Journal of Integer Sequences, Vol. 28 (2025), Article 25.7.2

Two Mersenne Prime Conjectures


Samuel S. Wagstaff, Jr.
Center for Education and Research in Information Assurance and Security
and
Department of Computer Sciences
Purdue University
West Lafayette, IN 47907-1398
USA

Abstract:

We discuss two conjectures about Mersenne numbers, an old one and a new one. Heuristic arguments support both conjectures.

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(Concerned with sequences A000043 A000668 A000978 A000979 A083420 A103901 A107360.)

Received September 1 2025; revised version received September 27 2025. Published in Journal of Integer Sequences, December 4 2025.

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