Our natural numbers are 11, , 22, , 33, , 44, , 55, , 66, , 77, , 88, , 99, , 1010, …, …

A A prime numberprime number is a natural number that has is a natural number that hastwo unique divisors, 1 and itself only.two unique divisors, 1 and itself only.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43,2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43,47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, …47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, …

A A composite numbercomposite number is a natural number that is the is a natural number that is the product of multiplying prime numbers.product of multiplying prime numbers.

4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 44, 45, 46, 48, 49, 50, 51, 52, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 100, …100, …

11 is the is the UnitUnit for building all natural numbers. for building all natural numbers.


Building BlocksBuilding Blocks11 is the additive building block for all natural numbers: is the additive building block for all natural numbers:

33 = = 11 + + 11 + + 11 88 = = 11 + + 11 + + 11 + + 11 + + 11 + + 11 + + 11 + + 11

PrimePrime numbersnumbers are the multiplicative building blocks are the multiplicative building blocksfor all natural numbers:for all natural numbers:

77 = = 77 88 = = 22 * * 22 * * 22 99 = = 33 * * 33 2929 = = 2929 5151 = = 33 * * 1717 139139 = = 139139

CompositeComposite numbersnumbers are products of multiplying prime are products of multiplying prime numbers in one unique way only:numbers in one unique way only:

1212 = = 22 * * 22 * * 33 9191 = = 77 * * 1313


Distribution MysteryDistribution MysteryDistribution of Distribution of primesprimes within the natural numbers within the natural numbers isis mysteriousmysterious and hasand has no mathematical formulano mathematical formula

except it isexcept it is diminishingdiminishing as numbers go up:as numbers go up:

NN Number of PrimesNumber of Primes RatioRatio

1010 44 40.040.0 % %

100100 2525 25.025.0 % %

1,0001,000 168168 16.816.8 % %

1,000,0001,000,000 78,49878,498 7.97.9 % %

1,000,000,0001,000,000,000 50,847,53450,847,534 5.15.1 % %

1,000,000,000,0001,000,000,000,000 37,607,912,01837,607,912,018 3.83.8 % %

1,000,000,000,000,0001,000,000,000,000,000 29,844,570,422,66929,844,570,422,669 3.03.0 % %

1,000,000,000,000,000,0001,000,000,000,000,000,000 24,739,954,287,740,86024,739,954,287,740,860 2.52.5 % %


Primes HistoryPrimes HistoryIn ~300BC Euclid proved that the diminishing of prime numbers never stops and there are infinite number of prime numbers.

In ~230BC Eratosthenes developed a sieve method for finding prime numbers below any number N by sequentially removing all numbers that are multiple of prime numbers below the square root of N.

In 1793 In 1793 CarlCarl GaussGauss claimed that the claimed that the densitydensity of of prime numbers is inversely proportional to the prime numbers is inversely proportional to the natural log of N: natural log of N: 1 / 1 / ln(N)ln(N)..


Quran StructureQuran StructureQuran has Quran has 114114 chapters. chapters.

The The 114114 chapters have chapters have 62366236 verses distributed verses distributed as follows:as follows:

