A289822 - OEIS

%I #9 Jul 15 2023 16:07:35

%S 1453,10133,56053,1104373,24342133,96340213,2504900213,

%T 3091650738173813,1668492340691778657530675197813,

%U 116346745870073113470947277571643877742200278220799997813,10027451552263982384838074729160019340604318179653944179011587407871999999997813

%N Primes of the form k!3-2187, where k!3 is the triple factorial number (A007661).

%H Harvey P. Dale, <a href="/A289822/b289822.txt">Table of n, a(n) for n = 1..19</a>

%H Henri & Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n3-2187&amp;action=Search">PRP Records.Search for n!3-2187.</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] - 2187, {i, 13, 100}], PrimeQ[#]&]

%t Select[Table[Times@@Range[n,1,-3]-2187,{n,13,200}],PrimeQ] (* _Harvey P. Dale_, Jul 15 2023 *)

%Y Cf. A267382.

%K nonn

%O 1,1

%A _Robert Price_, Jul 12 2017