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A123210 Numbers n such that (n!)^3+(n!)^2+1 is prime. 0
0, 1, 2, 4, 5, 7, 14, 41, 44, 51, 54, 161, 1379 (list; graph; refs; listen; history; text; internal format)
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: A115883 A063508 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

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Last modified April 7 04:20 EDT 2020. Contains 333292 sequences. (Running on oeis4.)