GOD'S MESSAGE IN MATHEMATICS
by Abdullah Arik
FOREWORD
This discussion would be unprofitable if it did
not lead us to appreciate
the wisdom of our Creator, and the wondrous knowledge of the Author
of the world, who in the beginning created the world out of nothing and
set everything in number, measure and weight, and then in time and age
of man formulated a science which reveals fresh wonders the more we
study it. Hrovista of Gandersheim (980 AD)
All of us, at one time or another, have been compelled to contemplate
creation. Questions such as the purpose of our lives and the existence of
God, have been pondered upon from time immemorial. There have always been
those who choose to interpret the harmony and order of the cosmos as a fluke
of nature, but a closer look gives clear evidence of a design, and thus a
designer. The discoveries being made on all frontiers are making this picture
clearer by the day.
Most contemporary scientists are agnostics. If they profess a religious
belief, they keep their science and their religion in totally separate
compartments of their lives. The conventional scientific view considers
mathematics as the foremost example of a field where reason is supreme, where
emotions do not enter, where we know with certainty, and know that we know;
where the truths of today are truths forever. This view considers religion,
by contrast, a realm of pure belief unaffected by reason. Therefore, in the
view of the scientist, all religions are equal because all have been equally
incapable of verification or justification.
For any subject to be a proven fact, be it a law of physics or the Ten
Commandments from the Torah, proof needs to be given. Proof basically means
that a statement is true beyond a shadow of a doubt. It is validation and
certification. It is the seal of authority, the mathematical power, the electric
voltage, that vitalizes the static assertion about any subject. Proof is
thus a celebration of the power of pure reason.
Proof is a procedure by which a proposition about the unseen reality can
be established with finality by a process of deduction and conclusion, and
thus be made acceptable by all. Since a mathematical question will have only
one definite answer, then different mathematicians, using different methods,
working in different centuries and places will arrive at the same answer.
Thus a mathematicalproof is unaffected by time or space.
Galileo stated that mathematics is the language in which God wrote the
universe. This is now a demonstrated fact. The universe expresses itself
naturally in the language of mathematics. The force of gravity diminishes
as the second power of distance, the planets move around the sun in ellipses,
etc. Mathematics is thus a symbolic counterpart of the universe. It is the
science of quantity and space, of pattern and structure. It is the methodology
wherein hypothesis leads to conclusion.
Mathematics provides irrefutable proof about the subject under consideration.
It forms the very structure of the world, containing truths that are valid
forever. Mathematics forms an integral part of all sciences, for example,
medicine, astronomy, physics, engineering, sociology and Psychology.
Mathematics is a science of the infinite. Its goal is the symbolic
comprehension of the infinite with human, that is finite, means. It now
elaborates a theology which declares the nature of God and the relationship
of God and man.
This is the age of science and reason. It is impossible for an intelligent
person to accept the existence of God or the divine origin of any religion
on blind faith. We need proof from God Himself, and if He is really what
He tells us He is, namely omniscient and omnipotent, He should be able to
give us ample proof.
The only scripture which is still preserved in its entirety and in its
original language is the Final Testament. It is a fact that the original
Torah of the prophets of Israel is lost, and we do not have the Gospel of
Jesus but that of his followers, nor do we have the original scriptures of
the Hindus or the Buddhists. What we have now are the writings of humans
who profess to know the original scripture.
The Final Testament was entered into the computer in the 1970's. A unique
phenomenon was discovered which has never been found in any other book.
Irrefutable evidence has since emerged that the original language of the
revelation was written in a way which conforms to a complex mathematical
pattern. As research has continued it has been found that every element of
the book is mathematically composed -- the chapters, the verses, the words,
the numbers of certain letters, the number and variety of divine names, the
unique spelling of certain words, and many other elements. Because of this
comprehensive mathematical coding, the slightest distortion of the Quran's
text or physical arrangement is immediately exposed. The mathematical composition
leaves no doubt as to its divine origin. Numbers do not lie. In this volume,
Abdullah Arik has presented as complete a picture of this code as is possible
at this point. New parameters continue to be discovered at a breath taking
rate.
Mr. Arik is particularly well qualified for this task. His contributions
to this research have been surpassed only by the man who originally discovered
the code in the 1970's, Dr. Rashad Khalifa. Dr. Khalifa was prepared for
the initial scientific research that led to the discovery of this code by
his rigorous training as a PhD biochemist. Mr. Arik's background, as an
engineering consultant in geostatistics, mining and computer applications,
has given him the knowledge and scientific curiosity to objectively investigate
the code further. His investigation, along with that of others, has yielded
stunning results.
Mathematics, the science of the infinite, has thus unveiled one of the
greatest miracles known to mankind thus providing the ultimate proof beyond
a shadow of a doubt about the existence of the one God and His final message
to humanity.
Shakira Karipineni, MD.
1
INTRODUCTION
Mathematics is the language in which God wrote
the universe.
Galileo (1564-1642 AD)
At some point in their lives everyone capable of thinking is bound to
ponder about the creation of themselves, of everything they see around them,
and the existence of a creator. It is natural for people to ponder upon their
origins and the purpose of their existence. For some,explanations provided
to them by the religion they were born into are sufficient, while others
might be satisficd with the theory that life evolved on the planet because
of its particular circumstances. However, many people, including those who
believe in religious doctrines or scientific theories, are doubtful, perhaps
subconsciously, of the explanations provided to them. Although they entertain
many unanswered questions in their minds, the majority of these people follow
the crowd - suppressing their doubts and questions. Only a minority actively
searches for the truth and tries to find answers to these age-old questions.
For many people the order, harmony and the perfect design of the things
around them make it impossible to believe in the theory of evolution without
a designer. Thus, they feel like Professor Edwin Conklin who once said
"The probability of life originating from an accident
is comparable to the probability of the Unabridged Dictionary resulting from
an explosion in a printing factory." Yet, when these people turn
to religion, they realize that most of their questions are unanswered. Besides,
there are so many different religious faiths, each preaching theirs to be
the right way. This makes the choice extremely difficult. Today all religions
are nothing but various sets of traditions, rather than facts since they
have lost their original message with time. Such corruption in religion has
been caused by human ego and inventions that eventually distorted the truth
for political and economic gain. Because of this, people who want to turn
to the basics of religion are considered out of line with society.
