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A084898 Numbers k such that k^k*k! + 1 is prime. 0

%I #16 Jun 05 2022 00:43:23

%S 1,3,7,13,23,55,90,337,2313,8767

%N Numbers k such that k^k*k! + 1 is prime.

%C All terms under 500 correspond to certified primes (Primo 2.2.0 beta). a(10) > 2500. - _Ryan Propper_, Apr 05 2006

%C a(11) > 10000. - _Eric Snyder_, Jun 03 2022

%e 7 is in the sequence because 7^7*7! + 1 = 4150656721 is prime.

%t Do[If[PrimeQ[n^n*n!+1], Print[n]], {n, 600}]

%Y Cf. A002981, A002982.

%K more,nonn

%O 1,2

%A _Farideh Firoozbakht_, Jul 14 2003

%E a(9) from _Ryan Propper_, Apr 05 2006

%E a(10) from _Eric Snyder_, Jun 03 2022

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Last modified May 23 18:34 EDT 2024. Contains 372765 sequences. (Running on oeis4.)