cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A288450 Numbers k such that k!6 + 48 is prime, where k!6 is the sextuple factorial number (A085158 ).

This page as a plain text file.
%I A288450 #4 Jun 09 2017 19:44:11
%S A288450 5,11,13,17,19,35,43,49,67,71,73,85,103,263,293,497,529,599,905,971,
%T A288450 1685,2927,3635,3847,4535,8501,38777
%N A288450 Numbers k such that k!6 + 48 is prime, where k!6 is the sextuple factorial number (A085158 ).
%C A288450 Corresponding primes are: 53, 103, 139, 983, 1777, 21827623, 2131900273, 104463111073, ...
%C A288450 a(28) > 50000.
%C A288450 Terms > 49 correspond to probable primes.
%H A288450 Henri & Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n!6+48&amp;action=Search">PRP Records. Search for n!6+48.</a>
%H A288450 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 A288450 OpenPFGW Project, <a href="http://sourceforge.net/projects/openpfgw/">Primality Tester</a>
%e A288450 11!6 + 48 = 11*5 + 48 = 103 is prime, so 11 is in the sequence.
%t A288450 MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
%t A288450 Select[Range[0, 50000], PrimeQ[MultiFactorial[#, 6] + 48] &]
%Y A288450 Cf. A007661, A037082, A084438, A123910, A242994.
%K A288450 nonn,more
%O A288450 1,1
%A A288450 _Robert Price_, Jun 09 2017