%I #7 Aug 13 2021 15:03:21
%S 83,109,12401,58321,24344401,96342481,2504902481,26582634158080081,
%T 1143053268797440081,262134882788466688081,
%U 427380210218181008588800081,142299187144047333874073600081,7825229077844441903818866688000081
%N Primes of the form k!3 + 3^4, where k!3 is the triple factorial number (A007661).
%H Robert Price, <a href="/A288880/b288880.txt">Table of n, a(n) for n = 1..16</a>
%H Henri& Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n3+3^4&action=Search">PRP Records.Search for n!3+3^4.</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] + 3^4, {i, 0, 100}], PrimeQ[#]&]
%t Select[Table[Times@@Range[n,1,-3]+81,{n,100}],PrimeQ] (* _Harvey P. Dale_, Aug 13 2021 *)
%Y Cf. A247866.
%K nonn
%O 1,1
%A _Robert Price_, Jun 18 2017