Many of us feel that the questions in our minds about the existence of
God would be resolved if we witnessed a miracle from God, similar to the
ones performed by Moses or Jesus that we read about in the scriptures. We
may also think that it is not really fair to our generation that God does
not send down miracles any more. Yet, let us be serious. With all the scientific
and technological advancements that we have today, who would believe in the
ancient type of miracles such as healing the sick, or reviving the dead?
It would be more logical for God to send down a miracle that is more compatible
for the minds and the life styles of the people in this day and age.
The lack of a modern miracle contradicts the idea that God is the Most
Wise. It also gives the impression that God is not adaptable to our higher
levels of thinking. Is God only capable of miracles for simpler, more ancient
minds? Did God deliver His miracles to a few small generations, while our
generation is greater in number, and there are e'ren larger generations to
come?
We live in an age of science and computers. We consider ourselves intelli-
gent beings who do not accept ideas which cannot be proven. On the other
hand, we accept on faith many notions that defy common sense. We are proud
of ourselves because we know more about science and technology than our parents
and ancestors. We readily accept what is better and more advanced than what
our parents have had. Yet, many of us do not hesitate to follow our parents
blindly in religion, even if it means doing something we do not fully believe
in.
The objective of this book is to present to the reader a mathematical
system imbedded in a scripture from God. This mathematical system is so
interwoven, so interlaced, and so pervasive throughout this scripture that
it is beyond the probability of coincidence or human manufacture, proving
its divinity and therefore the existence of God. This built-in system has
been recently unveiled through the computer analysis of the original text
of the scripture. It is the perfect opportunity for people who want to reaffirm
their belief in God, and do not want to accept anything on blind faith. With
this scripture and the new physical evidence, a clearer picture emerges:
There is only one God who is eternal, all knowing, and merciful. One God
who is in complete control of every little detail in the universe, and who
can make Himself manifest for all.
(2) A UNIQUE BOOK
There are many scriptures in existence today. The Torah of the Jews, the
Bible of the Christians, the Gita of Hindus to name a few. A closer look
at the scriptures brings to light very clearly the fact that all these scriptures
are translations and the originals have been lost through time. The only
scripture in existence which is still intact in its original language of
revelation is the Quran. The Quran teaches the religion of Submission to
God alone, and it also stipulates that it is the Final Testament; there will
not be any other scripture from God. Perhaps more significantly though, the
Quran comes with a built-in mathematical system that proves its divinity.
Although the Quran advocates that it is for all people and for all
generations, many people perceive it to be the holy book only for the Muslims,
and the religion of Islam. This is mainly because the Islam practiced by
the Muslims around the world today is vastly different than what is presented
in the Quran. The true religion of Islam is buried under piles upon piles
of traditions and human made inventions that have been devised for political
and economic gain. What the West perceives as Islam is nothing more than
these inventions and erroneous practices carried out in the name of religion.
They are not the practices advocated by the Quran. This is analogous to looking
at the back side of a mirrorÅits original intent is no longer identifiable.
A NO NONSENSE SCRIPTURE
The Quran clearly points out the practices and guidelines for the religion
of Submission. It advocates universal unity of all people under one God,
who is the Creator. It respects the people of all religions, and promises
salvation as long as they are righteous and worship only the Creator. The
Quran's universal view is expressed in the following verse:
Surely, those who believe, those who are Jewish,
the Christians,
the converts; anyone who (1) believes in God, and (2) believes
in the Last Day, and (3) leads a righteous life, will receive their
recompense from their Lord; they have nothing to fear, nor will
they grieve. (2:62)
The word "Islam" is derived from the Arabic root "SLM" which means, among
other things, peace, purity, submission and obedience. In the religious sense
as used in the Quran, the word "Islam" means submission and total devotion
to God alone. Similarly, the word Muslim is used in the Quran to describe
one who submits to the will of God, and devotes his worship to Him alone.
The Quran considers Abraham, Moses, Jesus, Muhammad, and all other messengers
and prophets, as Submitters, including any of their true followers. Therefore,
although the practices in each religion are different, there are many Submitter
Jews, Submitter Christians, Submitter Muslims, and so on. According to the
scriptures, there is only one religion in the sight of God devoting one's
worship to God alone. This is the first commandment in the Old Testament,
New Testament, and the Quran the Final Testament.
BASIC INFORMATION
The Quran consists of 114 chapters. Its original text is in Arabic. The
shortest chapter in the Quran contains three verses, whereas the longest
chapter has 286 verses. The early chapters are longer in length, with the
exception of the opening chapter. The chapters get shorter towards the end
of the book. Table 1 lists the names of the 114 chapters with the number
of verses in them.
The Quran is a unique book in that some of its chapters start with a letter,
or a group of letters, instead of the usual text. These letters will be called
initials, and the chapters that start with initials will be called the initialed
chapters throughout this book.
There are 29 initialed chapters in the Quran. These chapters are not found
in any particular order. The first initialed chapter is Chapter 2, and the
last one is Chapter 68. Some of these chapters contain the same initials,
or a subset of the initials used in other chapters. There are a total of
14 different sets of initials which are made up of 14 different Arabic letters.
Table 2 lists the 29 initialed chapters with the corresponding initials used.
In this table, only the English equivalents of the Arabic letters are given.
A cross reference table of Arabic letters versus their approximate English
equivalents is provided in the next chapter.
Table 1. The 114 chapters of the Quran with the corresponding
number of verses in them, Click on any sura 's name to read or check.
