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.

A123210 Numbers k such that (k!)^3 + (k!)^2 + 1 is prime.

This page as a plain text file.
%I A123210 #19 Oct 15 2024 19:32:28
%S A123210 0,1,2,4,5,7,14,41,44,51,54,161,1379
%N A123210 Numbers k such that (k!)^3 + (k!)^2 + 1 is prime.
%C A123210 Analogous to A046029 Numbers k such that (k!)^2 + 1 is prime.
%C A123210 a(14) > 10^4. - _Robert Price_, Aug 06 2014
%e A123210 a(7) = 14 because (14!)^3+(14!)^2+1 = 662559760556747835222526525440001 is prime.
%t A123210 Select[Range[200], PrimeQ[#!^3 + #!^2 + 1] &]
%o A123210 (Magma) [n: n in [0..160]|IsPrime((Factorial(n)^3)+(Factorial(n)^2)+1)]; // _Vincenzo Librandi_, Dec 22 2010
%Y A123210 Cf. A000142, A046029.
%K A123210 easy,nonn
%O A123210 1,3
%A A123210 _Jonathan Vos Post_, Oct 05 2006
%E A123210 a(8)-a(11) from _Vincenzo Librandi_, Dec 22 2010
%E A123210 a(13) from _Robert Price_, Aug 06 2014