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For question borderline with, or having application to, computer science. Consider also posting http://cs.stackexchange.com/ or http://cstheory.stackexchange.com/ instead of here, if appropriate.

4 votes

Problems known to be in both NP and coNP, but not known to be in P

Since you mentioned integer factoring, an analogous problem is the discrete log problem. Given the cyclic group $G = \mathbb{Z}^*_p$ for a prime $p$ and any generator $g$ of $G$ along with another $h …