The Mathematical Miracle of the Quran, (Appendix 1) - Part 1

of the Authorized English translation of the Quran

Part I

"One of the Great Miracles" [74:35]

The Quran is characterized by a unique phenomenon never found in any human authored book. Every element of the Quran is mathematically composed - the suras, the verses, the words, the number of certain letters, the number of words from the same root, the number and variety of divine names, the unique spelling of certain words, the absence or deliberate alteration of certain letters within certain words, and many other elements of the Quran besides its content. There are two major facets of the Quran's mathematical system: (1) The mathematical literary composition, and (2) The mathematical structure involving the numbers of suras and verses. Because of this comprehensive mathematical coding, the slightest distortion of the Quran's text or physical arrangement is immediately exposed.

Simple To Understand Impossible To Imitate

For the first time in history we have a scripture with built-in proof of divine authorship - a superhuman mathematical composition.

Any reader of this book can easily verify the Quran's mathematical miracle. The word "God" (Allah) is written in bold capital letters throughout the text. The cumulative frequency of occurrence of the word "God" is noted at the bottom of each page in the left hand corner. The number in the right hand corner is the cumulative total of the numbers for verses containing the word "God." The last page of the text, Page 372, shows that the total occurrence of the word "God" is 2698, or 19x142. The total sum of verse numbers for all verses containing the word "God" is 118123, also a multiple of 19 (118123 = 19x6217).

Nineteen is the common denominator throughout the Quran's mathematical system.

This phenomenon alone suffices as incontrovertible proof that the Quran is God's message to the world. No human being(s) could have kept track of 2698 occurrences of the word "God," and the numbers of verses where they occur. This is especially impossible in view of (1) the age of ignorance during which the Quran was revealed, and (2) the fact that the suras and verses were widely separated in time and place of revelation. The chronological order of revelation was vastly different from the final format (Appendix 23). However, the Quran's mathematical system is not limited to the word "God;" it is extremely vast, extremely intricate, and totally comprehensive.

The Simple Facts

Like the Quran itself, the Quran's mathematical coding ranges from the very simple, to the very complex. The Simple Facts are those observations that can be ascertained without using any tools. The complex facts require the assistance of a calculator or a computer. The following facts do not require any tools to be verified, but please remember they all refer to the original Arabic text:

1. The first verse (1:1),known as "Basmalah," consists of 19 letters.
2. The Quran consists of 114 suras, which is ..............19 x 6.
3. The total number of verses in the Quran is 6346, or ....19 x 334. [6234 numbered verses & 112 un-numbered verses (Basmalahs) 6234+112 = 6346] Note that 6+3+4+6 =.......19.
4. The Basmalah occurs 114 times, despite its conspicuous absence from Sura 9 (it occurs twice in Sura 27) & 114= 19x6.
5. From the missing Basmalah of Sura 9 to the extra Basmalah of Sura 27, there are precisely ...............19 suras.
6. It follows that the total of the sura numbers from 9 to 27 (9+10+11+12+...+26+27) is 342, or .............19 x 18.
7. This total (342) also equals the number of words between the two Basmalahs of Sura 27, and 342 = ........19 x 18.
8. The famous first revelation (96:1-5) consists of .......19 words.
9. This 19-worded first revelation consists of 76 letters .19 x 4.
10. Sura 96, first in the chronological sequence, consists of .....................................................19 verses.
11. This first chronological sura is placed atop the last ..19 suras.
12. Sura 96 consists of 304 Arabic letters, and 304 equals .19 x 16.
13. The last revelation (Sura 110) consists of ............19 words.
14. The first verse of the last revelation (110:1) consists of ................19 letters.
15. 14 different Arabic letters, form 14 different sets of "Quranic Initials" (such as A.L.M. of 2:1), and prefix 29 suras. These numbers add up to 14+14+29 = 57 = ......19 x 3.
16. The total of the 29 sura numbers where the Quranic Initials occur is 2+3+7+...+50+68 = 822, and 822+14 (14 sets of initials) equals 836, or ................. 19 x 44.
17. Between the first initialed sura (Sura 2) and the last initialed sura (Sura 68) there are 38 un-initialed suras 19 x 2.
18. Between the first and last initialed sura there are ....19 sets of alternating "initialed" and "un-initialed" suras.
19. The Quran mentions 30 different numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 19, 20, 30, 40, 50, 60, 70, 80, 99, 100, 200, 300, 1000, 2000, 3000, 5000, 50,000, & 100,000. The sum of these numbers is 162146, which equals 19x8534.

This is a condensed summary of the Simple Facts.

The Literary Mathematical Composition

The Quran is characterized
by a unique phenomenon never
found in any other book;
29 suras are prefixed with 14
different sets of "Quranic Initials,"
consisting of one to five letters
per set. Fourteen letters, half the
Arabic alphabet, participate in
these initials. The significance
of the Quranic initials remained
a divinely guarded secret for 14
centuries.

