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Primes of the form k!5+1, where k!5 is the quintuple factorial number (A085157).
1

%I #5 Jun 13 2017 23:02:22

%S 2,3,5,7,37,67,313,751,2857,129169,576577,17873857,54286849,393750001,

%T 643458817,19053977918977,206180145819649,

%U 11716249122484566383298871297,177636555893291390456871518209,49055724379818682505120501943238657

%N Primes of the form k!5+1, where k!5 is the quintuple factorial number (A085157).

%H Robert Price, <a href="/A288718/b288718.txt">Table of n, a(n) for n = 1..28</a>

%H Henri& Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n5+1&amp;action=Search">PRP Records.Search for n!5+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, 5] + 1, {i, 0, 100}], PrimeQ[#]&]

%Y Cf. A085148.

%K nonn

%O 1,1

%A _Robert Price_, Jun 13 2017