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A289564 Primes of the form k!4+512, where k!4 is the quadruple factorial number (A007662).

%I A289564 #36 Aug 02 2022 13:25:06
%S A289564 557,743,1097,10457,66347,209357,151413137,1267390097,4996617137,
%T A289564 44358635987,2442358029135994033940387,
%U A289564 654019644904558303836431802744185605453637,7767791322531438974665300521192692435966766137
%N A289564 Primes of the form k!4+512, where k!4 is the quadruple factorial number (A007662).
%C A289564 The next term has 190 digits. - _Harvey P. Dale_, Aug 02 2022
%H A289564 Robert Price, <a href="/A289564/b289564.txt">Table of n, a(n) for n = 1..16</a>
%H A289564 Henri& Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n4+512&amp;action=Search">PRP Records.Search for n!4+512.</a>
%H A289564 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 A289564 OpenPFGW Project, <a href="http://sourceforge.net/projects/openpfgw/">Primality Tester</a>
%t A289564 MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];
%t A289564 Select[Table[MultiFactorial[i, 4] + 512, {i, 0, 100}], PrimeQ[#]&]
%t A289564 Select[Table[Times@@Range[n,1,-4]+512,{n,200}],PrimeQ] (* _Harvey P. Dale_, Aug 02 2022 *)
%Y A289564 Cf. A291350.
%K A289564 nonn
%O A289564 1,1
%A A289564 _Robert Price_, Sep 02 2017