cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A177771 a(n) = (prime(n) - 1)!.

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%I A177771 #24 Mar 29 2025 15:31:20
%S A177771 1,2,24,720,3628800,479001600,20922789888000,6402373705728000,
%T A177771 1124000727777607680000,304888344611713860501504000000,
%U A177771 265252859812191058636308480000000
%N A177771 a(n) = (prime(n) - 1)!.
%C A177771 By Wilson's theorem, a(n) = -1 (mod p) where p is the n-th prime. - _Charles R Greathouse IV_, Sep 04 2013
%D A177771 Paulo Ribenboim, The Little Book of Bigger Primes, Springer-Verlag NY 2004. See p. 21.
%H A177771 Vincenzo Librandi, <a href="/A177771/b177771.txt">Table of n, a(n) for n = 1..80</a>
%F A177771 a(n) = A010050(A005097(n-1)). a(n)^2 = A177926(n). - _R. J. Mathar_, May 24 2010
%t A177771 (Prime[Range[12]]-1)! (* _Harvey P. Dale_, Jul 12 2011 *)
%o A177771 (Magma) [Factorial(p-1): p in PrimesUpTo(20)]; // _Vincenzo Librandi_, May 31 2013
%o A177771 (PARI) apply(p->(p-1)!,primes(10)) \\ _Charles R Greathouse IV_, Sep 04 2013
%Y A177771 Cf. A006093, A039716.
%K A177771 nonn
%O A177771 1,2
%A A177771 _Giovanni Teofilatto_, May 13 2010