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A288446 Numbers k such that k!6 + 24 is prime, where k!6 is the sextuple factorial number (A085158 ).

%I A288446 #4 Jun 09 2017 19:43:42
%S A288446 5,7,11,19,23,29,53,67,71,79,109,121,275,707,725,1345,1961,2221,2477,
%T A288446 2765,5557,5779,7423,11587,22495,25063,28795,43783
%N A288446 Numbers k such that k!6 + 24 is prime, where k!6 is the sextuple factorial number (A085158 ).
%C A288446 Corresponding primes are: 29, 31, 79, 1753, 21529, 623669, 2229272062349, ...
%C A288446 a(29) > 50000.
%C A288446 Terms > 29 correspond to probable primes.
%H A288446 Henri & Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n!6+24&amp;action=Search">PRP Records. Search for n!6+24.</a>
%H A288446 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 A288446 OpenPFGW Project, <a href="http://sourceforge.net/projects/openpfgw/">Primality Tester</a>
%e A288446 11!6 + 24 = 11*5 + 24 = 79 is prime, so 11 is in the sequence.
%t A288446 MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
%t A288446 Select[Range[0, 50000], PrimeQ[MultiFactorial[#, 6] + 24] &]
%Y A288446 Cf. A007661, A037082, A084438, A123910, A242994.
%K A288446 nonn,more
%O A288446 1,1
%A A288446 _Robert Price_, Jun 09 2017