Table 2. The 29 initialed chapters, the number
of verses in them, and the initials prefixing
these chapters |
Sura
No. |
No of
verses |
Sura Title |
Quranic
Initials |
| 2 |
286 |
The Heifer |
A.L.M |
| 3 |
200 |
The Amramites |
A.L.M |
| 7 |
206 |
The Purgatory |
A.L.M.S. |
| 10 |
109 |
Jonah |
A.L.R. |
| 11 |
123 |
Hud |
A.L.R. |
| 12 |
111 |
Joseph |
A.L.R |
| 13 |
43 |
Thunder |
A.L.M.R. |
| 14 |
52 |
Abraham |
A.L.R. |
| 15 |
99 |
Al-Hijr Valley |
A.L.R. |
| 19 |
98 |
Mary |
K.H.Y.`A.S. |
| 20 |
135 |
T.H. |
T.H. |
| 26 |
227 |
The Poets |
T.S.M. |
| 27 |
93 |
The Ant |
T.S. |
| 28 |
88 |
History |
T.S.M. |
| 29 |
69 |
The Spider |
A.L.M. |
| 30 |
60 |
The Romans |
A.L.M. |
| 31 |
34 |
Luqmaan |
A.L.M. |
| 32 |
30 |
Prostration |
A.L.M. |
| 36 |
83 |
Y.S. |
Y.S. |
| 38 |
88 |
S. |
S. |
| 40 |
85 |
Forgiver |
H.M. |
| 41 |
54 |
Elucidated |
H.M. |
| 42 |
53 |
Consultation |
H.M.`A.S.Q. |
| 43 |
89 |
Ornaments |
H.M. |
| 44 |
59 |
Smoke |
H.M. |
| 45 |
37 |
Kneeling |
H.M. |
| 46 |
35 |
The Dunes |
H.M. |
| 50 |
45 |
Q. |
Q. |
| 68 |
52 |
The Pen |
NuN |
Note:All initials occur in the first verse of these
chapters with the exception of chapter 42. In this chapter, the first two
initials occur in the first verse, the last three - initials occur in the
second verse.
Ever since the revelation of the Quran, many scholars studying the Quran
tried in vain to understand the significance of the initials and the initialed
chapters. However, their significance remained a mystery until recently.
DISCOVERY OF THE MATHEMATICAL SYSTEM
An Egyptian-American biochemist and a Muslim scholar, Dr. Rashad Khalifa,
started translating the Quran into English in the early 1970's. He was determined
to find an explanation for the mysterious initials. With this in mind, he
initiated an extensive research on these initials after placing the Quranic
text with the initialed chapters into a computer. His objective was to find
a mathematical pattern which would explain the significance of the initials,
although he had no idea where and what to look for. After several years of
research, Dr. Khalifa published his first findings in a book entitled MIRACLE
OF THE QURAN: Significance of the Mysterious Aphabets in 1973. Although his
findings indicated a correlation between the frequency of the initials
themselves, he did not relate these frequencies to any common denominator.
By January 1974, he recognized 19 as a common denominator in the initials
and throughout the Quran.
Continuing research after this discovery unveiled an intricate mathematical
system which pervades the whole Quran and governs every possible element
in it (Khalifa, R., 1981 and 1989). This remarkable mathematical system will
be discussed in a series of publications in preparation for a book.
3
REMARKABLE DESIGN
The entire text of the Quran is mathematically composed with remarkable
intricacy. The basis of this mathematical system is the number 19. Virtually
every element of the Quran contains 19 as the common denominator. The Quran's
mathematical system has various levels of complexity. It includes numbers
which are straightforward or simple to obtain. It also includes numbers that
may require computer programming to verify that they are multiples of 19.
Therefore, not only people with advanced mathematical capability, but also
people who can only do simple calculations can appreciate the 19-based
mathematical system imbedded in the Quran.
EXAMPLES
One of the straightforward and visible aspects of the Quran's design is
the number of its elements and the number of occurrences of the key words
in it. Some examples include:
1. The number of chapters in the Quran is 114, or 19 x 6.
2. The total number of verses in the Quran is 6,346, or 19 x 334.
3. The word "God" occurs in the Quran 2,698 times, or 19 x 142.
4. The sum of all the verse numbers where the word "God" occurs is 118,123
or 19 x 6,217.
Another aspect of the design is the number of occurrences of initials
within the initialed chapters. All the initials occur in their corresponding
chapters in multiples of 19, when looked at as individual sets. For example,
there are two chapters that are initialed with Q. The number of occurrence
of the letter Q in each of these chapters is 57 or 19 x 3.
There are also other aspects of the design that require more work because
of the large numbers involved, even though the operation itself is nothing
more than simple addition or division. For example, the sum of the number
of verses in each of the 114 chapters of the Quran, plus the sum of every
single verse number in all chapters is equal to 339,644 or 19 x 17,876. A
lot of numbers to add together to get the result!
If you thought adding those thousands of numbers together is a difficult
task, how about dividing them? This aspect of the design involves putting
a string of numbers together and dividing them by 19. Going back to the previous
example, if we take the same numbers used in that summation, and put them
all side by side, from the first to the last chapter, we obtain a 12,692-digit
number. The number 12,692 itself is 19 x 668. But more importantly, the entire
12,692-digit number is also a multiple of 19. This is where some computer
programming becomes necessary, for such operations would be almost impossible
to perform by hand.
GEMATRICAL VALUE
Another aspect of the Quran's mathematical design is the use of the gematrical
values of the Arabic letters. The gematrical value of a letter is the numerical
value assigned to it. When the Quran was revealed, fourteen centuries ago,
numbers as we know them today did not exist. Instead, there was a universally
accepted numerical system where the letters of the Arabic, Hebrew, Aramaic,
and Greek alphabets were used as numerals. The number assigned to each letter
is considered to be its gematrical value. Table 4 gives the gematrical values
of each letter in the Arabic alphabet, which is listed in its original order.
The order of the letters in the modern day Arabic alphabet is slightly different.
Also in the same table, the English equivalent letters are given in parantheses.
