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A289730 Primes of the form k!6-12, where k!6 is the sextuple factorial number (A085158).

%I A289730 #12 Jan 16 2024 15:02:30
%S A289730 43,79,21493,623633,21827563,49579063,104463111013,
%T A289730 32799650788086796039050613,101604346379043295513350613,
%U A289730 3312764729596766399944113113,40054638345554502541724271794363,268110968591974440568718596462044971863,10693051341516541524605341900168015859363
%N A289730 Primes of the form k!6-12, where k!6 is the sextuple factorial number (A085158).
%H A289730 Robert Price, <a href="/A289730/b289730.txt">Table of n, a(n) for n = 1..15</a>
%H A289730 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 A289730 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 A289730 OpenPFGW Project, <a href="http://sourceforge.net/projects/openpfgw/">Primality Tester</a>
%t A289730 MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];
%t A289730 Select[Table[MultiFactorial[i, 6] - 12, {i, 8, 100}], PrimeQ[#]&]
%t A289730 Select[Table[Times@@Range[n,1,-6]-12,{n,8,200}],PrimeQ] (* _Harvey P. Dale_, Jan 16 2024 *)
%Y A289730 Cf. A289688.
%K A289730 nonn
%O A289730 1,1
%A A289730 _Robert Price_, Jul 10 2017