A162603 Primes of the form k^k - k! + 1.

3, 233, 9996371201, 11111919647266817

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Jul 07 2009

Keywords

• nonn

Comments

The next term is too large to include.

The next term, a(5), has 527 digits and derives from n=224. - Harvey P. Dale, Jun 03 2014

Examples

			2^2-2!+1 = 4-2+1 = 3, 4^4-4!+1 = 256-24+1 = 233, ...
		

Crossrefs

Primes of the form A036679(k)+1.

Programs

Mathematica

f[n_]:=n^n-n!+1; lst={};Do[p=f[n];If[PrimeQ[p],AppendTo[lst,p]],{n,2*5!}];lst
Select[Table[n^n-n!+1,{n,30}],PrimeQ] (* Harvey P. Dale, Jun 03 2014 *)