The choice of the English letters used are based simply on the sounds of
the Arabic letters. The bold fonts indicate stronger voiced letters.
Table 4. The gematrical values of the Arabic alphabet
|
|
|
|
|
|
|
|
Alef
1
(A) |
Ya'
10
(Y) |
TTa'
9
(TT) |
Ha'
8
(H) |
Zay
7
(Z) |
Waw
6
(W) |
Ha'
5
(H) |
Dal
4
(D) |
Jim
3
(C) |
Ba'
2
(B) |
Qaf
100
(Q) |
Saad
90
(S) |
Fa'
80
(F) |
'Ayn
70
(A) |
Seen
60
(S) |
Noon
50
(N) |
Mim
40
(M) |
Laam
30
(L) |
Kaf
20
(K) |
Ghayn
1000
(G) |
Za
900
(DH) |
Dad
800
(D) |
Dhal
700
(Z) |
Kha'
600
(K) |
Tha'
500
(TH) |
Ta'
400
(T) |
Shin
300
(SH) |
Ra'
200
(R) |
SIMILAR PHENOMENA IN PREVIOUS SCRIPTURES?
Mathematical composition of a scripture may not be exclusive to the Quran.
In a book entitled Studies in Jewish Mysticism (Dan, J. and Talmage, F.,
eds, 1982), there are indications that Rabbi Judah, the Pious, of the 12th
century AD, recognized a 19-based numerical structure in the morning prayer.
The following quote is taken from page 88 and 89 of this book:
The people [Jews] in France made it a custom to add [in the morning prayer]
the words: " 'Ashrei termimei derekh [blessed are those who walk on the righteous
way],ª and our Rabbi, the Pious, of blessed memory, wrote that they
were completely and utterly wrong. It is all gross falsehood, because there
are nineteen times that the Holy Name is mentioned [in that portion of the
morning prayer] ... and similarly you find the word 'Elohim nineteen times
in the pericope of Ve-'elleh shemot... Similarly, you find that Israil is
called "sons" nineteen times, and there are many examples. All these sets
of nineteen are intricately intertwined, and they contain many secrets and
esoteric meanings ...
WHY 19?
The mathematical coding of the scriptures with the number 19 makes one
wander the divine reason for using the number 19 instead of some other number.
Besides having unique mathematical properties, such as being a prime number,
the number 19 is the gematrical value of the word "ONE" in all scriptural
languages Aramaic, Hebrew, and Arabic. For example, in Arabic, the word for
"ONE" is "WAHD" (pronounced Waahed). Based on Table 4, the gematrical values
of the letters W, A, H, and D are 6, 1, 8, and 4, respectively. These numbers
add up to 19 (6+1+8+4=19).
Therefore, the number 19 can be looked at to signify the First Commandment
in all scriptures that there is only ONE God.
CONCLUSIONS
The discovery of the mathematical structures within the scriptures and
the divinely instituted liturgies have resulted in a number of important
conclusions. Some of these conclusions are stated in Studies in Jewish Mysticism
(Ibid., p.92):
(1) No change can be tolerated in the text of the prayers, not even a
minute one, because every change-even of one letter-would destroy the numerical
harmony inherent in the text...
(2) The liturgy received new importance and new meaning within the framework
of religious practice. A completely new dimension was added in this way to
the daily prayer service; it stopped being just a reciting of requests and
praises of God in ancient formulas, and became a vehicle for becoming a
participant in a mystical, divine harmony. The prayers suddenly received
a new depth of meaning and importance, which was undreamed of in the thousand
years that had passed since they were formulated.
The mathematically composed text in a scripture serves both as an
authenticating tool and as a guard to protect and preserve the scripture.
Obviously, finding original unaltered scripture such as the Quran is extremely
important. This fact can indeed be realized and proven by the remarkable
mathematical design of the Quran.
In the following chapters of this book, the reader is presented with the
physical facts, not opinions. Every attempt has been made to insure the accuracy
of these physical facts. However, it is up to the reader to verify them whenever
possible, as well as reflect on them. In fact, this strong advice is given
in the Quran itself: "You shall not accept any information, unless you verify
it for yourself. I have given you the hearing, the eyesight, and the brain,
and you are responsible for using them." (17:36).
NUM
19 |
|
|
A computer program to divide very
long numbers. It is free to
download
click
here |
|
|
4
THE OPENING STATEMENT
The first verse of the Quran is "In the name of God, Most Gracious, Most
Merciful." In Arabic, it is pronounced as Bism Allah Al-Rahman Al-Raheem,
and is commonly known as the Basmalah.
The Basmalah is so special and unique that it constitutes the foundation
upon which the Quran's 19-based mathematical composition is built. It is
the opening statement of the Quran, and is composed of exactly 19 Arabic
letters. These letters are given below in Table 5 with the approximate English
equivalents and their corresponding gematrical values.
Table 5. The 19 Arabic letters of the Basmalah and their
corresponding gematrical values. |
| Letter No. |
Arabic |
English |
Gematrical Value |
| 1 |
Baa' |
B |
2 |
| 2 |
Siin |
S |
60 |
| 3 |
Miim |
M |
40 |
| 4 |
'Alif |
A |
1 |
| 5 |
Laam |
L |
30 |
| 6 |
Laam |
L |
30 |
| 7 |
Haa' |
H |
5 |
| 8 |
'Alif |
A |
1 |
| 9 |
Laam |
L |
30 |
| 10 |
Raa' |
R |
200 |
| 11 |
H!aa' |
H |
8 |
| 12 |
Miim |
M |
40 |
| 13 |
Nuun |
N |
50 |
| 14 |
'Alif |
A |
1 |
| 15 |
Laam |
L |
30 |
| 16 |
Raa' |
R |
200 |
| 17 |
H!aa' |
H |
8 |
| 18 |
Yaa' |
Y |
10 |
| 19 |
Miim |
M |
40 |
MATHEMATICAL DESIGN OF THE BASMALAH
The four words and the 19 letters of the Basmalah are put together according
to a mathematical system which is humanly impossible to compose. This remarkable
system is based on the number and the gematrical values of the letters that
constitute the four words of the Basmalah. Let us first summarize the information
we need to know about the Basmalah in Table 6 before we review this incredible
mathematical system.