The Quran states in 10:20 and
25:4-6 that its miracle, i.e., proof
of divine authorship, was destined
to remain secret for a specific
predetermined interim:

"They said, "Why hasn't a miracle
come down to him from his Lord?"
Say, "Only God knows the. future.
Therefore, wait, and I will wait
along. with you.". [10:20]

"Those who disbelieved. said,
"This is no more. than a fabrication
by him,. with the help of other
people." Indeed, they uttered a
blasphemy; a. falsehood. Others
said, "Tales from the past that.
he wrote down; they were dictated
to him day and. night." Say,
"This was. sent down from the
One who. knows `the secret' in
the heavens and the earth." Surely,
He is Forgiving,. Most Merciful.
[25:4-6]

The Quranic Initials constitute a
major portion of the Quran's
19-based. mathematical miracle.

Tabel 1: List of the Quranic Initials
and Their Suras

No.Sura
No.
Sura TitleQuranic
Initials
12The HeiferA.L.M
23The AmramitesA.L.M
37The PurgatoryA.L.M.S.
410JonahA.L.R.
511HudA.L.R.
612JosephA.L.R
713ThunderA.L.M.R.
814AbrahamA.L.R.
915Al-Hijr ValleyA.L.R.
1019MaryK.H.Y.`A.S.
1120T.H.T.H.
1226The PoetsT.S.M.
1327The AntT.S.
1428HistoryT.S.M.
1529The SpiderA.L.M.
1630The RomansA.L.M.
1731LuqmaanA.L.M.
1832ProstrationA.L.M.
1936Y.S.Y.S.
2038S.S.
2140ForgiverH.M.
2241ElucidatedH.M.
2342ConsultationH.M.`A.S.Q.
2443OrnamentsH.M.
2544SmokeH.M.
2645KneelingH.M.
2746The DunesH.M.
2850Q.Q.
2968The PenNuN

Historical Background

In 1968, I realized that the existing English translations of the Quran did not present the truthful message of God's Final Testament. For example, the two most popular translators, Yusuf Ali and Marmaduke Pickthall, could not overcome their corrupted religious traditions when it came to the Quran's great criterion in 39:45.

"When God ALONE is mentioned, the hearts of those who do not believe in the Hereafter shrink with aversion. But when others are mentioned beside Him, they rejoice." [39:45]

Yusuf Ali omitted the crucial word "ALONE" from his translation, and altered the rest of the verse by inserting the word "(gods)." Thus, he utterly destroyed this most important Quranic criterion. He translated 39:45 as follows:

"When God, the One and Only, is mentioned, the hearts of those who believe not in the Hereafter are filled with disgust and horror; but when (gods) other than He are mentioned, behold, they are filled with joy." [39:45] (according to A. Yusuf Ali)

The expression "When God, the One and Only, is mentioned," is not the same as saying, "When God alone is mentioned." One can mention "God, the One and Only," and also mention Muhammad or Jesus, and no one will be upset. But if "God ALONE is mentioned," you cannot mention anyone else, and a lot of people - those who idolize Muhammad or Jesus - will be upset. Thus, Yusuf Ali could not bring himself to present the truth of the Quran, if it exposed his corrupted belief.

Marmaduke Pickthall translated "ALONE" correctly, but destroyed the criterion by inserting his personal belief in parentheses; he translated 39:45 as follows:

"And when Allah alone is mentioned, the hearts of those who believe not in the Hereafter are repelled, and when those (whom they worship) beside Him are mentioned, behold! they are glad." [39:45] (according to Marmaduke Pickthal)

When I saw the truth of God's word thus distorted, I decided to translate the Quran, at least for the benefit of my own children. Since I was a chemist by profession, and despite my extensive religious background - my father was a renowned Sufi leader in Egypt - I vowed to God that I would not move from one verse to the next unless I fully understood it.

I purchased all the available books of Quranic translations and exegeses (Tafseer) I could find, placed them on a large table, and began my translation. The first sura, The Key, was completed in a few days. The first verse in Sura 2 is "A.L.M." The translation of this verse took four years, and coincided with the divine unveiling of "the secret," the great mathematical Miracle of the Quran.

The books of Quranic exegeses unanimously agreed that "no one knows the meaning or significance of the Quranic Initials A.L.M., or any other initials." I decided to write the Quran into the computer, analyze the whole text, and see if there were any mathematical correlations among these Quranic initials.

I used a time-share terminal, connected by telephone to a giant computer. To test my hypothesis, I decided to look at the single - lettered Quranic Initials -"Q" (Qaaf) of Suras 42 and 50, "S" (Saad) of Suras 7, 19, and 38, and "N" (Noon) of Sura 68. As detailed in my first book MIRACLE OF THE QURAN: SIGNIFICANCE OF THE MYSTERIOUS ALPHABETS (Islamic Productions, 1973), many previous attempts to unravel the mystery had failed.

