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A236169 Numbers n such that n!*3^n + 1 is prime. 1

%I #14 Jul 23 2017 03:16:15

%S 0,2,3,8,13,19,124,199,288,359,692,3610,5316,5372,7442,8251,14288,

%T 16883,17131

%N Numbers n such that n!*3^n + 1 is prime.

%C a(20) > 25000.

%C Corresponding primes are all verified prime (i.e., not probable prime): 2, 19, 163, 264539521, 9927882482918401, 141383412854531380076544001, ...

%t Do[f=n!*3^n+1;If[PrimeQ[f],Print[{n,f}]],{n,0,25000}]

%o (PARI) isok(n) = isprime(n!*3^n + 1); \\ _Michel Marcus_, Jul 23 2017

%Y Cf. A091415, A002982, A121859.

%K nonn,more

%O 1,2

%A _Robert Price_, Jan 19 2014

%E a(1)=0 prepended by _Robert Price_, Jul 22 2017

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Last modified April 19 12:14 EDT 2024. Contains 371792 sequences. (Running on oeis4.)