%I #7 Nov 20 2024 16:13:35

%S 3,5,7,29,937,229637,13299311027,678264862277,2229272062327,

%T 8260613413473469333910627,

%U 204676724960380351177777255683652821505300292407056383439453127,359539042675600162641430486036393282148945045174959856388131309765627

%N Primes of the form k!6+2, where k!6 is the sextuple factorial number (A085158).

%H Robert Price, <a href="/A288891/b288891.txt">Table of n, a(n) for n = 1..15</a>

%H Henri& Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n6+2&amp;action=Search">PRP Records.Search for n!6+2.</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] + 2, {i, 0, 100}], PrimeQ[#]&]

%t Select[Table[Times@@Range[n,1,-6]+2,{n,250}],PrimeQ] (* _Harvey P. Dale_, Nov 20 2024 *)

%Y Cf. A287207.

%K nonn,changed

%O 1,1

%A _Robert Price_, Jun 18 2017