A051739 Primes of the form (n!)^2 + 1.

2, 5, 37, 577, 14401, 131681894401, 13168189440001, 1593350922240001, 38775788043632640001, 384956219213331276939737002152967117209600000001

Offset: 1

Author

G. L. Honaker, Jr., Dec 06 1999

Keywords

• nonn

Examples

			37 is a term because it is prime and is (3!)^2 + 1.
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..12

Crossrefs

Cf. A046029. Primes in A020549.

Programs

Magma

[a: n in [1..50] | IsPrime(a) where a is  Factorial(n)^2+1]; // Vincenzo Librandi, Dec 08 2011

Mathematica

lst={};Do[s=n!^2;If[PrimeQ[p=s+1], AppendTo[lst, p]], {n, 5!}];lst (* Vladimir Joseph Stephan Orlovsky, Sep 27 2008 *)
Select[Table[(n!)^2+1,{n,1,5000}],PrimeQ] (* Vincenzo Librandi, Dec 08 2011 *)

Extensions

More terms from James Sellers, Dec 08 1999