A288616 Primes of the form k!6+27, where k!6 is the sextuple factorial number (A085158).

29, 31, 43, 67, 251, 4507, 14107, 116507, 3727387, 536166427, 3863281304394304907431116800027, 448140631309739369262009548800027, 749208909436911824731413869422968832000027, 110882918596662950060249252674599387136000027

Offset: 1

Author

Robert Price, Jun 11 2017

Keywords

• nonn

Links

• Robert Price, Table of n, a(n) for n = 1..16
• Henri& Renaud Lifchitz, PRP Records.Search for n!6+27.
• Joe McLean, Interesting Sources of Probable Primes
• OpenPFGW Project, Primality Tester

Crossrefs

Cf. A288447.

Programs

Mathematica

MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];
Select[Table[MultiFactorial[i, 6] + 27, {i, 0, 100}], PrimeQ[#]&]
Select[Table[Times@@Range[n,1,-6]+27,{n,200}],PrimeQ] (* Harvey P. Dale, Apr 12 2022 *)