login
Primes of the form k!6+3, where k!6 is the sextuple factorial number (A085158).
1

%I #7 Jun 11 2017 20:56:03

%S 5,7,19,43,227,643,4483,14083,116483,13404163,333247405883392003,

%T 75494329921353417731638961852391076220895232000003,

%U 607641057683281452422878601758017247375890833361248739064460794062744301780319012095222746705407815771488256000000000000003

%N Primes of the form k!6+3, where k!6 is the sextuple factorial number (A085158).

%H Robert Price, <a href="/A288608/b288608.txt">Table of n, a(n) for n = 1..14</a>

%H Henri& Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n6+3&amp;action=Search">PRP Records.Search for n!6+3.</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] + 3, {i, 0, 100}], PrimeQ[#]&]

%Y Cf. A287844.

%K nonn

%O 1,1

%A _Robert Price_, Jun 11 2017