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Hang with me! This is *not* a math shitpost, I repeat, it is NOT a math shitpost, not entirely anyway.
It appears there is for products of two non-trivial factors, a real number n (well a rational number anyway) such that p/n = i (some number in the set of integers), whos factor chain is apparently no greater than floor(log(log(p))**2)-2, and whos largest factor is never greater than p^(1/4).
And that this number is at least derivable, laboriously with the following:
where p=a*b
https://pastebin.com/Z4thebha
And assuming you have the factors of p/z = jkl..
then instead of doing
p/(jkl..) = z
you can do
p-(jkl) to get the value of [result] whos index is a-1
Getting the actual factor tree of p/z is another matter, but its a start.
Edit: you have to provide your own product.
Preferably import Decimal first.
random
notatotalshitpost
prime factorization
math