A177771 Factorial of (prime(n) - 1).

1, 2, 24, 720, 3628800, 479001600, 20922789888000, 6402373705728000, 1124000727777607680000, 304888344611713860501504000000, 265252859812191058636308480000000

Offset

1,2

Comments

By Wilson's theorem, a(n) = -1 (mod p) where p is the n-th prime. - Charles R Greathouse IV, Sep 04 2013

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..80

Formula

a(n) = A010050(A005097(n-1)). a(n)^2= A177926(n). - R. J. Mathar, May 24 2010

Mathematica

(Prime[Range[12]]-1)! (* Harvey P. Dale, Jul 12 2011 *)

Prog

(Magma) [Factorial(p-1): p in PrimesUpTo(20)]; // Vincenzo Librandi, May 31 2013
(PARI) apply(p->(p-1)!, primes(10)) \\ Charles R Greathouse IV, Sep 04 2013

Crossrefs

Cf. A006093, A039716.

Sequence in context: A186246 A012161 A009724 * A009396 A338188 A274634

Adjacent sequences: A177768 A177769 A177770 * A177772 A177773 A177774

Keyword

nonn

Author

Giovanni Teofilatto, May 13 2010

Status

approved