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Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.

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 …