Table 6. The four words of the Basmalah, the English translation,
the numberof Arabic letters in each word, and their gematrical values.
|
| No. |
Arabic |
English |
#Letters |
Gematrical Value |
Total |
| 1 |
Bism |
In the name |
3 |
2, 60, 40 |
102 |
| 2 |
Allah |
God |
4 |
1, 30, 30, 5 |
66 |
| 3 |
Al-Rahman |
Most Gracious |
6 |
1,30,200,8,40,50 |
329 |
| 4 |
Al-Raheem |
Most Merciful |
6 |
1,30,200,8,10,40 |
289 |
TOTAL |
19 |
|
786 |
Using the data in Tables 5 and 6, we get the following
19-based mathematical facts:
FACT 1. The Basmalah consists of 19 Arabic
letters.
FACT 2. The sequence
number of each word in the Basmalah followed by the number of letters
in it forms an 8-digit number which is a multiple of 19:
1 3
2 4 3
6 4
6 = 19 x 19 x 36686
FACT 3. Replace the number of letters in
each word in Fact 2 by the total gematrical value of that word. Thus, the
sequence number of each word is followed by its total gematrical value, to
form a 15-digit number which is a multiple of 19:
1 102
2 66
3 329
4 289 = 19 x 5801401752331
FACT 4. Replace the total gematrical
value of each word in Fact 3 by the gematrical value of every letter in that
word. For instance, the total gematrical value of the first word, 102, is
replaced by 2 60 40. Similarly, the total gematrical value of the second
word, 66, is replaced by 1 30 30 5, and so on. The result is a 37-digit number
which is a multiple of 19:
1 2 60 40
2 1 30 30 5
3 1 30 200 8 40 50
4 1 30 200 8 10 40 = 19 x
66336954226595422109686863843162160
FACT 5. Insert the
sequence number of each letter
in the
word before its gematrical value in Fact 4. For example, the gematrical values
of the letters in first word are 2 60 40. When we insert the
sequence numbers of the letters, we get
1 2
2 60
3 40, where the sequence numbers are
in italics, the gematrical values are
in bold. Similarly, the gematrical values of the letters in the second word
are 1 30 30 5. When we insert the sequence numbers of the letters, we get
1 1 2
30 3
30
4 5, and so on. When all the numbers
are put together, the result is a 56-digit number which is a multiple of
19:
1
1 2 2
60 3 40
2
1 1
2 30 3
30 4 5
3
1 1
2 30 3
200 4 8
5 40
6 50
4 1
1 2 30
3 200
4 8
5 10
6 40 = 19 x 590843895848580686595 . .
.
FACT 6. Replace the total gematrical value
of each word in Fact 3 by the sum of the gematrical values of the first and
the last letter in that word. For instance, the total gematrical value of
the first word, 102, is replaced by 42. The number 42 is the sum of 2 and
40, which are the gematrical values of the first and the last letter in the
first word. Similarly, the total gematrical value of the second word, 66,
is replaced by 6, the sum of 1 and 5. Repeating this process for the four
words of the Basmalah,we get an 11-digit number which is a multiple of 19:
1 42 2
6 3
51
4 41 = 19 x 748755339 (2+40) (1+5)
(1+50) (1+40)
FACT 7. Consider the numbers used
in Fact 2 and Fact 3. In Fact 2, the sequence number
of each word is followed by the number of letters (3, 4, 6, and 6)
in the word. In Fact 3, we replace the number letters by the gematrical values
of the words (102, 66, 329, and 289). Now, for this case, the
sequence number of each word will be followed
by the sum of the number of letters and the gematrical value of the word.
Therefore, the number we use for the first word will be 105 (3+102). It will
be70 (4+66) for the second word, 335 (6+329) for the third word, and 295
(6+289) for the fourth word. Thus the sequence number of each word in the
Basmalah is followed by the numbers 105, 70, 335, and 295 respectively to
form a 15-digit number which is also a multiple of 19:
1 105
2 70
3 335
4 295 = 19 x 5817212281805 (3+102)
(4+66) (6+329) (6+289)
FACT 8. Consider Fact 2, where the
sequence number of each word in the Basmalah
is followed by the number of letters in the word. In this case, the
sequence number of each word will be followed
by the total number of letters up to and including that word (cumulative
total). For example, the number of letters in the Basmalah's four words are
3, 4, 6 and 6, respectively. Then the cumulative total number of letters
will be 3 for the first word. It will be 7 (3+4) for the second word, 13
(3+4+6) for the third word, and finally 19 (3+4+6+6) for the last word.
Therefore, we write down the sequence numbers of the words followed by the
cumulative total number of letters corresponding to the word. The result
is a 10-digit number which is also a multiple of 19:
1 3
2 7
3 13
4 19 = 19 x 69858601
(3+4) (3+4+6)
(3+4+6+6)
FACT 9. This fact is very similar
to Fact 8. In this fact, instead of using the cumulative total number of
letters for each word, we use the cumulative total of the gematrical values
of the letters corresponding to the word. For example, the gematrical value
of the letters in the Basmalah's four words are 102, 66, 329 and 289,
respectively. Then the cumulative total of the gematrical values of the letters
will be 102 for the first word. It will be 168 (102+66) for the second word,
497 (102+66+329) for the third word, and finally 786 (102+66+329+289) for
the last word.
Therefore, we write down the sequence numbers
of the words followed by the cumulative total of the gematrical values
of the letters corresponding to the word. The resultant 16-digit number is
a multiple of 19:
1 102
2
168
3 497
4 786 = 19 x 58011412367094
(102+66) (102+66+329) (102+66+329+289)
FACT 10. The gematrical value of each
letter is followed by its sequence number
(1
through 19) in the Basmalah to form a 62-digit number that is a multiple
of 19. The sequence numbers are printed in bold:
2
1 60 2 40
3
1
4 30 5 30
6 5
7
1
8 30 9 200
10 8 11 40
12 50
13
1 14
30 15 200 16 8
17 10 18 40
19 = 19 x 113696858647647 . . .
