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Jun 2, 2012 at 15:51 comment added Noam D. Elkies And conversely, given a hard instance $S \subset {\bf R}^{> 0}$ of the partition problem, one can find $C>0$ and primes close enough to $\exp C\cdot S$ that their product is a hard instance of the nearest-factor problem at hand.
Jun 2, 2012 at 15:10 history answered Zander CC BY-SA 3.0