On the primality of 𝑘!+1 and 2∗3 ∗5∗⋯∗𝑝+1

Templer, Mark

doi:10.1090/S0025-5718-1980-0551306-2

Mathematics of Computation

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On the primality of $k!+1$ and $2\ast 3$ $\ast 5\ast \cdots \ast p+1$
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Math. Comp. 34 (1980), 303-304 Request permission

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

John Brillhart, D. H. Lehmer, and J. L. Selfridge, New primality criteria and factorizations of $2^{m}\pm 1$, Math. Comp. 29 (1975), 620–647. MR 384673, DOI 10.1090/S0025-5718-1975-0384673-1
Alan Borning, Some results for $k\,!\pm 1$ and $2\cdot 3\cdot 5\cdots p\pm 1$, Math. Comp. 26 (1972), 567–570. MR 308018, DOI 10.1090/S0025-5718-1972-0308018-5