login
Primes of the form k!6-18, where k!6 is the sextuple factorial number (A085158).
1

%I #12 Jul 07 2019 10:47:04

%S 37,73,21487,43207,21827557,11510631741140058401857,

%T 345259481979861010937357,1047467488443745314570607,

%U 10465247677041459437875114357,2015871944300559703524199973398834357,5685668465320307573857236025777988251766371484357

%N Primes of the form k!6-18, where k!6 is the sextuple factorial number (A085158).

%H Robert Price, <a href="/A289732/b289732.txt">Table of n, a(n) for n = 1..14</a>

%H Henri & Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n6-18&amp;action=Search">PRP Records.Search for n!6-18.</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, 6] - 18, {i, 9, 100}], PrimeQ[#]&]

%t Select[Table[Times@@Range[n,1,-6]-18,{n,10,300}],PrimeQ] (* _Harvey P. Dale_, Jul 07 2019 *)

%Y Cf. A289696.

%K nonn

%O 1,1

%A _Robert Price_, Jul 10 2017