A054461 Primes of the form (k+1)^k + k^(k-1), k >= 1.

3, 11, 73, 45143873, 1043046721, 1182114430632237601, 49814113380273715457

Offset

1,1

Comments

Terms correspond to k = 1, 2, 3, 8, 9, 15, 16, 219, ...

a(8) is approximately 9.8*10^512 (see the b-file).

Links

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

Prog

(PARI) xp1toxm1(n)= { forstep(x=2, n, 1, y=(x+1)^x + x^(x-1); if(isprime(y), print1(y" ")) ) }

Crossrefs

Sequence in context: A035378 A258387 A350834 * A342433 A374533 A203772

Adjacent sequences: A054458 A054459 A054460 * A054462 A054463 A054464

Keyword

nonn

Author

Cino Hilliard, Aug 30 2003

Extensions

Leading prime 3 added by Michel Lagneau, Nov 17 2010

Status

approved