A288616 - OEIS

%I #9 Apr 12 2022 12:16:16

%S 29,31,43,67,251,4507,14107,116507,3727387,536166427,

%T 3863281304394304907431116800027,448140631309739369262009548800027,

%U 749208909436911824731413869422968832000027,110882918596662950060249252674599387136000027

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

%H Robert Price, <a href="/A288616/b288616.txt">Table of n, a(n) for n = 1..16</a>

%H Henri& Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n6+27&amp;action=Search">PRP Records.Search for n!6+27.</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] + 27, {i, 0, 100}], PrimeQ[#]&]

%t Select[Table[Times@@Range[n,1,-6]+27,{n,200}],PrimeQ] (* _Harvey P. Dale_, Apr 12 2022 *)

%Y Cf. A288447.

%K nonn

%O 1,1

%A _Robert Price_, Jun 11 2017