A082671 Numbers n such that (n!-2)/2 is a prime.

3, 4, 5, 6, 9, 31, 41, 373, 589, 812, 989, 1115, 1488, 1864, 1918, 4412, 4686, 5821, 13830

Offset

1,1

Links

Table of n, a(n) for n=1..19.

Example

(4!-2)/2 = 11 is a prime.

Mathematica

Select[Range[0, 14000], PrimeQ[(#! - 2) / 2] &] (* Vincenzo Librandi, Feb 18 2015 *)

Prog

(PARI) xfactpk(n, k=2) = { for(x=2, n, y = (x!-k)/k; if(isprime(y), print1(x", ")) ) }
(Magma) [n: n in [1..600]| IsPrime((Factorial(n)-2) div 2)]; // Vincenzo Librandi, Feb 18 2015

Crossrefs

Cf. n!/m-1 is a prime: A002982, A082671, A139056, A139199, A139200, A139201, A139202, A139203, A139204, A139205; n!/m+1 is a prime: A002981, A082672, A089085, A139061, A139058, A139063, A139065, A151913, A137390, A139071

Sequence in context: A014101 A039035 A065798 * A353568 A364146 A059877

Adjacent sequences: A082668 A082669 A082670 * A082672 A082673 A082674

Keyword

hard,more,nonn

Author

Cino Hilliard, May 18 2003

Extensions

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 03 2008

Edited by T. D. Noe, Oct 30 2008

Status

approved