7 + 286 + 200 + 176 + 120 + 165 + 206 + 75 + 129 + 109 + 123 + 7 + 286 + 200 + 176 + 120 + 165 + 206 + 75 + 129 + 109 + 123 + 111 + 43 + 52 + 99 + 128 + 111 + 110 + 98 + 135 + 112 + 78 + 118 111 + 43 + 52 + 99 + 128 + 111 + 110 + 98 + 135 + 112 + 78 + 118 + 64 + 77 + 227 + 93 + 88 + 69 + 60 + 34 + 30 + 73 + 54 + 45 + 83 + 64 + 77 + 227 + 93 + 88 + 69 + 60 + 34 + 30 + 73 + 54 + 45 + 83 + 182 + 88 + 75 + 85 + 54 + 53 + 89 + 59 + 37 + 35 + 38 + 29 + 18 + 182 + 88 + 75 + 85 + 54 + 53 + 89 + 59 + 37 + 35 + 38 + 29 + 18 + 45 + 60 + 49 + 62 + 55 + 78 + 96 + 29 + 22 + 24 + 13 + 14 + 11 + + 45 + 60 + 49 + 62 + 55 + 78 + 96 + 29 + 22 + 24 + 13 + 14 + 11 + 11 + 18 + 12 + 12 + 30 + 52 + 52 + 44 + 28 + 28 + 20 + 56 + 40 + 11 + 18 + 12 + 12 + 30 + 52 + 52 + 44 + 28 + 28 + 20 + 56 + 40 + 31 + 50 + 40 + 46 + 42 + 29 + 19 + 36 + 25 + 22 + 17 + 19 + 26 + 31 + 50 + 40 + 46 + 42 + 29 + 19 + 36 + 25 + 22 + 17 + 19 + 26 + 30 + 20 + 15 + 21 + 11 + 8 + 8 + 19 + 5 + 8 + 8 + 11 + 11 + 8 + 3 + 30 + 20 + 15 + 21 + 11 + 8 + 8 + 19 + 5 + 8 + 8 + 11 + 11 + 8 + 3 +

9 + 5 + 4 + 7 + 3 + 6 + 3 + 5 + 4 + 5 + 69 + 5 + 4 + 7 + 3 + 6 + 3 + 5 + 4 + 5 + 6 = = 62366236 verses. verses.


Key and MessageKey and Message114114 and and 62366236 are composites but: are composites but:

AllahAllah sayssays to theto the Prophet MohammedProphet Mohammed ((pbuh&fpbuh&f))in Quran 15:87:in Quran 15:87:

““We’ve given you seven of the doubles and the great Quran.“We’ve given you seven of the doubles and the great Quran.“ والقرءان ““ المثاني من سبعا� ءاتينك والقرءان ولقد المثاني من سبعا� ءاتينك ولقد

““العظيمالعظيم The The seven doublesseven doubles are explained by the Prophet are explained by the Prophet ((pbuh&fpbuh&f)) as the as the

seven verses of the Keyseven verses of the Key chapter chapterand therefore I suggest:and therefore I suggest:

QuranQuran == KeyKey ++ MessageMessage

Chapters:Chapters: 114114 == 11 ++ 113113 primesprimes

Verses:Verses: 62366236 == 77 ++ 62296229 primesprimes


1 بسم الله الرحمن الرحيم2 الحمد لله رب العلمين

3 الرحمن الرحيم4 ملك يوم الدين

5 إياك نعبد وإياك نستعين6 اهدنا الصرط المستقيم

صرط الذين أنعمت عليهم غير المغضوب 7 عليهم وال الضآلين

The Key ChapterThe Key ChapterThe The KeyKey chapter ( chapter ( الفاتحةالفاتحة ) in the Quran has) in the Quran has::77 verses, verses, 2929 words and words and 139139 letters. letters.All are All are prime numbersprime numbers..

The sums of their digits are also The sums of their digits are also primesprimes7 = 7 = 77, 2+9 = , 2+9 = 1111, 1+3+9 = , 1+3+9 = 1313

And the sum of these sumsAnd the sum of these sumsis is primeprime too: 7 + 11 + 13 = too: 7 + 11 + 13 = 3131






The Key VersesThe Key VersesLetters in each verse: Letters in each verse: 1919, , 1717, , 1212, , 1111, , 1919, , 1818, , 4343

1919, , 1717, , 1111, , 1919 and and 4343 are are primesprimes..

12 12 andand 18 18 are are compositescomposites but when but whenadded to added to either sideeither side the results are the results are primesprimes::

1717++12 12 = = 2929 1212++11 11 = = 2323

1919++18 18 = = 3737 1818++43 43 = = 6161

It is suggested thatIt is suggested that paired verses paired verses complete each other’s meaningcomplete each other’s meaningas in as in 22 & & 33 and and 66 & & 77..


