English

A new explicit expansion approach to Mersenne primes

General Mathematics 2022-05-19 v4

Abstract

This paper first proves what the author called the Eight Levels Theorem and then highlights a new explicit expansion approach to Lucas-Lehmer primality test for Mersenne primes and gives a new criterion for Mersenne compositeness. Also, we prove four new combinatorial identities.

Keywords

Cite

@article{arxiv.2108.13792,
  title  = {A new explicit expansion approach to Mersenne primes},
  author = {Moustafa Ibrahim},
  journal= {arXiv preprint arXiv:2108.13792},
  year   = {2022}
}

Comments

26 pages

R2 v1 2026-06-24T05:33:40.962Z