So I decided to factor 420 for NO REASON WHATSOEVER.
And I came to 2 2 3 5 7
and due to my escapades in project euler, I looked at those numbers and said "Huh, what if they were concatenated to form a new number? and the factor of THOSE???"
well, as it turns out - 22357 has the factors 79 and 283
and 79283 is - itself - a PRIME
OOOoooohhhh goody. I due hope that all numbers can reduce to the concatenated form of their divisors. I'll keep you posted on the result after I create the program and run the first 1000 or so numbers.
SO - this is how it goes my little mathletes:
Unfortunately some of the numbers continue to blow up beyond a limit.
The fastest way to run this test was to first create a nice little list of prime numbers below N. easy peasy according to THE sieve.
My first list was only up to 1 billion (I use only here in jest)
AND I tested 1 - 1000
well, up to 1 billion pre-created prime tests: (DRUM ROLL please)
592 reached a prime -- 406 of them grew beyond 1 billion
thats - a yes for an election atleast . . . . :O(
BUT - if I bump my precreated list to 5 billion
WELL, from 1 to 1000 had THIS outcome
641 reached a prime - 357 grew beyond 5 billion! ! ! ! ! ! ! ! ! ! - OH HAPPY DAY
WELL, while I was typing this update - I was rendering another outcome
from 1 to 10,000 under 1 billion
4071 reached a prime - 5927 blew beyond 1 billion
ok, well, as i type this - MrCool is cranking out 1 - 10,000 under 5 billion
we shall see. . . . . . . . .