Numerology SystemNumerology System

400400 تت 6060 سس 88 حح 11 اا500500 ثث 7070 عع 99 طط 22 بب600600 خخ 8080 فف 1010 يي 33 جج700700 ذذ 9090 صص 2020 كك 44 دد800800 ضض 100100 قق 3030 لل 55 هه900900 ظظ 200200 رر 4040 مم 66 وو

10001000 غغ 300300 شش 5050 نن 77 زز

The The originaloriginal numerology system numerology system assigns assigns logarithmic valueslogarithmic values to Arabic letters in the to Arabic letters in theAbjedAbjed orderorder..

Hemza ( Hemza ( ءء ) is ) is considered asconsidered asan elf ( an elf ( اا ).).


Primalogy SystemPrimalogy System

7979 كك 4747 ضض 1919 دد 22 اا8383 لل 5353 طط 2323 ذذ 33 بب8989 مم 5959 ظظ 2929 رر 55 تت9797 نن 6161 عع 3131 زز 77 ثث

101101 هه 6767 غغ 3737 سس 1111 جج103103 وو 7171 فف 4141 شش 1313 حح107107 يي 7373 قق 4343 صص 1717 خخ

Our Our newnew Primalogy SystemPrimalogy System assigns assigns prime valuesprime values to the Arabic letters in anto the Arabic letters in an alphabeticalphabetic order. order.

Hemza ( Hemza ( ءء ) is ) is assigned assigned 11 as it as it precedes elf ( precedes elf ( اا ).).This system will This system will be used to find be used to find PPrimalogy rimalogy VValues alues of Quranic text.of Quranic text.


Research FindingsResearch FindingsPV of the Key chapter (PV of the Key chapter (الفاتحةالفاتحة):):

1.1. 3+37+89 2+83+83+101 2+83+29+13+89+97 2+83+29+13+107+893+37+89 2+83+83+101 2+83+29+13+89+97 2+83+29+13+107+89

2.2. 2+83+13+89+19 83+83+101 29+3 2+83+61+83+89+107+972+83+13+89+19 83+83+101 29+3 2+83+61+83+89+107+97

3.3. 2+83+29+13+89+97 2+83+29+13+107+892+83+29+13+89+97 2+83+29+13+107+89

4.4. 89+83+79 107+103+89 2+83+19+107+9789+83+79 107+103+89 2+83+19+107+97

5.5. 2+107+2+79 97+61+3+19 103+2+107+2+79 97+37+5+61+107+972+107+2+79 97+61+3+19 103+2+107+2+79 97+37+5+61+107+97

6.6. 2+101+19+97+2 2+83+43+29+53 2+83+89+37+5+73+107+892+101+19+97+2 2+83+43+29+53 2+83+89+37+5+73+107+89

7.7. 43+29+53 2+83+23+107+97 43+29+53 2+83+23+107+97 2+97+61+89+5 61+83+107+101+892+97+61+89+5 61+83+107+101+8967+107+29 2+83+89+67+47+103+367+107+29 2+83+89+67+47+103+361+83+107+101+89 103+83+2 2+83+47+2+83+107+9761+83+107+101+89 103+83+2 2+83+47+2+83+107+97

PV TotalPV Total = = 83178317 is is primeprime

Digit sum Digit sum 88++33++11++7 7 = = 1919 is is primeprime






Research FindingsResearch FindingsThe Key ChapterThe Key Chapter Digit SumDigit Sum

VersesVerses 77 7 = 7 = 77

WordsWords 2929 2+9 = 2+9 = 1111

LettersLetters 139139 1+3+9 = 1+3+9 = 1313

Primalogy ValuePrimalogy Value 83178317 8+3+1+7 = 8+3+1+7 = 1919

All are All are prime numbersprime numbers and their and their digit sums are digit sums are prime numbersprime numbers too. too.