In this fact, each one of the four words of the Basmalah is underlined
to show the numbers representing these words. This information will be helpful
to understand the next fact.
FACT 11. Insert the
sequence number of each word (1, 2, 3, and 4)
at
the end of the underlined numbers in Fact 10 while keeping all the numbers
the same. The result is a 66-digit number that is a multiple of 19. The sequence
numbers of the words are printed in italics:
2 1 60 2
40 3 1
1 4 30 5 30
6 5 7
2
1 8 30 9
200 10 8 11 40 12 50
13
3
1 14 30 15
200 16 8 17 10 18 40 19
4 = 19 x 1136968584963 . .
.
FACT 12. Consider the numbers in Fact
11, and replace the sequence numbers of the words (1, 2, 3, and 4) with their
gematrical values (102, 66, 329, and 289),
while
keeping all the other numbers the same. The result is a 73-digit number,
also a multiple of 19:
2 1 60 2
40 3 102
1 4 30 5 30
6 5 7 66
1 8 30 9 200
10 8 11 40 12 50 13
329
1 14 30 15
200 16 8 17 10
18 40 19 289 =
19 x 113696858432 . . .
FACT
13. This time let us change
the position of the gematrical values of the words
(102, 66, 329, and 289) in Fact 12, and put them preceeding the words,
instead of following them. The resultant number, still 73 digits, is also
a multiple of 19:
102
2 1 60 2 40 3
66 1
4 30 5 30 6 5 7 329
1 8 30 9 200 10 8 11 40 12 50 13
289 1
14 30 15 200 16 8 17 10 18 40 19 = 19 x 5379790738 . . .
FACT 14. For each word of the Basmalah,
write down the following: a) Number of letters in the
word, b) The total gematrical value of the
word, c) The gematrical value of each letter in the word. For example,
consider the first word of the Basmalah. It has three letters. The total
gematrical value of these letters is 102. The individual gematrical values
of each letter are 2, 60, and 40 respectively. Therefore, we write 3 102
2 60 40 for the first word, and so on. The entire number is 48 digits long,
and is a multiple of 19. It is given below with the numbers for each word
underlined.
3
102
2 60 40
4
66 1 30 30 5
6
329 1 30 200 8 40 50
6
289 1 30 200 8 10 40 = 19 x 16327686340
. . .
FACT 15. In Fact 14, the total gematrical
values of the words are printed in bold.
Now,
we draw your attention to these bold numbers
as we place them as the last item in each underlined word. The resultant
number, still 48 digits long, is also a multiple of 19:
3
2 60 40
102
4
1 30 30 5 66
6
1 30 200 8 40 50 329
6
1 30 200 8 10 40 289
= 19 x 17160005390 . . .
FACT 16. Let us represent each one
of the four words of the Basmalah by the sequence number of the letters in
it. For example, the first word is represented by 123, since it has the first
three letters of the Basmalah. The second word is represented by 4567 since
it contains the letters 4, 5, 6, and 7. Similarly, the third word is represented
by 8910111213, and the fourth word by 141516171819, since they contain the
letters 8-13 and 14-19 respectively. If we add these four numbers representing
the words of the Basmalah, the result is a 12-digit number which is a multiple
of 19:
123 + 4567 + 8910111213 + 141516171819= 150426287722 = 19 x 7917173038
FACT 17. Consider the numbers that
represented each word of the Basmalah in Fact 16. Instead of adding these
numbers, we write each one down, followed by the sequence
number of the word. For example, the first number, 123, which represents
the first word, is followed by 1. The second number, 4567, which represents
the second word, is followed by 2, and so on. The result is now a 33-digit
number, also a multiple of 19:
1 2 3 1 4 5 6 7
2 8 9 10 11 12 13
3 14 15 16 17 18 19
4 = 19 x 64813512047900 . . .
FACT 18. This fact is based on three numbers
only. We know that the Basmalah consists of 4 words, 19 letters with a total
gematrical value of 786. Now, let us put these numbers together. The result
is a 6-digit number, a multiple of 19:
4 19 786 = 19 x 22094
FACT 19. The Basmalah is Verse 1 of
the Quran. It consists of 19 Arabic letters. These 19 letters constitute
the four words with the number of letters in each word being 3, 4, 6, and
6 respectively. Based on this information, let us write down 1 for the verse
number, followed by 19 for the number of letters, and followed by 3, 4, 6,
and 6 for the letters in each word of the Basmalah. The result is a 7-digit
number as follows:
1 19 3466 = 19 x 19 x 19 x 174
As we see, this number is not only once, or twice, but three times a multiple
of 19. Is it feasible for such an intricate, interwoven, and absolutely awesome
mathematical system to be nothing more than coincidence?
COINCIDENCE OR DIVINE DESIGN?
It is
very incredible for the four words and the 19 letters of the Basmalah to
result in so many numerical combinations based on the number 19. These
combinations do not seem to be haphazard either. They are very consistent.
For instance, let us look at the numbers in Facts 2 through 9. As you may
have noticed, the numbers in these facts are in the same format:
1 ? 2 ? 3 ? 4 ? = n
The numbers 1-4 represent the four words of the Basmalah. The question
marks represent any integer number. The resultant number "n" is a multiple
of 19. There are only two possible explanations for these numbers in Facts
2-9 being in this format. One explanation is that all this is coincidence.
After all, miraculous things do occasionally occur that cannot be explained
easily, if at all. The only other explanation is that the Basmalah has been
deliberately structured in a certain way to result in this remarkable
mathematical system. Let us try to figure out which explanation makes more
sense based on probability theory.
