Re: Fermat and Mersenne numbers are squarefree?
- --- In primenumbers@y..., "jbrennen" <jack@b...> wrote:
> I seem to remember reading about another well-known number theoryI answered my own question with a little research...
> conjecture which had something to do with Wieferich primes. If I
> remember correctly, either the truth or falsehood of said
> conjecture (I don't remember which) would imply an infinitude of
> Wieferich primes. Can anyone refresh my memory on this?
"The conjecture that there are no powerful number triples implies
that there are infinitely many Wieferich primes (Granville 1986,
Originally conjectured by Erdos, which automatically makes it
"well-known" in my book...