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- C. Caldwell and Y. Gallot, "On the primality of n! ± 1 and 2 × 3 × 5 × ... × p ± 1," Math. Comp., 71:237 (2002) 441--448. MR 2002g:11011
For each prime p let p# be the product of the primes less than or equal to p. We have greatly extended the range for which the primality of n! ± 1 and p# ± 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.
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