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Primes of the form k!6+12, where k!6 is the sextuple factorial number (A085158).
1

%I #9 Aug 19 2022 13:50:45

%S 13,17,19,67,103,947,1741,21517,43237,894930587,23481740411754637,

%T 606997343490162637,3312764729596766399944113137,

%U 1140711996797519078728387466887,815970262367657972299041020065569977629234387,20881494984250735169104758744498001297509736890637

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

%H Robert Price, <a href="/A288612/b288612.txt">Table of n, a(n) for n = 1..22</a>

%H Henri& Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n6+12&amp;action=Search">PRP Records.Search for n!6+12.</a>

%H Joe McLean, <a href="http://web.archive.org/web/20091027034731/http://uk.geocities.com/nassarawa%40btinternet.com/probprim2.htm">Interesting Sources of Probable Primes</a>

%H OpenPFGW Project, <a href="http://sourceforge.net/projects/openpfgw/">Primality Tester</a>

%t MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];

%t Select[Table[MultiFactorial[i, 6] + 12, {i, 0, 100}], PrimeQ[#]&]

%t Select[Table[Times@@Range[n,1,-6]+12,{n,200}],PrimeQ] (* _Harvey P. Dale_, Aug 19 2022 *)

%Y Cf. A288155.

%K nonn

%O 1,1

%A _Robert Price_, Jun 11 2017