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Numbers k such that k^k*k! - 1 is prime.
1

%I #14 Nov 01 2018 21:36:44

%S 2,4,30,94,113,162,296,3243

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

%C a(1)-a(8) have been proved to correspond to primes. No other terms less than 10000. - _Robert Price_, May 19 2012

%e 4 is in the sequence because 4!*4^4 - 1 = 6143 is prime.

%t Do[If[PrimeQ[n^n*n!-1], Print[n]], {n, 700}]

%Y Cf. A002981, A002982.

%K more,hard,nonn

%O 1,1

%A _Farideh Firoozbakht_, Jul 14 2003

%E a(8) = 3243 from _Robert Price_, May 19 2012