A119448 Primes of the form k^k + k^2 + 1.

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

Links

Table of n, a(n) for n=1..6.

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

Cf. A000040, A000312, A120479, A120480, A119264.

Sequence in context: A144466 A245061 A270587 * A041329 A060813 A039820

Adjacent sequences: A119445 A119446 A119447 * A119449 A119450 A119451

Keyword

nonn

Author

Jonathan Vos Post, Jul 26 2006

Extensions

2 added by Vincenzo Librandi, Dec 22 2010

Status

approved