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A288891 Primes of the form k!6+2, where k!6 is the sextuple factorial number (A085158).

%I A288891 #7 Nov 20 2024 16:13:35
%S A288891 3,5,7,29,937,229637,13299311027,678264862277,2229272062327,
%T A288891 8260613413473469333910627,
%U A288891 204676724960380351177777255683652821505300292407056383439453127,359539042675600162641430486036393282148945045174959856388131309765627
%N A288891 Primes of the form k!6+2, where k!6 is the sextuple factorial number (A085158).
%H A288891 Robert Price, <a href="/A288891/b288891.txt">Table of n, a(n) for n = 1..15</a>
%H A288891 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 A288891 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 A288891 OpenPFGW Project, <a href="http://sourceforge.net/projects/openpfgw/">Primality Tester</a>
%t A288891 MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];
%t A288891 Select[Table[MultiFactorial[i, 6] + 2, {i, 0, 100}], PrimeQ[#]&]
%t A288891 Select[Table[Times@@Range[n,1,-6]+2,{n,250}],PrimeQ] (* _Harvey P. Dale_, Nov 20 2024 *)
%Y A288891 Cf. A287207.
%K A288891 nonn
%O A288891 1,1
%A A288891 _Robert Price_, Jun 18 2017