English

Wolstenholme and Morley, Primes and Pseudoprimes

Number Theory 2022-09-27 v2

Abstract

In this note, we prove p2p^2 is a Morley pseudoprime (of order 2) iff p2p^2 is a Wolstenholme pseudoprime (of order 2) iff pp is a Wolstenholme prime iff pp 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.

Cite

@article{arxiv.1306.2005,
  title  = {Wolstenholme and Morley, Primes and Pseudoprimes},
  author = {Christian Aebi},
  journal= {arXiv preprint arXiv:1306.2005},
  year   = {2022}
}

Comments

Unfinished and containing mistakes

R2 v1 2026-06-22T00:30:36.669Z