Mathematics of Computation

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Authors: Jean-marc Deshouillers, François Hennecart, Bernard Landreau, I. Gusti, Putu Purnaba
Cited by: 76
References: 7

Abstract

Abstract. For each prime p, letp # be the product of the primes less than or equal to p. We have greatly extended the range for which the primality of n! ± 1andp # ± 1 are known and have found two new primes of the first form (6380! + 1, 6917! − 1) and one of the second (42209 # + 1). We supply heuristic estimates on the expected number of such primes and compare these estimates to the number actually found. 1.

Fields of Study & Subjects

Computability Logic AI Algorithms

Publication details

Journal / source
Mathematics of Computation
Publisher
American Mathematical Society (AMS)
Publication date
16 March 2026
Language
EN