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A119448
Primes of the form k^k + k^2 + 1.
2
2, 3, 37, 285311670733, 1102507499354148695951786433413508348166942596435548101, 3877924263464448622666648186154330754898344901344205917642325627886496385065073
OFFSET
1,1
COMMENTS
The values of k such that k^k + k^2 + 1 is prime are 1, 3, 11, 35, 47, ...
0^0 + 0^2 + 1 = 2. - Vincenzo Librandi, Dec 22 2010
The next term has 176 digits. - Harvey P. Dale, Feb 07 2018
EXAMPLE
a(3) = 11^11 + 11^2 + 1 = 285311670733 is prime.
MATHEMATICA
Join[{2}, Select[Table[n^n+n^2+1, {n, 50}], PrimeQ]] (* Harvey P. Dale, Feb 07 2018 *)
PROG
(Magma) [a: n in [0..250]|IsPrime(a) where a is n^n+n^2+1] // Vincenzo Librandi, Dec 22 2010
CROSSREFS
KEYWORD
nonn
AUTHOR
Jonathan Vos Post, Jul 26 2006
EXTENSIONS
2 added by Vincenzo Librandi, Dec 22 2010
STATUS
approved