A288612 Primes of the form k!6+12, where k!6 is the sextuple factorial number (A085158).

13, 17, 19, 67, 103, 947, 1741, 21517, 43237, 894930587, 23481740411754637, 606997343490162637, 3312764729596766399944113137, 1140711996797519078728387466887, 815970262367657972299041020065569977629234387, 20881494984250735169104758744498001297509736890637

Offset

1,1

Links

Robert Price, Table of n, a(n) for n = 1..22

Henri& Renaud Lifchitz, PRP Records.Search for n!6+12.

Joe McLean, Interesting Sources of Probable Primes

OpenPFGW Project, Primality Tester

Mathematica

MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];
Select[Table[MultiFactorial[i, 6] + 12, {i, 0, 100}], PrimeQ[#]&]
Select[Table[Times@@Range[n, 1, -6]+12, {n, 200}], PrimeQ] (* Harvey P. Dale, Aug 19 2022 *)

Crossrefs

Cf. A288155.

Sequence in context: A105896 A112741 A111380 * A109775 A108560 A274422

Adjacent sequences: A288609 A288610 A288611 * A288613 A288614 A288615

Keyword

nonn

Author

Robert Price, Jun 11 2017

Status

approved