%I #7 Dec 26 2022 15:59:23

%S 2,3,5,7,26881,55441,96909121,132843110401,48704929136641,

%T 152349556104345601,1397121162877440001,383414179456168545484801,

%U 81419177249980419349301811609600001,13189906714496827934586893480755200001

%N Primes of the form k!8+1, where k!8 is the octuple factorial number (A114800).

%H Robert Price, <a href="/A288715/b288715.txt">Table of n, a(n) for n = 1..21</a>

%H Henri& Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n8+1&amp;action=Search">PRP Records.Search for n!8+1.</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, 8] + 1, {i, 0, 100}], PrimeQ[#]&]

%t Select[Table[Times@@Range[n,1,-8]+1,{n,200}],PrimeQ] (* _Harvey P. Dale_, Dec 26 2022 *)

%Y Cf. A204661.

%K nonn

%O 1,1

%A _Robert Price_, Jun 13 2017