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Erdos problem 392

The proof here is adapted from https://www.erdosproblems.com/forum/thread/392#post-2696 which in turn is inspired by the arguments in https://arxiv.org/abs/2503.20170.

factorization-def to initial-factorization-medium-pri…

initial-factorization-small-prim… to erdos-sol-2

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