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A128451 Numbers k such that the absolute value of 11^k - k^11 is prime. 8

%I #23 Jun 11 2021 09:47:29

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

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

%C Two larger terms 13674 and 16094 found by _Donovan Johnson_, Jul 2005.

%t 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 *)

%o (PARI) is(n)=ispseudoprime(abs(11^n-n^11)) \\ _Charles R Greathouse IV_, Feb 17 2017

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

%K hard,more,nonn,less

%O 1,1

%A _Alexander Adamchuk_, Mar 03 2007

%E a(6)-a(8) from _Donovan Johnson_, Feb 26 2008

%E a(9) discovered by _Serge Batalov_, entered by _Robert Price_, Apr 11 2019

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)