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From: achille on 8 Aug 2010 23:11
On Aug 9, 10:17 am, david <dlee...(a)yahoo.com> wrote:
> Consider the following equation under the given conditions
>
>    x^2 - y^k = 0 mod k^2               (1)
>
> Conditions: x, y are odd, coprime integers such that k is prime to xy
> and prime k > 3
>
> Conjecture: If (1) is satisfied then k is not a Wieferich prime.
>
> Any helpful comments upon the correctness of the conjecture will be
> appreciated.

False, 1064629^2 - 23^1093 = 0 mod 1093^2
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