OPEN
This is open, and cannot be resolved with a finite computation.
Are there infinitely many primes $p$ such that $p=2^kq+1$ for some prime $q$ and $k\geq 0$? Or $p=2^k3^lq+1$?
This is mentioned in problem B46 of Guy's collection
[Gu04].
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This page was last edited 30 September 2025.
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