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Primes of the form k!4+64, where k!4 is the quadruple factorial number (A007662).
1

%I #11 May 31 2020 17:46:17

%S 67,109,3529,10009,65899,151412689,1267389649,341094033905689,

%T 9807130727058790189,36453104912477522894689,

%U 1008407509171875041482378189,43350768819741354903275421016919057203189,29366774490668885282893783501883117566129541193767295703189

%N Primes of the form k!4+64, where k!4 is the quadruple factorial number (A007662).

%H Robert Price, <a href="/A289518/b289518.txt">Table of n, a(n) for n = 1..16</a>

%H Henri& Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n4+64&amp;action=Search">PRP Records.Search for n!4+64.</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, 4] + 64, {i, 0, 100}], PrimeQ[#]&]

%t Select[Table[Times@@Range[n,1,-4]+64,{n,200}],PrimeQ] (* _Harvey P. Dale_, May 31 2020 *)

%Y Cf. A291347.

%K nonn

%O 1,1

%A _Robert Price_, Sep 02 2017