A100842 Primes of the form k^k + 10.

11, 37, 823553, 387420499, 112595147462071192539789448988889059930192105219196517009951969

Offset

1,1

Links

Table of n, a(n) for n=1..5.

Example

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.

Mathematica

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

Prog

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

Crossrefs

Cf. A100839 (corresponding k).

Sequence in context: A012820 A162929 A116059 * A057664 A279770 A071853

Adjacent sequences: A100839 A100840 A100841 * A100843 A100844 A100845

Keyword

nonn,hard

Author

Cino Hilliard, Jan 07 2005

Extensions

Corrected by T. D. Noe, Nov 15 2006

Status

approved