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A288370 Primes of the form k!10 + 2, where k!10 is the decuple factorial number (A288327).

%I A288370 #13 May 26 2025 17:00:23
%S A288370 3,5,7,11,13,41,173,233,1877,293603,318482201,3047775608243,
%T A288370 22045250515087152640289,1302844523174285888671877,
%U A288370 930620100318118916029523201,4831436058626442432403564453127,2060356301148292483532951454058361,9936127455089061347552058319626135203
%N A288370 Primes of the form k!10 + 2, where k!10 is the decuple factorial number (A288327).
%H A288370 Robert Price, <a href="/A288370/b288370.txt">Table of n, a(n) for n = 1..29</a>
%H A288370 Henri and Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=n10+2&amp;action=Search">PRP Records.Search for n!10+2</a>.
%H A288370 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 A288370 OpenPFGW Project, <a href="http://sourceforge.net/projects/openpfgw/">Primality Tester</a>.
%F A288370 a(n) = 2 + A288327(A204657(n+1)). - _Elmo R. Oliveira_, Feb 26 2025
%t A288370 MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];
%t A288370 Select[Table[MultiFactorial[i, 10] + 2, {i, 0, 100}], PrimeQ[#]&]
%t A288370 Select[Table[Times@@Range[n,1,-10]+2,{n,200}],PrimeQ] (* _Harvey P. Dale_, May 26 2025 *)
%Y A288370 Cf. A204657, A288327.
%K A288370 nonn
%O A288370 1,1
%A A288370 _Robert Price_, Jun 08 2017