I've been Googleing for days now and haven't found a suitable answer to a question I have so I'll try it here. How exactly would knowing the distribution of prime numbers assist one in integer factorization?
IIRC, knowing the distribution wouldn't help one factor integers; it would allow one to prove that certain algorithms will work all of the time instead of a lot of the time, or it might allow one to devise a better bound on how long an algorithm has to run... things like these.
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