First, what is the probability (chances) for the Basmalah's mathematical
composition to occur by coincidence? Can we compute this probability? If
we can, how? Based on our assumption of coincidental occurrence, we can treat
each number in Facts 2-9 as a random number. The probability of several random
numbers being not only in a certain format, but also forming a number "n"
that is a multiple of 19, can be difficult to compute unless we make some
assumptions to simplify the problem. For example, the highest probability
(the best chance) of obtaining "n" will be when we assume that the four numbers
represented by the question marks above are all single digit numbers (0-9).
In that case, the resultant number ©nª will have 8 digits since
we know that the other four numbers are also single digit (1-4). Then we
can easily compute the probability of 8 random numbers resulting in the desired
format. Let us see how we can do this. Imagine that we are playing a lottery.
This lottery requires that we draw 8 numbers that are between 0 and 9. Anyone
who satisfies the following conditions wins the jackpot: 1. The first number
must be 1. 2. The third number must be 2. 3. The fifth number must be 3.
4. The seventh number must be 4. 5. All the numbers when put side by side
must form a numbethat is a multiple of 19.
The resultant 8-digit lottery numbers can vary anywhere from 00000000
to 99999999. This means there are 100 million possible outcomes or combinations.
How many times will the above winning conditions be satisfied out of this
many combinations? If we knew the answer, then we could determine the probability
or the chances of winning the lottery. In order to answer this question,
we wrote a computer program to go through every number from 0 to 99,999,999
and determine all the numbers that will satisfy the desired conditions. This
program found only 527 such numbers which ranged from 10,203,247 (first possible
combination) to 19,293,949 (last possible combination). Therefore, the chances
of winning this lottery is 527 out of 100 million or 1 out of 189,753. Based
on this information, we can say that the probability of the occurrence of
the mathematical phenomenon described in Fact 2, is 189,753 to 1. The probability
of the mathematical phenomenon in Fact 2 and Fact 3 occurring by coincidence
is the same as winning our lottery twice. To determine the probability of
winning the lottery twice, we multiply 189,753 by 189,753:
189,753 * 189,753 = 36,006,201,009
In other words, the probability of the mathematical phenomenon in Fact
2 and Fact 3 occurring by coincidence is less than 1 in 36 billion. In
comparison, in the California state lottery where six numbers are drawn out
of 51, someone has to buy about 18 million $1 tickets to cover every 6-number
combination for the grand prize. Therefore, the chances of winning the California
lottery, 1 in 18 million, is much better than the chances of the mathematical
phenomenon in Fact 2 and Fact 3 occurring by coincidence.Now, let us try
the same process once more, and pick another set of eight numbers that will
also meet the winning conditions. To determine the probability of winning
the lottery three times, or the probability of the mathematical phenomenon
in Fact 2, Fact 3 and Fact 4 occurring by coincidence, we multiply 189,753
by itself three times:
189,753 * 189,753 * 189,753 = 6,832,284,660,060,777
The above number is close to seven quadrillion! If you are wondering what
a quadrillion is, you are not alone. We had to look in the dictionary to
find out what follows the trillions. Thus, there is an almost 1 in seven
quadrillion probability that Fact 2, Fact 3, and Fact 4 will occur by
coincidence. As you can see, by considering just three of several mathematical
facts, we realize that the probability of such numerical combinations occurring
by coincidence is extremely miniscule. It is very clear that this probability
will approach zero as we take more and more mathematical facts into
consideration. Therefore, one would be illogical to even suggest that the
mathematical composition of the Basmalah is nothing more than a mere coincidence.
If we rule out the possibility of coincidence, then we have to accept the
other explanation that the Basmalah has been deliberately structured in a
particular way to result in this remarkable mathematical system. Can we also
rule out the possibility for such an intricate system being designed by any
other than God? All this will be discussed in the following sections and
chapters of this book. It is up to the individual to draw his or her own
conclusions from these presentations.
THE MISSING BASMALAH
The Basmalah occupies a special position in the
Quran. It is the opening statement in every one of the 114 chapters in the
Quran, except Chapter 9. The absence of the Basmalah from Chapter 9 had puzzled
generations of people who had studied the Quran for the last 14 centuries.
In fact, many theories were advanced to explain this phenomenon. As it turns
out, this is also a part of the mathematical composition that has been
intricately built into the Quran. Since the Quran consists of 114 (19 x 6)
chapters, the Basmalah missing from Chapter 9 should result in a total of
113 Basmalahs in the Quran, a number that is not a multiple of 19. However,
if we start counting from Chapter 9, we find that the missing Basmalah is
compensated for, exactly 19 chapters later, in Chapter 27. This chapter contains
two Basmalahs, one at the beginning and one in Verse 30. Thus, the total
number of Basmalahs in the Quran is restored to 114, or 19 x 6, with the
additional Basmalah in Chapter 27. Not only is the missing Basmalah found
19 chapters later, but the chapter and the verse number in which the extra
Basmalah occurs also adds up to 57 (27 + 30), or 19 x 3. This is quite
remarkable, and it shows us how the whole Quran is like a jigsaw puzzle with
all the pieces fit together in a 19-based mathematical system. The connection
between the missing and the extra Basmalah leads us to deliberate further
on the mathematical design of the Quran. If we add the chapter numbers starting
from Chapter 9 (with the missing Basmalah) up to Chapter 27 (with the extra
Basmalah), the total is 342 (9 + 10 + 11 + ... + 27 = 342). This total is
a multiple of 19, as it should be, since the sum of any 19 consecutive numbers
is a multiple of 19. However, what is remarkable is that if we count the
number of Arabic words from the first Basmalah in Chapter 27 to the second
one in verse 30 of the same chapter, we find that the total is exactly the
same as the number above, 342, or 19 x 18. The summary of the
mathematical
facts reviewed in this section is given below:
FACT 20. There are 114 (19 x 6) Basmalahs
in the Quran.
FACT 21. There are 19 chapters from the missing
Basmalah in Chapter 9 to the extra one found in Chapter 27 (both chapters
inclusive).
