Timeline for Are there infinitely many non-Wolstenholme primes?
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Jan 11, 2012 at 23:07 | comment | added | François Brunault | Silverman proved that the abc-conjecture implies that there are infinitely many primes $p$ such that $2^{p-1} \not\equiv 1 \pmod{p^2}$ (Wieferich's criterion and the abc-conjecture, Journal of Number Theory, 1988). This suggests that your question might be difficult... | |
Jan 11, 2012 at 22:34 | comment | added | François Brunault | Are some upper bounds already known for the $p$-adic valuation of the quantities you mentioned ? By comparison, I'm not aware of decent upper bounds on the $p$-adic valuation of $2^p-2$ or $(p-1)!+1$, for example. | |
Jan 11, 2012 at 2:38 | history | asked | Julian Rosen | CC BY-SA 3.0 |