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%I #12 Sep 08 2022 08:45:28
%S 0,1,2,4,5,7,14,41,44,51,54,161,1379
%N Numbers n such that (n!)^3+(n!)^2+1 is prime.
%C Analogous to A046029 Numbers n such that (n!)^2+1 is prime.
%C a(14) > 10^4. - _Robert Price_, Aug 06 2014
%e a(7) = 14 because (14!)^3+(14!)^2+1 = 662559760556747835222526525440001 is prime.
%t Select[Range[200], PrimeQ[#!^3 + #!^2 + 1] &]
%o (Magma)[n: n in [0..160]|IsPrime((Factorial(n)^3)+(Factorial(n)^2)+1)][_Vincenzo Librandi_, Dec 22 2010]
%Y Cf. A000142, A046029.
%K easy,nonn
%O 1,3
%A _Jonathan Vos Post_, Oct 05 2006
%E a(8)-a(11) from _Vincenzo Librandi_, Dec 22 2010
%E a(13) from _Robert Price_, Aug 06 2014
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