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A288886 Primes of the form k!3 + 3^10, where k!3 is the triple factorial number (A007661).

%I A288886 #11 Apr 14 2025 09:03:23
%S A288886 59051,59053,59077,59929,608667049,3091650738235049,
%T A288886 262134882788466747049,
%U A288886 17994728558292550488813850298696914425610240059049,113024723205613715155108333435313153533542400059049
%N A288886 Primes of the form k!3 + 3^10, where k!3 is the triple factorial number (A007661).
%H A288886 Robert Price, <a href="/A288886/b288886.txt">Table of n, a(n) for n = 1..13</a>
%H A288886 Henri and Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n3+3^10&amp;action=Search">PRP Records.Search for n!3+3^10</a>.
%H A288886 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 A288886 OpenPFGW Project, <a href="http://sourceforge.net/projects/openpfgw/">Primality Tester</a>.
%F A288886 a(n) = 59049 + A007661(A261145(n)). - _Elmo R. Oliveira_, Apr 14 2025
%t A288886 MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];
%t A288886 Select[Table[MultiFactorial[i, 3] + 3^10, {i, 0, 100}], PrimeQ[#]&]
%t A288886 Select[Table[Times@@Range[n,1,-3]+59049,{n,150}],PrimeQ] (* _Harvey P. Dale_, May 03 2020 *)
%Y A288886 Cf. A007661, A261145.
%K A288886 nonn
%O A288886 1,1
%A A288886 _Robert Price_, Jun 18 2017