وبحمده الله وبحمده سبحن الله سبحن






Research FindingsResearch FindingsPV of the Unity chapter (PV of the Unity chapter (اإلخالصاإلخالص):):3+37+89 2+83+83+101 2+83+29+13+89+97 2+83+29+13+107+893+37+89 2+83+83+101 2+83+29+13+89+97 2+83+29+13+107+89

1.1. 73+83 101+103 2+83+83+101 2+13+1973+83 101+103 2+83+83+101 2+13+19

2.2. 2+83+83+101 2+83+43+89+192+83+83+101 2+83+43+89+19

3.3. 83+89 107+83+19 103+83+89 107+103+83+1983+89 107+83+19 103+83+89 107+103+83+19

4.4. 103+83+89 107+79+97 83+101 79+71+103+2 2+13+19103+83+89 107+79+97 83+101 79+71+103+2 2+13+19

PV PV withwith Bism Bism AllahAllah = = 42014201 is is primeprime

Digit sum Digit sum 44++22++00++11 = = 77 is is primeprime

PV PV withoutwithout Bism Bism AllahAllah = = 31673167 is is primeprime

Digit sum Digit sum 33++11++66++77 = = 1717 is is primeprime


بسم الله الرحمن الرحيم1 قل هو الله أحد

2 الله الصمد3 لم يلد ولم يولد

4 ولم يكن له كفو�ا أحد


Research FindingsResearch Findings Secret of the Merciful VerseSecret of the Merciful Verse The four-worded verse of The four-worded verse of ““ تكذبان ربكما ءاالء تكذبان فبأي ربكما ءاالء ””فبأي

““What other bounties of your Sustainer do you still belie?” What other bounties of your Sustainer do you still belie?”

is repeated is repeated 3131 times in the Merciful chapter. times in the Merciful chapter. primeprime

The sum of its repeated verse numbers is: The sum of its repeated verse numbers is: 13+16+18+21+23+25+28+30+32+34+36+38+40+42+45+47+13+16+18+21+23+25+28+30+32+34+36+38+40+42+45+47+49+51+53+55+57+59+61+63+65+67+69+71+73+75+7749+51+53+55+57+59+61+63+65+67+69+71+73+75+77 = = 14331433 primeprime

Digit sumDigit sum 11++44++33++33 = = 1111 primeprime

PPrimalogy Value of this Verse is:rimalogy Value of this Verse is:71+3+2+107 1+2+83+2+1 29+3+79+89+2 5+79+23+3+2+9771+3+2+107 1+2+83+2+1 29+3+79+89+2 5+79+23+3+2+97 = = 683683 primeprime

Digit sumDigit sum 66++88++33 = = 1717 primeprime



Research FindingsResearch Findings Event DatesEvent Dates The sum of the verse numbers of the four-worded verse The sum of the verse numbers of the four-worded verse

((““ تكذبان ربكما ءاالء تكذبان فبأي ربكما ءاالء ..is is 14331433 ( (””فبأي

1433 1433 refers torefers to 1433 1433AHAH (After Hijra) (After Hijra) becausebecause::the Merciful chapter has the Merciful chapter has 355 words355 words including bismAllah. including bismAllah.a Hijri year is lunar year and therefore has 354 or 355 daysa Hijri year is lunar year and therefore has 354 or 355 days ..

the year the year 14331433AH AH has exactly has exactly 355 days355 days..DDays of month = { 30, 29, 30, 30, 29, 30, 30, 29, 30, 29, 30, 29 }ays of month = { 30, 29, 30, 30, 29, 30, 30, 29, 30, 29, 30, 29 }

The The firstfirst Merciful verse occurs at words Merciful verse occurs at words 44,45,46,4744,45,46,47.. The The 4444thth day of the year day of the year 14331433AH AH isis 07 Jan 201207 Jan 2012..

The The lastlast Merciful verse occurs at words Merciful verse occurs at words 346,347,348,349346,347,348,349..