The Quranic Initial "Q" (Qaaf)

The computer data showed that the text of the only Q-initialed suras, 42 and 50, contained the same number of Q's, 57 and 57. That was the first hint that a deliberate mathematical system might exist in the Quran.

Sura 50 is entitled "Q," prefixed with "Q," and the first verse reads, "Q, and the glorious Quran." This indicated that "Q" stands for "Quran," and the total number of Q's in the two Q-initialed suras represents the Quran's 114 suras (57+57 = 114 = 19x6). This idea was strengthened by the fact that "the Quran" occurs in the Quran 57 times.

The Quran is described in Sura "Q" as "Majid" (glorious), and the Arabic word "Majid" has a gematrical value of 57: M (40) + J (3) + I (10) + D (4) = 57.

Sura 42 consists of 53 verses, and 42 + 53 = 95 = 19x5.

Sura 50 consists of 45 verses, and 50 + 45 = 95, same total as in Sura 42.

By counting the letter "Q" in every "Verse 19" throughout the Quran, the total count comes to 76, 19x4. Here is a summary of the Q-related data:

1. The frequency of occurrence of "Q" in Sura "Q" (No. 50) is 57, 19x3.
2. The letter "Q" occurs in the other Q-initialed sura (No. 42) exactly the same number of times, 57.
3. The total occurrence of the letter "Q" in the two Q-initialed suras is 114, which equals the number of suras in the Quran.
4. "The Quran" is mentioned in the Quran 57 times.
5. The description of the Quran as "Majid" (Glorious) is correlated with the frequency of occurrence of the letter "Q" in each of the Q-initialed suras. The word "Majid" has a gematrical value of 57.
6. Sura 42 consists of 53 verses, and 42 + 53 is 95, or 19x5. 8.
7. Sura 50 consists of 45 verses, and 50 + 45 is also 95, 19x5.
8. The number of Q's in all verses numbered "19" throughout the Quran is 76, 19x4.

Glimpses of the Quran's mathematical composition began to emerge. For example, it was observed that the people who disbelieved in Lot are mentioned in 50:13 and occur in the Quran 13 times - 7:80; 11:70, 74, 89; 21:74; 22:43; 26:160; 27:54, 56; 29:28; 38:13; 50:13; and 54:33. Consistently, they are referred to as "Qawm," with the single exception of the Q-initialed Sura 50 where they are referred to as "Ikhwaan." Obviously, if the regular, Q-containing word "Qawm" were used, the count of the letter "Q" in Sura 50 would have become 58, and this whole phenomenon would have disappeared. With the recognized absolute accuracy of mathematics, the alteration of a single letter destroys the system.

Another relevant example is the reference to Mecca in 3:96 as "Becca"! This strange spelling of the renowned city has puzzled Islamic scholars for many centuries. Although Mecca is mentioned in the Quran properly spelled in 48:24, the letter "M" is substituted with a "B" in 3:96. It turns out that Sura 3 is an M-initialed sura, and the count of the letter "M" would have deviated from the Quran's code if "Mecca" was spelled correctly in 3:96.

NuN (Noon)

This initial is unique; it occurs in one sura, 68, and the name of the letter is spelled out as three letters - Noon Wow Noon - in the original text, and is therefore counted as two N's. The total count of this letter in the N-initialed sura is 133, 19x7.

The fact that "N" is the last Quranic Initial (see Table 1) brings out a number of special observations. For example, the number of verses from the first Quranic Initial (A.L.M. of 2:1) to the last initial (N. of 68:1) is 5263, or 19x277.

The word "God" (Allah) occurs 2641 (19x139) times between the first initial and the last initial. Since the total occurrence of the word "God" is 2698, it follows that its occurrence outside the initials "A.L.M." of 2:1 on one side, and the initial "N" of 68:1 on the other side, is 57, 19x3. Tables 9 to 20 prove that the initial "NuN" must be spelled out to show two N's.

S (Saad)

This initial prefixes three suras,
7, 19, and 38, and the total occurrence
of the letter "S" (Saad) in these three
suras is 152, 19x8 (Table 2). It is
noteworthy that in 7:69, the word "Bastatan"
is written in some printings with a "Saad,"
instead of "Seen." This is an erroneous
distortion that violates the Quran's code.
By looking at the oldest available copy of
the Quran, the Tashkent Copy, it was found
that the word "Bastatan" is correctly written with a "Seen"

Table 2: The Frequency of
Occurrence of the
Letter "S" in the
Saad-initialed Suras

SuraFrequency of "S"
7

97

19

26

38

29

152 (19x8)

Historical Note

The momentous discovery that "19" is the Quran's common denominator became a reality in January 1974, coinciding with Zul-Hijjah 1393 A.H. The Quran was revealed in 13 B.H. (Before Hijrah). This makes the number of years from the revelation of the Quran to the revelation of its miracle 1393 + 13 = 1406 = 19x74. As noted above, the unveiling of the Miracle took place in January 1974. The correlation between 19x74 lunar years and 1974 solar years could not escape notice. This is especially uncanny in view of the fact that "19" is mentioned in Sura 74.

