New solutions of 𝑎^{𝑝-1}≡1 (mod 𝑝²)

Author:

Montgomery Peter L.

Abstract

We tabulate solutions of a p 1 1 ( mod p 2 ) {a^{p - 1}} \equiv 1\;\pmod {p^2} where 2 a 99 2 \leq a \leq 99 and where p is an odd prime, p > 2 32 p > {2^{32}} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference5 articles.

1. Catalan’s equation 𝑥^{𝑝}-𝑦^{𝑞}=1 and related congruences;Aaltonen, M.;Math. Comp.,1991

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3. On Fermat’s quotient, base two;Lehmer, D. H.;Math. Comp.,1981

4. Gunderson’s function in Fermat’s last theorem;Shanks, Daniel;Math. Comp.,1981

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