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%I #13 Nov 28 2019 15:46:45
%S 3,7,39916801,13763753091226345046315979581580902400000001,
%T 33452526613163807108170062053440751665152000000001,
%U 4470115461512684340891257138125051110076800700282905015819080092370422104067183317016903680000000000000001
%N Primes of the form p! + 1 where p is prime.
%C The values of p are 2, 3, 11, 37, 41, 73 which is A093804 (with a different definition). Subsequence of A088332 (primes of the form n! + 1).
%D R. K. Guy, Unsolved Problems in Number Theory, Section A2.
%H R. Mestrovic, <a href="http://arxiv.org/abs/1202.3670">Euclid's theorem on the infinitude of primes: a historical survey of its proofs (300 BC--2012) and another new proof</a>, arXiv preprint arXiv:1202.3670, 2012 - From N. J. A. Sloane, Jun 13 2012
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FactorialPrime.html">Factorial Prime</a>
%H <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers.</a>
%e 2 and 2! + 1 = 3 are prime, so 3 is a member.
%t Select[Table[p!+1,{p,Prime[Range[30]]}],PrimeQ] (* _Harvey P. Dale_, Nov 28 2019 *)
%Y Cf. A093804, A002981, A088332, A103318.
%K hard,nonn
%O 1,1
%A _Jonathan Sondow_, Jan 31 2005