Y. S. (Ya Seen)

These two letters prefix Sura 36. The letter "Y" occurs in this sura 237 times, while the letter "S" (Seen) occurs 48 times. The total of both letters is 285, 19x15.

It is noteworthy that the letter "Y" is written in the Quran in two forms; one is obvious and the other is subtle. The subtle form of the letter may be confusing to those who are not thoroughly familiar with the Arabic language. A good example is the word "Araany" which is mentioned twice in 12:36. The letter "Y" is used twice in this word, the first "Y" is subtle and the second is obvious. Sura 36 does not contain a single "Y" of the subtle type. This is a remarkable phenomenon, and one that does not normally occur in a long sura like Sura 36. In my book QURAN: VISUAL PRESENTATION OF THE MIRACLE (Islamic Productions, 1982) every "Y" and "S" in Sura 36 is marked with a star.

H.M. (Ha Mim)

Seven suras are prefixed with the
letters "H" and "M;" Suras 40 through
46. The total occurrence of these two
letters in the seven H.M.-initialed suras
is 2147, or 19x113. The detailed data
are shown in Table 3.

Naturally, the alteration of a single letter
"H" or "M" in any of the seven
H.M.-initialed suras would have
destroyed this intricate phenomenon.

`A.S.Q. (`Ayn Seen Qaf)

These initials constitute Verse 2 of
Sura 42, and the total occurrence of
these letters in this sura is 209, or
19x11. The letter " `A"(`Ayn) occurs
98 times, the letter "S" (Seen) occurs
54 times, and the letter "Q" (Qaf)
occurs 57 times.

Table 3: Occurence of the Letters "H"
and "M" in the Seven
H.M.-Initialed Suras

Sura No.Frequency of Occurence
"H""M""H+M"

40

64380444

41

48276324

42

53300353

43

44324368

44

16150166

45

31200231

46

36225261
29218552147
(19x113)

Editorial addition to appx 1

HM initialed suras, a great miracle within the miracle.

ChapterPrefixesFreq (HH)Freq. (M)Sum of numbersSum of digits
40HH M6438044421
41HH M4827632427
42HH M A S Q5330035311
43HH M4432436817
44HH M1615016613
45HH M312002316
46HH M3622526118
Numbers in yellow add up to 19 x 59 and the sum of the digits for these numbers is also 59
Numbers in green add up to 19 x 54 and sum of the digits for these numbers is also 54
Numbers in red add up to 19 x 55 and the sum of the digits for these numbers is also 55
Numbers in silver add up to 19 x 58 and the sum of the digits for these numbers is also 58
Chapter(Hah)(Meem)Add the Digits of the CountsTotal
40643806 + 4 + 3 + 8 + 021
41482764 + 8 + 2 + 7 + 627
42533005 + 3 + 3 + 0 + 011
43443244 + 4 + 3 + 2 + 417
44161501 + 6 + 1 + 5 + 013
45312003 + 1 + 2 + 0 + 06
46362253 + 6 + 2 + 2 + 518
Total2147(19X113)26 + 32 + 16 + 24 + 15113
Chapter(Hah)(Meem)Add the Digits of the CountsTotal
4064380 6 + 4 + 3 + 8 + 021
41482764 + 8 + 2 + 7 + 627
42533005 + 3 + 3 + 0 + 011
Total1121(19 X 59)15 + 15 + 8 + 15 + 659
Chapter(Hah)(Meem)Add the Digits of the CountsTotal
43443244 + 4 + 3 + 2 + 417
44161501 + 6 + 1 + 5 + 013
45312003 + 1 + 2 + 0 + 06
46362253 + 6 + 2 + 2 + 518
Total1026(19 X 54)11 + 17 + 8 + 9 + 954
Chapter(Hah)(Meem)Add the Digits of the CountsTotal
41482764 + 8 + 2 + 7 + 627
42533005 + 3 + 3 + 0 + 011
43443244 + 4 + 3 + 2 + 417
Total1045(19 X 55)13 + 15 + 8 + 9 + 1055
Chapter(Hah)(Meem)Add the Digits of the CountsTotal
40643806 + 4 + 3 + 8 + 021
44161501 + 6 + 1 + 5 + 013
45312003 + 1 + 2 + 0 + 06
46362253 + 6 + 2 + 2 + 518
Total1102(19 X 58)12 + 17 + 8 + 15 + 558

A.L.M. (Alef Laam Mim)

A thorough recount of the Quranic initials, conducted in 2002, by Submission.org, using both manual as well as two different computer counting programs, has confirmed Dr. Rashad Khalifa's counts of all the Quranic initials except for a few counts in the initials "A" (Alef) and "L" ( Laam). However, the recent recount of Quranic initials remains divisible by 19 and is a part of the Mathematical Miracle of the Quran. The latest information on this recount can be reviewed at: Mathematical Miracle Of The Quran.

