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

Author

Alexander Adamchuk, Mar 03 2007

Keywords

• hard
• more
• nonn
• less

Comments

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

Links

• Henri Lifchitz and Renaud Lifchitz, PRP Records.

Crossrefs

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

Programs

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 *)

PARI

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

Extensions

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

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