Wolstenholme and Morley, Primes and Pseudoprimes

2013/06/09 by Aebi, Christian
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1306.2005

Abstract

In this note, we prove p² is a Morley pseudoprime (of order 2) iff p² is a Wolstenholme pseudoprime (of order 2) iff p is a Wolstenholme prime iff p is a Morley prime. Concerning pseudoprimes of order 1 that are not powers of primes, only 3 are known of Wolstenholme's type and absolutely none have yet been identified of Morley's type.

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