Research on the "A"(alef) and "L" (Lam) counts is ongoing.

The letters "A," "L," and "M"
are the most frequently used
letters in the Arabic language, and
in the same order as we see in the
Quranic Initials - "A," then "L,"
then "M." These. letters prefix six
suras- 2, 3, 29, 30, 31, and 32 and
the total occurrence of the three
letters in each of the six suras is a
multiple of 19 [9899 (19x521),
5662 (19x298), 1672 (19x88),
1254 (19x66), 817 (19x43), and
570 (19x30), respectively]. Thus,
the total occurrence of the three
letters in the six suras is 19874
(19x1046), and the alteration of
one of these letters destroys this
phenomenon.

Table 4: Occurence of the Letters
"A," "L," and "M" in the
A.L.M.-Initialed Suras

Sura
No.

Frequency of Occurence

Total

"A""L""M"

2

4502320221959899 (19x521)

3

2521189212495662 (19x298)

29

7745543441672 (19x88)

30

5443933171254 (19x66)

31

347297173817 (19x43)

32

257155158570 (19x30)
89456493443619874 (19x1046)
A.L.R. (Alef Laam Ra)

These initials are found in Suras
10, 11, 12, 14, and 15. The total
occurrences of these letters in these
suras are 2489 (19x131), 2489 (19x131),
2375 (19x125), 1197 (19x63), and
912 (19x48), respectively (Table 5).

Table 5: Occurence of the Letters
"A," "L," and "R" in the
A.L.R.-Initialed Suras

Sura
No.

Frequency of Occurence

Total

"A""L""R"
1013199132572489 (19x131)
1113707943252489 (19x131)
1213068122572375 (19x125)
145854521601197 (19x63)
1549332396912 (19x48)
5073329410959462 (19x498)

A.L.M.R. (Alef Laam Mim Ra)

These initials prefix one sura, No. 13, and the total frequency of occurrence of the four letters is 1482, or 19x78. The letter "A" occurs 605 times, "L" occurs 480 times, "M" occurs 260 times, and "R" occurs 137 times.

A.L.M.S. (Alef Laam Mim Saad)

Only one sura is prefixed with these initials, Sura 7, and the letter "A" occurs in this sura 2529 times, "L" occurs 1530 times, "M" occurs 1164 times, and "S" (Saad) occurs 97 times. Thus, the total occurrence of the four letters in this sura is 2529+1530+1164+97 = 5320 = 19x280.

An important observation here is the interlocking relationship involving the letter "S" (Saad). This initial occurs also in Suras 19 and 38. While complementing its sister letters in Sura 7 to give a total that is divisible by 19, the frequency of this letter also complements its sister letters in Suras 19 and 38 to give a multiple of 19. (See above).

Additionally, the Quranic Initial "S" (Saad) interacts with the Quranic Initials "K.H.Y.`A." (Kaaf Haa Ya `Ayn) in Sura 19 to give another total that is also a multiple of 19. (See below). This inter- locking relationship - which is not unique to the initial "S" (Saad) - contributes to the intricacy of the Quran's numerical code.

K.H.Y.`A.S. (Kaaf Ha Ya `Ayn Saad)

This is the longest set of initials, consisting of five letters, and it occurs in one sura, Sura 19. The letter "K" in Sura 19 occurs 137 times, "H" occurs 175 times, "Y" occurs 343 times, " `A" occurs 117 times, and "S" (Saad) occurs 26 times. Thus, the total occurrence of the five letters is 137+175+343+117+26 = 798 = 19x42.

H., T.H. (Ta Ha), T.S. (Ta Seen),
& T.S.M. (Ta Seen Mim)

An intricate interlocking relationship links these overlapping Quranic Initials to produce a total that is also a multiple of 19. The initial "H." is found in Suras 19 and 20. The initials "T.H." prefix Sura 20. The initials "T.S." are found in Sura 27, while the initials "T.S.M." prefix its surrounding Suras 26 & 28.

It is should be noted at this time
that the longer, more complex,
interlocking and overlapping
initials are found in the suras where
uncommonly powerful miracles
are narrated. For example, the virgin
birth of Jesus is given in Sura 19,
which is prefixed with the longest
set of initials, K.H.Y.`A.S.

The interlocking initials "H.," "T.H.,
" "T.S.," and "T.S.M." prefix suras
describing the miracles of Moses,
Jesus, and the uncommon occurrences
surrounding Solomon and his jinns.
God thus provides stronger evidence
to support stronger miracles. The
frequencies of occurrence of these
initials are presented in Table 6.

Table 6: Occurence of the Quranic
Initials "H.," "T.H.," "T.S.,"
and "T.S.M." in Their Suras
Sura

Frequency of

"H""T""S""M"
19175

-

-

-

2025128

-

-

26

-

3394484
27

-

2794

-

28

-

19102460
426107290944
426+107+290+944 = 1767 = (19x93)

What Is A "Gematrical Value"?

