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Primes of the form k!7-1, where k!7 is the septuple factorial number (A114799).
1

%I #6 Jul 12 2017 10:18:12

%S 2,3,5,7,17,29,43,59,97,509,1559,12239,198719,379439,633599,

%T 1136678399,33739804799,99298742399,1990648483199,

%U 59126328543388935628799,3797826416991538753535999,2409161546475779555007420356689919999,9325555101161759039183007326207999999

%N Primes of the form k!7-1, where k!7 is the septuple factorial number (A114799).

%H Robert Price, <a href="/A289757/b289757.txt">Table of n, a(n) for n = 1..34</a>

%H Henri & Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n7-1&amp;action=Search">PRP Records.Search for n!7-1.</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, 7] - 1, {i, 2, 100}], PrimeQ[#]&]

%Y Cf. A156167.

%K nonn

%O 1,1

%A _Robert Price_, Jul 11 2017

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