The The 349349thth day of the year day of the year 14331433AH AH isis 07 Nov 201207 Nov 2012..


Research FindingsResearch FindingsEvents NatureEvents Nature

14331433AHAH is less than is less than 22 years away. years away. 3131 times times a a four-day eventfour-day event will will repeatrepeat itself (Quran itself (Quran 44:1044:10 & & 44:1544:15))

before abefore a BIGBIG e eventvent onon 21 December 201221 December 2012 (Quran (Quran 44:1644:16) inshA.) inshA.

Quran 44:10Quran 44:10 ““ يوم يوم فارتقب بدخان فارتقب السماء بدخان تأتى السماء مبين مبين تأتى ””““Look out for a day when theLook out for a day when the sky brings clarifying smokesky brings clarifying smoke.”.”

Quran 44:15 Quran 44:15 ““ إنكم قليال العذاب كاشفوا إنكم إنا قليال العذاب كاشفوا عائدونعائدونإنا ””““We are lifting the punishment a little butWe are lifting the punishment a little but you will be back you will be back.”.”

Quran 44:16 Quran 44:16 ““ نبطش نبطش يوم الكبرى يوم الكبرى البطشة منتقمون البطشة منتقمون إنا إنا ””““On a day when we seize you with On a day when we seize you with a mighty onslaughta mighty onslaught: We are taking revenge: We are taking revenge.”.”

_____________________________________________________________Quran 36:37Quran 36:37 suggests that sunlight will be blocked out for a long time. suggests that sunlight will be blocked out for a long time.

““ لهم لهم وءاية منه اليلاليلوءاية منه نسلخ هم النهارالنهارنسلخ هم فإذا مظلمونمظلمونفإذا ”” ““And a sign for them the And a sign for them the nightnight We peel We peel daylightdaylight out of it out of it

and they are unexpectedly plunged into and they are unexpectedly plunged into darknessdarkness.”.”


Research FindingsResearch Findings Event LocationsEvent Locations In In four days four days the Earth spins four times on its own axis.the Earth spins four times on its own axis. If the If the 3131 events events were meteorite showers (Sijjil stones) were meteorite showers (Sijjil stones)

then each event would sweep around the Earth around then each event would sweep around the Earth around a complete latitude circle four times.a complete latitude circle four times.

The The 3131 verse numbers from verse numbers from 1313 to to 7777 are exactly at the are exactly at the middle of the middle of the 0˚ to ˚ to 90˚ range for latitude values.˚ range for latitude values.

The The 3131 verse numbers could be the verse numbers could be the latitude numberslatitude numbers for the for the 3131 events events of 2012:of 2012:

13˚ 16˚ 18˚ 21˚ 23˚ 25˚ 28˚ 30˚ 32˚ 34˚ 36˚ 38˚ 40˚ 42˚ 13˚ 16˚ 18˚ 21˚ 23˚ 25˚ 28˚ 30˚ 32˚ 34˚ 36˚ 38˚ 40˚ 42˚ 45˚ 47˚ 49˚ 51˚ 53˚ 55˚ 57˚ 59˚ 61˚ 63˚ 65˚ 67˚ 69˚ 71˚ 45˚ 47˚ 49˚ 51˚ 53˚ 55˚ 57˚ 59˚ 61˚ 63˚ 65˚ 67˚ 69˚ 71˚ 73˚ 75˚ 77˚73˚ 75˚ 77˚

Allah knows best and controls allAllah knows best and controls all


Research FindingsResearch Findings Latitudes and Start DatesLatitudes and Start Dates


Research FindingsResearch FindingsNot the End of the WorldNot the End of the World

Arranging the numbers of the Merciful verse right-to-left yields a Arranging the numbers of the Merciful verse right-to-left yields a 62-digit number that is 62-digit number that is only divisible byonly divisible by 77::

