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 A088332 Primes of the form n! + 1. 18
 2, 3, 7, 39916801, 10888869450418352160768000001, 13763753091226345046315979581580902400000001, 33452526613163807108170062053440751665152000000001 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Of course 2 = 0! + 1 = 1! + 1 has two such representations. Prime numbers that are the sum of two factorial numbers. - Juri-Stepan Gerasimov, Nov 08 2010 LINKS T. D. Noe, Table of n, a(n) for n=1..11 R. Mestrovic, Euclid's theorem on the infinitude of primes: a historical survey of its proofs (300 BC--2012) and another new proof, arXiv preprint arXiv:1202.3670, 2012 - From N. J. A. Sloane, Jun 13 2012 EXAMPLE 3! + 1 = 7 is prime. MATHEMATICA lst={}; Do[p=n!+1; If[PrimeQ[p], AppendTo[lst, p]], {n, 0, 3*5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jan 27 2009 *) PROG (PARI) factp1prime(n)=for(x=1, n, xf=x!+1; if(isprime(xf), print1(xf", "))) CROSSREFS Cf. A002981 (values of n). Sequence in context: A088252 A196303 A048979 * A131959 A202688 A021046 Adjacent sequences:  A088329 A088330 A088331 * A088333 A088334 A088335 KEYWORD nonn AUTHOR Cino Hilliard, Nov 06 2003 EXTENSIONS The next term is too large to include. STATUS approved

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Last modified December 18 06:35 EST 2018. Contains 318215 sequences. (Running on oeis4.)