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A051856
Numbers k such that (k!)^2 + k! + 1 is prime.
6
0, 1, 2, 3, 4, 6, 76, 2837, 6001, 7076
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OFFSET
1,3
REFERENCES
H. Dubner, Factorial and primorial primes, J. Rec. Math., 19 (No. 3) (1987)
LINKS
Table of n, a(n) for n=1..10.
C. K. Caldwell,
The Prime Pages
C. Nash,
Prime Form
[broken link]
M. Oakes,
Re: Gaussian primorial and factorial primes
, Primeform, Dec 21 2010 [broken link]
Mike Oakes, Andrew Walker, David Broadhurst,
Gaussian primorial and factorial primes
, digest of 7 messages in primeform Yahoo group, Dec 20 - Dec 21, 2010.
EXAMPLE
6 is in the sequence because (6!)^2+6!+1=519121 is prime.
MATHEMATICA
Do[If[PrimeQ[n!^2+n!+1], Print[n]], {n, 600}] (*
Farideh Firoozbakht
, Jul 12 2003 *)
CROSSREFS
Cf.
A002981
,
A002982
,
A046029
.
Sequence in context:
A067244
A386887
A084811
*
A135236
A029962
A259388
Adjacent sequences:
A051853
A051854
A051855
*
A051857
A051858
A051859
KEYWORD
nonn
,
hard
,
more
AUTHOR
Andrew Walker (ajw01(AT)uow.edu.au), Dec 13 1999
EXTENSIONS
Edited by
R. J. Mathar
, Aug 08 2008
a(8)-a(10) from
Serge Batalov
, Nov 24 2011
STATUS
approved