A new explicit expansion approach to Mersenne primes

Moustafa Ibrahim

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arXiv · 2108.13792

A new explicit expansion approach to Mersenne primes

Moustafa Ibrahim

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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.

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BibTeX RIS

Moustafa Ibrahim. 2022-05-18. A new explicit expansion approach to Mersenne primes. https://arxiv.org/abs/2108.13792

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