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On the primality of $ k!+1$ and $ 2\ast 3$ $ \ast 5\ast \cdots \ast \,p+1$


Author: Mark Templer
Journal: Math. Comp. 34 (1980), 303-304
MSC: Primary 10A25; Secondary 10-04
DOI: https://doi.org/10.1090/S0025-5718-1980-0551306-2
MathSciNet review: 551306
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Abstract: In this paper the results of an investigation of $ k! + 1$ and $ 2 \ast 3 \ast 5 \ast \cdots \ast p + 1$ are reported. Values of $ k = 1(1)230$ and $ 2 \leqslant p \leqslant 1031$ were investigated. Five new primes were discovered.


References [Enhancements On Off] (What's this?)

  • [1] JOHN BRILLHART, D. H. LEHMER & J. L. SELFRIDGE, "New primality criteria and factorizations of $ {2^m} \pm 1$," Math. Comp., v. 29, 1975, pp. 620-647. MR 0384673 (52:5546)
  • [2] ALAN BORNING, "Some results for $ k! + 1$ and $ 2 \cdot 3 \cdot 5 \cdots p \pm 1$," Math. Comp., v. 26, 1972, pp. 567-570. MR 0308018 (46:7133)

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1980-0551306-2
Keywords: Pseudoprimality (psp), Euler's criterion
Article copyright: © Copyright 1980 American Mathematical Society

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