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Primes of the form k!6+48, where k!6 is the sextuple factorial number (A085158).
1

%I #9 Oct 02 2020 16:24:25

%S 53,103,139,983,1777,21827623,2131900273,104463111073,

%T 23481740411754673,606997343490162673,1714167050058087673,

%U 11510631741140058401923,10465247677041459437875114423

%N Primes of the form k!6+48, where k!6 is the sextuple factorial number (A085158).

%H Robert Price, <a href="/A288619/b288619.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=n6+48&amp;action=Search">PRP Records.Search for n!6+48.</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, 6] + 48, {i, 0, 100}], PrimeQ[#]&]

%t Select[(Table[Times@@Range[n,1,-6],{n,200}]+48),PrimeQ] (* _Harvey P. Dale_, Oct 02 2020 *)

%Y Cf. A288450.

%K nonn

%O 1,1

%A _Robert Price_, Jun 11 2017