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

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

Offset

1,1

Links

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

Example

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

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 *)

Prog

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

Crossrefs

Cf. A046029. Primes in A020549.

Sequence in context: A107633 A352973 A041959 * A189409 A222318 A084436

Adjacent sequences: A051736 A051737 A051738 * A051740 A051741 A051742

Keyword

nonn

Author

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

Extensions

More terms from James A. Sellers, Dec 08 1999

Status

approved