The Consequences of Using Large Numbers as Codes:

By Ijaz Chaudry

The mathematical miracle of 19 occurs when a code (a number) based on the chapter and verses of the Quran completely divide by 19.

There is just over 5% chance that a number could be completely divisible by 19. This fact is based on figures derived from number 100.19, 38, 57, 76, 95 are all the numbers in 100 which are completely divisible by 19.

How do the permutations work:

The code is made up of arranged order of numbers. Before we get to the codes and how they are driven, we need to look briefly at how permutations of numbers work. We take a random number 5 and calculate its permutations. Permutation is how many ordered combination a number could have. Permutation of 5 is as follows;

5 x 4 x 3 x 2 x 1 = 120.  The derived number 120 is the amount of ordered combinations number 5 can have.

In order to visualise this concept, we take much smaller number of entity. The entity is 3 alphabets which are arranged into all its ordered combinations, as follows;

The following is an example of 3 elements in a set with their full permutations;

First we find out the number of permutations number 3 has;

3 x 2 x 1 = 6;

Now we arrange these letters to illustrate how 6 permutations work;

A b c, b a c, c a b, a c b, b c a, c b a;

As you can see each set of letters like “a b c” is unique in its combination and that in the universal set of all six combinations, we have exhausted maximum number of ordered combinations.

How large do the numbers get after permutations?

Now let’s take some more examples in order to see how relatively vast the permutations get;

Two Hundred;

5% of 200 is 200 x 0.05 = 10; this calculation is to do with calculating proportion of numbers within 200, which would be numbers which completely divide by 19. As described earlier there is about 5% probability that a number could be divisible of 19.

Now the permutations of 10 are as follows;

10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3,628,800;

So you can envisage something like “a b c d e f g h I j” as an entity of 10 alphabets, which needs to combine in all possible ways, similar to the example of 3 alphabets earlier. Now consider each alphabet to be part of the code, it could be a chapter number, a verse number or geometric value. Only one combination of these numbers would be a code.

This calculation tells us that there could be over 3 and half million ordered combinations from which only one correct ordered combination is the code we would be after.

Million:

This is a similar calculations as above (1000,000 x 0.05 = 50,000) and when we want to have all its permutations the number is so large that it will not be countable.

However, this is not the whole story because this number (50,000) is reduced further if we are limiting the code to certain number of digits. For example if we want the code to be between 900,000 and 1,000,000 which is the difference of 100,000 than we need only consider (100,000 x 0.05 = 5000) 5000 which is still a huge number when converted into its permutations.

Following is an example of 19 code, with 9 digits;

[4:123]  It is not in accordance with your wishes, or the wishes of the people of the scripture: anyone who commits evil pays for it, and will have no helper or supporter against GOD.

The code which follows is trying to confirm who the people of the scripture are addressed in this verse. Two geometric values of scriptures are used in this code Torah (1036) & Gospel or Injeel in Arabic (94). The constraints on this code is that the chapter number always appear before the verse this is common sense and logical, however verse can also appear on its own like in this code. The other aspect generally of a code is to take time in consideration called “Temporal connection”, as you can see Gv of Injeel (Gospel) appear first in the code. This means Gospel is the latest of the two scriptures. The code looks as follows;

941036 123 = 49528217 x 19

The total number of permutations for 9 digits as in above code is as follows;

9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362880;

So the unique code above is part of over three and half hundred thousand ordered combinations. So the question might be asked why did I not take 5% of 9 ? This is because the code is multiple of 19 which suggests that 5% constraints have already been applied, to the number system.

With large numbers the chance of getting multiples of 19 increases ten folds, however this happens at a cost, because out of thousands of multiples 19 codes only 1 code has to be the correct code and the probability of finding that code becomes very scarce.