A100842 Primes of the form k^k + 10.

11, 37, 823553, 387420499, 112595147462071192539789448988889059930192105219196517009951969

Offset: 1

Author

Cino Hilliard, Jan 07 2005

Keywords

• nonn
• hard

Examples

			1^1 + 10 = 11, which is prime, so 11 is in the sequence.
3^3 + 10 = 27 + 10 = 37, which is also prime, so 37 is also in the sequence.
5^5 + 10 = 3125 + 10 = 3135 = 3 * 5 * 11 * 19, so 3135 is not in the sequence.
		

Crossrefs

Cf. A100839 (corresponding k).

Programs

Mathematica

Select[Table[n^n + 10, {n, 100}], PrimeQ] (* Alonso del Arte, Aug 05 2019 *)

PARI

f1(n) = for(x=1,n,y=x^x+10;if(ispseudoprime(y),print1(y", ")))

Extensions

Corrected by T. D. Noe, Nov 15 2006