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A289731 Primes of the form k!6-16, where k!6 is the sextuple factorial number (A085158).

%I A289731 #12 Apr 07 2025 14:10:45
%S A289731 11,389,919,8549258359016359,17694587964658118355578965371540271859,
%T A289731 2388769375228845978003160325157936703109,
%U A289731 8683819409894057159419555626890338258005375505954181180185677734359,17716286327840198014156487199443278977889267100996146923525170288701171859
%N A289731 Primes of the form k!6-16, where k!6 is the sextuple factorial number (A085158).
%H A289731 Robert Price, <a href="/A289731/b289731.txt">Table of n, a(n) for n = 1..11</a>
%H A289731 Henri & Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n6-16&amp;action=Search">PRP Records.Search for n!6-16.</a>
%H A289731 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 A289731 OpenPFGW Project, <a href="http://sourceforge.net/projects/openpfgw/">Primality Tester</a>
%t A289731 MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];
%t A289731 Select[Table[MultiFactorial[i, 6] - 16, {i, 8, 100}], PrimeQ[#]&]
%t A289731 Select[Table[Times@@Range[n,1,-6]-16,{n,9,500}],PrimeQ] (* _Harvey P. Dale_, Apr 07 2025 *)
%Y A289731 Cf. A289689.
%K A289731 nonn
%O A289731 1,1
%A A289731 _Robert Price_, Jul 10 2017