When the Quran was revealed, 14 centuries ago, the numbers known today did not exist. A universal system was used where the letters of the Arabic, Hebrew, Aramaic, and Greek alphabets were used as numerals. The number assigned to each letter is its "Gematrical Value." The numerical values of the Arabic alphabet are shown in Table 7.

Alef
1
Ya'
10
TTa'
9
Ha'
8
Zay
7
Waw
6
Ha'
5
Dal
4
Jim
3
Ba'
2
Qaf
100
Saad
90
Fa'
80
'Ayn
70
Seen
60
Noon
50
Mim
40
Laam
30
Kaf
20
Ghayn
1000
Za
900
Dad
800
Dhal
700
Kha'
600
Tha'
500
Ta'
400
Shin
300
Ra'
200

Other Mathematical Properties of the Initialed Suras

Fourteen Arabic letters, half the
Arabic alphabet, participate in
the formation of 14 different sets
of Quranic Initials. By adding the
gematrical value of each one of these
letters, plus the number of suras
which are prefixed with Quranic
Initials (29), we obtain a total of
722, or 19x19x2.

Additionally, if we add the total
gematrical value of all 14 initials,
plus the number of the first sura
where the initial occurs, we get a
grand total of 988, 19x52.
Table 8 presents these data.

If we add the number of occurrences
of each of the 14 letters listed in
Table 8 as an initial, plus the numbers
of the suras where it occurs as an initial,
the Grand Total comes to 2033, 19x107.
See Table 9.

Table 8: The 14 Letters Used in Forming
Quranic Initials

LetterValueFirst Sura
A (Alef)12
L (Laam)302
M (Mim)402
S (Saad)907
R (Ra)20010
K (Kaf)2019
H (Ha)519
Y (Ya)1019
`A (`Ayn)7019
T (Ta)920
S (Seen)6026
H (Ha)840
Q (Qaf)10042
N (Noon)5068
693295

693 + 295 = 988 = 19x52

also 693 + 29 (suras) = 722 = 19x19x2

Table 9: Mathematically Structured Distribution of the Quranic Initials

InitialNumber of OccurrencesSuras Where It OccursTotal
A (Alef)13[+2+3+7+10+11+12+13 +14+15+29+30+31+32]222
L (Laam)13[+2+3+7+10+11+12+13 +14+15+29+30+31+32]222
M (Mim)17[+2+3+7+13+26+28+29+30+31 +32+40+41+42+ 43+44+45+46]519
S (Saad)3+7+19+3867
R (Ra)6+10+11+12+13+14+1581
K (Kaf)1+1920
H (Ha)2+19+2041
Y (Ya)2+19+3657
`A (`Ayn)2+19+4263
T (Ta)4+20+26+27+28105
S (Seen)5+26+27+28+36+42164
H (HHa)7+40+41+42+43+44+45+46308
Q (Qaf)2+42+5094
N (Noon)2+6870
7919542033(19x107)

Table 10 presents the total
frequency of Quranic Init ials,
plus the total gema- trical value
of these letters in the whole sura.
The Grand Total for all initialed
suras is 1089479. This number,
in excess of one million, is a multiple
of 19 (1089479 = 19 x 57341). The
slightest alteration or distortion
destroys the system.

Note: The total gematrical value
of the Quranic Initials in a given
sura equals the gematrical value
of each initial multiplied by the
frequency of occurrence of that
initial in the sura.

Table 10: Total Gematrical Values of All
frequency of Quranic Init- Quranic Initials In Their Suras

SuraInitials

Frequency
of Initials

Tot.G.Val.
in Sura

2A.L.M.9899188362
3A.L.M.5662109241
7A.L.M.S.5320103719
10A.L.R.248980109
11A.L.R.248990190
12A.L.R.237577066
13A.L.M.R.148252805
14A.L.R.119746145
15A.L.R.91229383
19K.H.Y.`A.S.79817575
20T.H.2791507
26T.S.M.61125297
27T.S.1215883
28T.S.M.58124691
29A.L.M.167231154
30A.L.M.125425014
31A.L.M.81716177
32A.L.M.57011227
36Y.S.2855250
38S.292610
40H.M.44415712
41H.M.32411424
42H.M.-`A.S.Q.56228224
43H.M.36813312
44H.M.1666128
45H.M.2318248
46H.M.2619288
50Q575700
68N,N1336650

-

-

413881048091

41388 + 1048091 = 1089479 (19 x 57341)

Major Parameters of the Quranic
Initials (Suras, Verses, Frequency,
First Sura, & Last Sura)

Table 11 shows that the sum of numbers of suras and verses where the Quranic Initials are found, plus the initial's frequency of occur- rence in that sura, plus the number of the first sura where the initials occur, plus the number of the last sura where the initials occur, produces a total that equals 44232, or 19x2348. Thus, the distribution of the Quranic Initials in the initialed suras is so intricate that their counts and their placement within suras are intertwined to give a grand total that is a multiple of 19.