7775737169676563615957555351494745424038363432302825232118161377757371696765636159575553514947454240383634323028252321181613 = = 77 * *1110819595668080516565365050213535060576909061757546461731165911108195956680805165653650502135350605769090617575464617311659

Separating the new 62-digit Separating the new 62-digit primeprime number into number into 3131 2-digit numbers 2-digit numbers and summing them up yields prime result with prime digit sum:and summing them up yields prime result with prime digit sum:

11+10+81+95+95+66+80+80+51+65+ 65+36+50+50+21+11+10+81+95+95+66+80+80+51+65+ 65+36+50+50+21+35+35+06+05+76+90+90+61+75+75+46+46+17+31+16+59 35+35+06+05+76+90+90+61+75+75+46+46+17+31+16+59 == 16191619 primeprime

and its digit sum 1+6+1+9and its digit sum 1+6+1+9 = = 1717primeprime

Future generations Future generations watch outwatch out for the year for the year 16191619AHAH | | 21922192ADAD


Further ResearchFurther Research Prime Skipping Search MethodPrime Skipping Search Method Skip lettersSkip letters everyevery prime distanceprime distance.. Join letters to find hidden knowledge.Join letters to find hidden knowledge.

Prime Shifting Search MethodPrime Shifting Search Method Shift letters prime timesShift letters prime times depending on their depending on their

locations within words, verses or chapters.locations within words, verses or chapters. Join letters to find hidden knowledge.Join letters to find hidden knowledge.

Prime Matrix Search MethodPrime Matrix Search Method Arrange letters in a Arrange letters in a 3D matrix3D matrix of of prime dimensionsprime dimensions.. Join letters horizontally, vertically and diagonallyJoin letters horizontally, vertically and diagonally

in all directions to find hidden knowledge.in all directions to find hidden knowledge.


Further ResearchFurther ResearchIf our If our workwork is is for Allah’s sakefor Allah’s sake only then a only then a correct decoding methodcorrect decoding method will be revealed will be revealed to us in sha Allah just as Allah showed us to us in sha Allah just as Allah showed us the prime numbers pattern behind the Key the prime numbers pattern behind the Key chapter in the year 1429chapter in the year 1429AHAH..

الحمد لله رب العلمينAll praise is due to Allah alone.


ReferencesReferences

1.1. AllahAllah (Omnipotent, Omnipresent, Omniscience, …)(Omnipotent, Omnipresent, Omniscience, …)The Holy QuranThe Holy QuranCompilation : Compilation : HefsHefs from from AasimAasim from from Ali bin abi TalibAli bin abi Talib (pbuh).(pbuh).Writing method: Othmani.Writing method: Othmani.610-632610-632ADAD ( (23 years of revelations23 years of revelations from Allah through arch angel Gabriel from Allah through arch angel Gabriel (pbuh)(pbuh)to the Prophet Mohammed to the Prophet Mohammed (Allah’s blessings and greetings be upon him and his family)(Allah’s blessings and greetings be upon him and his family) ..

2.2. John DerbyshireJohn DerbyshirePrime ObsessionPrime Obsession: : Bernhard Riemann and the Greatest Unsolved Problem in MathematicsBernhard Riemann and the Greatest Unsolved Problem in MathematicsJoseph Henry Press, Joseph Henry Press, 20032003..

3.3. David WellsDavid WellsPrime NumbersPrime Numbers: : Most Mysterious Figures in MathMost Mysterious Figures in MathJohn Wiley & Sons, Inc. John Wiley & Sons, Inc. 20052005..

4.4. Daniel RockmoreDaniel RockmoreStalking the Riemann HypothesisStalking the Riemann Hypothesis: : The Quest to Find the Hidden Law of Prime NumbersThe Quest to Find the Hidden Law of Prime NumbersPantheon Books, Pantheon Books, 20052005..


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decoding the quran using prime numbers

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multiple of prime numbers

diminishing of prime

density of prime numbers

multiple numbers

composite numbers

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number n

natural log of n