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by ColinWright
4052 days ago
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When you use factoring algorithms other than simple trial division - things like Pollard rho and its ilk - you are not guaranteed to get the smallest factor(s) first. Sometimes you get bigger factors, or combinations of factors, because those are what happen to pop out of the algebraic structure you're running over. But any "primes" being used should have some serious factorisation algorithms run over them before being used, so this is really embarrassing. EDIT And to answer contravariant's question[0]: Also, shouldn't it only
have 2 prime factors?
It's possible that one of the "primes" it found was in fact composite, and it's that "prime" that has these factors. So you generate two large primes and multiply them together, not realising that one of your "primes" wasn't.[0] https://news.ycombinator.com/item?id=9561051 |
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These primes could not have been generated by any reputable prime generation algos that I can imagine.