It is noteworthy that the initial "N" must be counted as two N's. This reflects the fact that the original Quranic text spells out this initial with 2 N's.

Table 11: Parameters of the 14 Individual Quranic Initials
InitialSura , Verse, & (Frequency)
of Initial in Each Sura Sura
First
Sura
Last
Sura
A (Alef)2:1 (4502), 3:1 (2521), 7:1 (2529),
10:1 (1319), 11:1 (1370), 12:1 (1306),
13:1 (605), 14:1 (585), 15:1 (493),
29:1 (774), 30:1 (544), 31:1 (347),
32:1 (257)
232
L (Laam)2:1 (3202), 3:1 (1892), 7:1 (1530),
10:1 (913), 11:1 (794), 12:1 (812),
13:1 (480), 14:1 (452), 15:1 (323),
29:1 (554), 30:1 (393), 31:1 (297),
32:1 (155)
232
M (Mim)2:1 (2195), 3:1 (1249), 7:1 (1164),
13:1 (260), 26:1 (484), 28:1 (460),
29:1 (344), 30:1 (317), 31:1 (173),
32:1 (158), 40:1 (380), 41:1 (276),
42:1 (300), 43:1 (324), 44:1 (150),
45:1 (200), 46:1 (225)
246
S (Saad)7:1 (97), 19:1 (26), 38:1 (29)738
R (Ra)10:1 (257), 11:1 (325), 12:1 (257),
13:1 (137), 14:1 (160), 15:1 (96)
1015
K (Kaf)19:1 (137)1919
H (Ha)19:1 (175), 20:1 (251)1920
Y (Ya)19:1 (343), 36:1 (237)1936
`A(`Ayn)19:1 (117), 42:2 (98)1942
T (Ta)20:1 (28), 26:1 (33), 27:1 (27),
28:1 (19)
2028
S (Seen)26:1 (94), 27:1 (94), 28:1 (102),
36:1 (48), 42:2 (54)
2642
H (HHa)40:1 (64), 41:1 (48), 42:1 (53),
43:1 (44), 44:1 (16), 45:1 (31),
46:1 (36)
4046
Q (Qaf)42:2 (57), 50:1 (57)4250
N (NuN)68:1 (133)6868
43423295514

Grand Total = 43423+295+514 = 44232 = 19x2328

A special mathematical coding authenticates the number of verses where the Quranic Initials themselves are found. As detailed in Table 11, all Quranic Initials occur in Verse 1, except in Sura 42 (initials in Verses 1 and 2). This fact is supported by the remarkable mathematical phenomenon detailed in Table 12. If we multiply the first two columns of Table 12, instead of adding, we still end up with a Total that is divisible by 19 (see Table 13).

Obviously, it is crucial to have two
different initialed verses in Sura 42
in order to conform with the Quran's
mathematical code. The fact that
Verse 1 of Sura 42 consists of the
two Quranic Initials "H.M." and the
second verse consists of the three
Initials " `A.S.Q." has perplexed
Muslim scholars and orientalists
for 14 centuries.

By the end of this Appendix, the
reader will see that every element
of the Quran is mathematically
authenticated. The elements we
are dealing with now are "the
number of Quranic Initials in each
initialed sura" and "the number of
verses that contain Quranic Initials.
" Tables 11 through 13 have dealt
with these two elements.

Additional mathematical authentication
is shown in Tables 14 and 15. In
Table 14, we have the numbers of all
initialed suras added to the number of
verses in each sura, plus the number of
verses containing initials, plus the
gematrical values of those initials.
The Grand Total is 7030, or 19x370.

Table 13: Multiplying the
First Two Columns of Table 12,
Instead of Adding

Sura
No
No. of
Initials
No. of
Init'ld Verses
2X

3

1

3X

3

1

7X

4

1

-

-

-

42X

5

2

-

-

-

50X

1

1

68X

2

1

2022

30

2022 + 30 = 2052 (19x108)

Table 12: Mathematical
Coding of the
Number of Verses with Initials

Sura
No.
No. of
Initials
Initialed
Verses
231
331
741
1031
1131
1231
1341
1431
1531
1951
2021
2631
2721
2831
2931
3031
3131
3231
3621
3811
4021
4121
4252
4321
4421
4521
4621
5011
6821
8227930
822 + 79 + 30 = 931 (19x49)

Table 14: Mathematical Properties of the Initialed Suras

Sura
Number
Number of
Verses
Number of
Initialed Verses
Gematrical Value
of the Initials
TOTAL
2286171360
3200171275
72061161375
101091231351
111231231366
121111231355
13431271328
14521231298
15991231346
19981195313
20135114170
26227114170
2793169190
28881109226
2969171170
3060171162
3134171137
3230171134
3683170190
3888190217
4085148174
4154148144
42532278375
4389148181
4459148152
4537148131
4635148130
50451100196
6852150+50221
82227433034357030

822+2743+30 +3435 = 7030

Remarkably, if we multiply the first two columns of Table 14, instead of adding them, we still get a Grand Total that is divisible by 19 (Table 15).

