1 - Introduction

We have already seen that a fair alternative reading of the Hebrew text reveals the opening 8 words of Torah to be the numbers {913, 203, 86, 401, 395, 407, 296, 302} - the first 7 representing Genesis 1:1, and the 8th, the first word of the following verse. Just as the sum of the first 7 (ie 2701) is found to be a triangular number (the 73rd) and multiple of 37 (the first of the two trifigurate numbers), so the sum of the first 8 (ie 3003) is also revealed to be triangular (the 77th) and multiple of 91 (the other trifigurate number). Again, the addition of words 6 and 7 (ie 703) generates a third triangular number (the 37th) - the sum of words 1 - 5 (ie 1998), as we have seen, dividing evenly as (913 + 86) = (203 + 401 + 395) = 999. A similar situation arises within words 2 - 7, where we found (203 + 395 + 296) = (86 + 401 + 407) = 894. In these divisions we noted the exclusion of the final pair and the first, respectively, of Genesis 1:1. The purpose of this supplement is to consider a third instance of an even division in these opening words (now, however, augmented to 8) involving the exclusion of 401 - the central, and untranslatable, word of the first verse.

2 - The continuing story

Let us then observe that (913 + 86 + 302) = (203 + 395 + 407 + 296) = 1301 - so that the pattern here takes the form 1301 + 401 + 1301 = 3003. Both 1301 and 401 are prime numbers and, like 2701 (sum of the first 7) are each equivalent to 1 modulo 10^2. Again, each may be expressed as the sum of two squares, thus: 1301 = 625 + 676 (ie 25^2 + 26^2), and 401 = 400 + 1 (ie 20^2 + 1^2). Further, because the first is the sum of adjacent squares, it has a single geometrical presence as the 26th diamond, depicted below:

Again, 1301 - 401 = 900 = 30^2; thus, 401 = 1301 - 30^2 - and a neat pictorial representation appears possible. However, 1301-as-diamond is unable to accomodate so large a square, and the best available geometrical expression of 3003 is the following:

Observe that in the symmetry that accompanies this third division 401 appears (within the confines of 1301-as-diamond) as 4.10^2 + 1. The affinity that clearly exists between these numbers that define the sum of the first 8 words should not be overlooked. Things needn't have happened this way! Even their difference, 900, misses out on being a factor of 2701 (ie Genesis 1:1) by a mere hair's breadth!

3 - The 'Stickler' set

One of the first FORTRAN programming exercises encountered by the writer required the student to determine all 3-digit numbers that were each the sum of the cubes of their individual digits. These were designated "The Sticklers" by the author of the book in which the problem appeared. It turns out that there are just four numbers that meet this specification, viz {153, 370, 371, 407}. The 2nd and 4th are multiples of 37 - their sum, 777; the former is a cyclic permutation of 703 (sum of words 6 and 7 of the Bible's first verse) and of 37, while the latter is the actual value of word 6! But observe also that the 1st and 3rd occur as surface features of the Judaeo-Christian Scriptures: 153 (17th triangular number) - the number of fishes caught in a net (John 21:11), and 371 - the duration of the Flood in days (Genesis 7-8)! But of particular interest in the current context is the fact that the sum of the first three is 894, while all four total 1301! As we have seen, these precise numbers appear in connection with even divisions within the first eight words of the Bible. All things considered, therefore, there clearly exists a surprisingly high degree of integration between what otherwise must be considered to be independent sets.

4 - Conclusion

There can be little doubt that He who first uttered the Bible's opening words was not only aware of the Sticklers, but actually incorporated them into the underlying structure. Who is able to provide a natural explanation of such mysteries? Who has the courage to begin to try?!

Let us finally observe that the Sticklers essentially involve the cubes of the natural numbers as mediated by 10 - radix of our number system.

Vernon Jenkins MSc

2002-11-4