paratextMathematics of ComputationMar 16, 2026Closed access

Mathematics of Computation

JDJean-marc DeshouillersFHFrançois HennecartBLBernard LandreauIGI. GustiPPPutu Purnaba
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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.

Citation impact

76
total citations
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References
7
Citations per year

Authors

5
  • JD
    Jean-marc DeshouillersCorresponding
  • FH
    François Hennecart
  • BL
    Bernard Landreau
  • IG
    I. Gusti
  • PP
    Putu Purnaba

Topics & keywords

Topics
Keywords
  • Mathematics
  • Computation
  • Algebra over a field
  • Calculus (dental)
  • Applied mathematics
  • Pure mathematics
  • Algorithm
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