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Primes of the form k!3 + 3^10, where k!3 is the triple factorial number (A007661).
1

%I #7 May 03 2020 16:03:39

%S 59051,59053,59077,59929,608667049,3091650738235049,

%T 262134882788466747049,

%U 17994728558292550488813850298696914425610240059049,113024723205613715155108333435313153533542400059049

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

%H Robert Price, <a href="/A288886/b288886.txt">Table of n, a(n) for n = 1..13</a>

%H Henri& 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 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 OpenPFGW Project, <a href="http://sourceforge.net/projects/openpfgw/">Primality Tester</a>

%t MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];

%t Select[Table[MultiFactorial[i, 3] + 3^10, {i, 0, 100}], PrimeQ[#]&]

%t Select[Table[Times@@Range[n,1,-3]+59049,{n,150}],PrimeQ] (* _Harvey P. Dale_, May 03 2020 *)

%Y Cf. A261145.

%K nonn

%O 1,1

%A _Robert Price_, Jun 18 2017