Have you given any thought to how many numbers you could have generated that way? You can group the digits of 3706 many ways:
37 + 06 = 43 and 43 is the 14th prime! (and there are 2 x 14 = 28 letters in Genesis 1:1!).
3 + 70 + 6 = 79 and 79 is the 22nd prime! (And there are 22 letters in the Hebrew alphabet!)
370 + 6 = 376 which is 673 backwards and 673 is the 122nd prime and 122 = 43 + 79, the two primes derived above! Wow!
I could go on and on finding coincidences. Such is a fool's errand. If you have no way to discern between chance and design, it means nothing. I've explained this to you a million times and you have not shown any understanding. Don't you care about truth at all?
37 | abcdef (means 37 divides abcdef)
This implies that 37 | (abc x 1000 + def)
And this implies that 37 | (abc x 999 + (abc + def)
And since 37 | 999, we have the proof of your statement that 37 | (abc + def).
It's a trivial mathematical fact. It applies to any prime factor of a repdigit that is grouped according the cycle length of the cycle.
E.g. Consider 11111 = 41 x 271 and an arbitrary multiple of 41 that I just made up: 3959903 = 41 x 96583 and let's group the digits in groups of 5:
39 + 59903 = 59942 = 41 x 1462
Likewise, we could have used an arbitrary multiple of 271, such as
271 x 947153 = 256678463
Now group the digits in groups of 5:
2566 + 78463 = 81029 = 271 x 299
There's no magic going on here. It's just basic number theory. This is why anyone with any knowledge of mathematics would not be impressed by most of your findings. Some of them, of course, are quite intriguing (such as the creation holograph), but the authentic results get totally buried in your blizzard of meaningless coincidences. You work, therefore, is actually hindering what you hope it will accomplish.
Now let me give you a clue. The numbers you are playing with are relatively small. So shifting by one can make a big difference. I consider it cheating.
What distribution would you expect if you applied to same formula to all numbers? Again, you are just grabbing random coincidences without any rhyme, reason, or principle. You don't even understand the basic principles that govern the numerical phenomena so you imagine that any pattern you find was designed by God. That's just nuts.
And besides, your system is way over-determined. Just a few of the coincidences would be enough to determine the set of numbers that could generate them. Everything else follows by necessity.
And given the way that Pascal's triangle is defined [the rows are binomial coefficients generated from expanding (x + y)^n], the rows automatically sum to one less than the powers of 2! Doh!
Don't you want anyone to take you seriously? Don't you want to know the truth?