A100848 Numbers k such that k^k + k + 3 is prime.

1, 4, 7, 13, 19, 275, 329, 3703

Offset

1,2

Comments

All terms <3000 correspond to certified primes; 3703 corresponds to a probable prime. No more terms through 5000. - Ryan Propper, Sep 14 2005

No more terms through 20000. - Michael S. Branicky, Jun 29 2024

Links

Table of n, a(n) for n=1..8.

Prog

(PARI) f2(n) = for(x=0, n, y=x^x+x+3; if(ispseudoprime(y), print1(x", ")))

Crossrefs

Cf. A100849, A100850.

Sequence in context: A058570 A134781 A127977 * A051458 A068940 A147487

Adjacent sequences: A100845 A100846 A100847 * A100849 A100850 A100851

Keyword

hard,nonn

Author

Cino Hilliard, Jan 07 2005

Extensions

3703 from Ryan Propper, Sep 14 2005

Status

approved