Table 15: Multiplying the First 2 Columns of Table 14, Instead of
Adding Them

Sura
Number
Number of VersesNumber of Initi'ld VersesGematrical Value of the InitialsTOTAL

2

X

286

+

1

+

71

=

644

3

X

200

+

1

+

71

=

672

7

X

206

+

1

+

161

=

1604

-

-

+

-

+

-

=

-

50

X

45

+

1

+

100

=

2351

68

X

52

+

1

+

(50+50)

=

3637

60071

+

30

+

3435

=

63536
(19x3344)

The number of verses per sura, and the numbers assigned to each verse are among the basic elements of the Quran. Not only are these elements authenticated mathematically, but both initialed and un- initialed suras are independently coded. Since we are now dealing with the initialed suras, Table 16 presents the numbers assigned to these suras, added to the numbers of verses in each sura, plus the sum of verse numbers (1+2+3+ ... + n). The Grand total is 190133, or 19x10007.

By adding the number of every sura
to the number of the next sura, and
accumulating the sums of sura.
numbers as we continue this process
to the end of the Quran, we will have
a value that corresponds to each sura.
Thus, Sura 1 will have a corresponding
value of 1, Sura 2 will have a value of
1+2=3, Sura 3 will have a value of
3+3=6, Sura 4 will have a value of
6+4=10, and so on to the end of the
Quran. The total values for the initialed
and the un-initialed suras are
independently divisible by 19. The
values for the initialed suras are shown
in Table 17.

The values calculated for the un-initialed
suras add up to a total of 237785, which
is also a multiple of 19 (237785 = 19x12515).

Table 16: Mathematical Structuring
of the Verses of Initialed Suras

Sura
No.
No.of
Verses
Sum of
Verse #s

Total

22864104141329
32002010020303
72062132121534

-

-

-

-

504510351130
685213781498
8222743186568190133
(19x10007)

Table 17: Values Obtained by
by Successive Addition of
Sura Numbers

Sura NumberCalculated Value
23
36
728
1055
1166
1278
1391
14105
15120
19190
20210

-

-

44990
451035
501081
681275
15675
(19x825)

Mathematical Coding Of Special Words

The Word "God" (Allah)

[1] As shown earlier the word "God" occurs in the Quran 2698 times, 19x142.

[2] The numbers of verses where the word "God" occurs add up to 118123, also a multiple of 19 (118123 = 19x6217).

These simple phenomena gave us
many difficulties while simply
counting the word "God." We were
a group of workers, equipped with
computers, and all of us college
graduates. Yet, we made several
errors in counting, calculating, or
simply writing the counts of the
word "God." Those who still
claim that Muhammad was the
author of the Quran are totally
illogical; he never went to
college, and he did not have
a computer.

[3] From the first Quranic Initials
(A.L.M. 2:1) to the last initial
(N.68:1),there are 2641, 19x139,
occurrences of the word "God."

[4] The word "God" occurs 57
times in the section outside the
initials (Table 18).

[5] By adding the numbers of the
suras and verses where these 57
occurrences of the
word "God" are found, we get a
total of 2432, or 19x128.
See Table 18.

[6] The word "God" occurs in 85
suras. If we add the number of each
sura to the number of verses
between the first and last occurences
of the word "God," both verses
inclusive, the Grand Total comes to
8170 or 19x430. An abbreviated
representation of the data is
shown in Table 19.

[7] The Quran's dominant message is
that there is only "One God." The word
"One," in Arabic "Wahed" occurs in
the Quran 25 times. Six of these
occurrences refer to other than God
(one kind of food, one door, etc.).
The other 19 occurrences refer to God.
These data are found in the classic
reference INDEX TO THE WORDS
OF QURAN.

The crucial importance of the word
"ONE" as the Quran's basic message
is manifested in the fact that the Quran's
common denominator, 19, happens to
be the gematrical value of the
word "ONE."

Table 18: Occurence of the Word
"God" outside the Initialed
Section

No.of
Sura
No.of
Verses
Times
Occurs
11,22
69331
7031
713,4,13,15,17,19,257
724,5,7,12,18,19,22,2310
73207
7431,563
766,9,11,305
79251
81291
82191
84231
858,9,203
8771
88241
91132
9581
96141
982,5,83
10461
1101,22
1121,22
179863457
(19x3)
Sum of numbers of the suras &
verses = 1798 + 634 = 2432
= 19 x 128
Total occurence of the word
"God" outside the initialed
section = 57 (19 x 3).

Table 19: All Suras in Which the
Word "God" (Allah) Is Mentioned

Sura
No.
First
Verse
Last
Verse
Verses
1st to Last
11122
227286280
332200199
-

-

-

-

-

84110122
85112122
39104260

3910+4260=8170 = 19X430

These mathematical properties cover
all occurrences of the word "God."

For part II, please click here

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