FACT 22. The extra Basmalah is found
in Chapter 27, verse 30. These two numbers add up to 57, or 19 x 3.
FACT 23. The number of Arabic words
from the first Basmalah in Chapter 27 to the second one in verse 30 of the
same chapter is 342, or 19 x 18. This is the same number obtained if we add
all the chapter numbers from Chapter 9 (with the missing Basmalah) through
Chapter 27.
A UNIQUE PHENOMENON
As stated
earlier, every chapter in the Quran starts with a Basmalah, except Chapter
9. However, none of these Basmalahs are assigned a verse number, except in
Chapter 1 where the Basmalah is in Verse 1. Yet, the unnumbered Basmalahs
are part of the Quran. The fact that they are unnumbered is also part of
the mathematical composition of the Quran. To demonstrate this point, we
assign a verse number of zero to each one of the unnumbered Basmalahs so
that they can be included in our study.
FACT 24.
Let us combine (put together)
the chapter number with the verse number where the Basmalah occurs, for each
of the 114 Basmalahs in the Quran, and add up all the combined numbers. The
concept of combined numbers will be explained below with the examples. The
first Basmalah occurs in Chapter 1, Verse 1. The combined number for this
Basmalah is 11 obtained by putting the two numbers (1 and 1) together. The
second Basmalah occurs in Chapter 2, Verse 0. The combined number for this
Basmalah is 20. If we add these two combined numbers, 11 and 20, we get 31.
We continue this process for each chapter. We skip Chapter 9 since it does
not have a Basmalah. On the other hand, we include Chapter 27 twice since
there are two Basmalahs in this chapter; one in Verse 0, the other is in
Verse 30. The combined numbers for this chapter are 270 and 2730, representing
the two Basmalahs in this chapter.The last Basmalah occurs in Chapter 114,
Verse 0. The combined number for this Basmalah is 1140. By adding up all
of the 114 combined numbers, we get a total of 68,191 or 19 x 3,589. This
process is demonstrated in Table 7.
Table 7. Mathematical system of adding the
combined numbers of chapter and the verse
number where the 114 Basmalahs occur |
| Chap. No. |
Basmalah Verse No. |
Combined No. |
| 1 |
1 |
11 |
| 2 |
0 |
20 |
| 3 |
0 |
30 |
| --- |
--- |
--- |
| --- |
--- |
--- |
| --- |
--- |
--- |
| 8 |
0 |
80 |
| 10 |
0 |
100 |
| --- |
--- |
--- |
| --- |
--- |
--- |
| 27 |
0 |
270 |
| 27 |
30 |
2730 |
| --- |
--- |
--- |
| --- |
--- |
--- |
| 112 |
0 |
1120 |
| 113 |
0 |
1130 |
| 114 |
0 |
1140 |
TOTAL |
68191 =19x3589 |
What is remarkable about the above phenomenon is that the 19-based
mathematical relationship holds true also when we repeat the same process
using only the odd or even numbered chapters. The resultant total for the
odd numbered chapters is 35,131 or 19 x 1,849. The total for the even numbered
chapters is 33,060 or 19 x 1,740.
THE FOUR WORDS OF THE BASMALAH
The
frequency of occurrence of every (Arabic) word of the Basmalah in the entire
Quran (excluding the unnumbered Basmalahs) is consistently a multiple of
19. These words are ISM, ALLAH, AL-RAHMAN, and AL-RAHEEM. Their English meanings
are NAME, GOD, MOST GRACIOUS, and MOST MERCIFUL, respectively. Note that
we are using ISM (Name) as the first word of the Basmalah, instead of the
word BISM (In the name). In other words, we are using the root word without
the prefix B (In the) in this counting. Table 8 below summarizes the mathematical
facts based on the number of occurrences of the Basmalah's words.
Table 8. The four words of the Basmalah and
their number of occurrences in the Quran |
| Word No. |
Arabic |
English |
No. of Occurence |
| 1 |
Ism |
Name |
19 |
| 2 |
Allah |
God |
2698 (19x142) |
| 3 |
Al-Rahman |
Most Gracious |
57 (19x3) |
| 4 |
Al-Raheem |
Most Merciful |
114 (19x6) |
Now, let us itemize the facts summarized in Table 8 with the additional
facts that make the mathematical system in the Quran even more incredible:
FACT 25. The first word in the Basmalah,
ISM (Name), occurs in the Quran exactly 19 times. The verses where this word
is mentioned are given in Table 9.
FACT 26. Using the information in
Table 9, let us write down the chapter number
followed by the verse number in which the word ISM (Name) occurs for each
one of its 19 occurrences, without repeating the chapter number if there
are more than one ISM in that chapter. The resultant number is 58 digits
and a multiple of 19. This is shown below with the
chapter numbers printed in bold:
5 4 6
118 119 121 138 22
28
34 36 40 49
11
55 78
56 74
96
69 52
73 8
76 25
87 1 15
96 1 = 19 x 2874305890111 ...
Table 9. The chapter and the verse numbers
where the word ISM (Name) occur in the Quran |
| No. |
Chapter No. |
Verse No. |
| 1 |
5 |
4 |
| 2 |
6 |
118 |
| 3 |
6 |
119 |
| 4 |
6 |
121 |
| 5 |
6 |
138 |
| 6 |
22 |
28 |
| 7 |
22 |
34 |
| 8 |
22 |
36 |
| 9 |
22 |
40 |
| 10 |
49 |
11 |
| 11 |
55 |
78 |
| 12 |
56 |
74 |
| 13 |
56 |
96 |
| 14 |
69 |
52 |
| 15 |
73 |
8 |
| 16 |
76 |
25 |
| 17 |
87 |
1 |
| 18 |
87 |
15 |
| 19 |
96 |
1 |
FACT 27. The word ISM (Name) with the prefix
B (In the) makes the word BISM (In the name). This word occurs in the Quran
in this particular spelling only 3 times; in Chapter 1, Verse 1; Chapter
11, Verse 41 and