The numerical miracle of Bism Allah Arahmn Araheem
MATHEMATICAL DESIGN OF THE BASMALLAH
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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, 3, 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? It is up to the individual to draw his or her own conclusions from these presentations .
