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

0, 1, 2, 4, 5, 7, 14, 41, 44, 51, 54, 161, 1379

Offset: 1

Author

Jonathan Vos Post, Oct 05 2006

Keywords

• easy
• nonn

Comments

Analogous to A046029 Numbers k such that (k!)^2 + 1 is prime.

a(14) > 10^4. - Robert Price, Aug 06 2014

Examples

			a(7) = 14 because (14!)^3+(14!)^2+1 = 662559760556747835222526525440001 is prime.
		

Crossrefs

Cf. A000142, A046029.

Programs

Magma

[n: n in [0..160]|IsPrime((Factorial(n)^3)+(Factorial(n)^2)+1)]; // Vincenzo Librandi, Dec 22 2010

Mathematica

Select[Range[200], PrimeQ[#!^3 + #!^2 + 1] &]

Extensions

a(8)-a(11) from Vincenzo Librandi, Dec 22 2010

a(13) from Robert Price, Aug 06 2014