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

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

Offset

1,3

Comments

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

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

Links

Table of n, a(n) for n=1..13.

Example

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

Mathematica

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

Prog

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

Crossrefs

Cf. A000142, A046029.

Sequence in context: A063508 A356849 A101724 * A019277 A127791 A290431

Adjacent sequences: A123207 A123208 A123209 * A123211 A123212 A123213

Keyword

easy,nonn

Author

Jonathan Vos Post, Oct 05 2006

Extensions

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

a(13) from Robert Price, Aug 06 2014

Status

approved