A128451 Numbers k such that the absolute value of 11^k - k^11 is prime.

8, 14, 80, 212, 230, 1352, 13674, 16094, 44772

Offset

1,1

Comments

Two larger terms 13674 and 16094 found by Donovan Johnson, Jul 2005.

Links

Table of n, a(n) for n=1..9.

Henri Lifchitz and Renaud Lifchitz, PRP Records.

Mathematica

lst={}; k=11; Do[If[PrimeQ[Abs[k^n-n^k]], AppendTo[lst, n]], {n, 0, 10^4}]; lst (* Vladimir Joseph Stephan Orlovsky, Sep 10 2008 *)

Prog

(PARI) is(n)=ispseudoprime(abs(11^n-n^11)) \\ Charles R Greathouse IV, Feb 17 2017

Crossrefs

Cf. A072180, A109387, A117705, A117706, A128447, A128448, A128449, A128450, A122003, A128453.

Sequence in context: A389729 A236553 A050582 * A395800 A177170 A275006

Adjacent sequences: A128448 A128449 A128450 * A128452 A128453 A128454

Keyword

hard,more,nonn,less

Author

Alexander Adamchuk, Mar 03 2007

Extensions

a(6)-a(8) from Donovan Johnson, Feb 26 2008

a(9) discovered by Serge Batalov, entered by Robert Price, Apr 11 2019

Status

approved