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Primes of the form k!4+128, where k!4 is the quadruple factorial number (A007662).
1

%I #10 Aug 13 2023 13:31:14

%S 131,149,173,359,3593,65963,151412753,184874815253,

%T 675141445011750931735785863483259503,

%U 13075173582607657311300240428800205506303238072109503,12956907789303111531153065870401861366351857094178052776930473828253

%N Primes of the form k!4+128, where k!4 is the quadruple factorial number (A007662).

%H Robert Price, <a href="/A289519/b289519.txt">Table of n, a(n) for n = 1..12</a>

%H Henri& Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n4+128&amp;action=Search">PRP Records.Search for n!4+128.</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] + 128, {i, 0, 100}], PrimeQ[#]&]

%t Select[Table[Times@@Range[n,1,-4]+128,{n,200}],PrimeQ] (* _Harvey P. Dale_, Aug 13 2023 *)

%Y Cf. A291348.

%K nonn

%O 1,1

%A _Robert Price_, Sep 02 2017