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A288882 Primes of the form k!3 + 3^6, where k!3 is the triple factorial number (A007661).

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%I A288882 #11 Apr 20 2025 11:19:29
%S A288882 733,739,757,809,1009,1609,13049,210169,81359229952729,
%T A288882 126757680265216729,13106744139423334400729,
%U A288882 2295148179742698933452800729,12931890526958090978845347074978621685760000729
%N A288882 Primes of the form k!3 + 3^6, where k!3 is the triple factorial number (A007661).
%H A288882 Robert Price, <a href="/A288882/b288882.txt">Table of n, a(n) for n = 1..18</a>
%H A288882 Henri and Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n3+3^6&amp;action=Search">PRP Records.Search for n!3+3^6</a>.
%H A288882 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 A288882 OpenPFGW Project, <a href="http://sourceforge.net/projects/openpfgw/">Primality Tester</a>.
%F A288882 a(n) = 729 + A007661(A247467(n)). - _Elmo R. Oliveira_, Apr 20 2025
%t A288882 MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];
%t A288882 Select[Table[MultiFactorial[i, 3] + 3^6, {i, 0, 100}], PrimeQ[#]&]
%Y A288882 Cf. A007661, A247467, A247867.
%K A288882 nonn
%O A288882 1,1
%A A288882 _Robert Price_, Jun 18 2017