A269836 Primes p of the form k^(2*k) + 1.

2, 17, 65537

Offset

1,1

Comments

Prime terms from A167436.

Also primes p of the form (k^2)^k + 1.

Corresponding values of k: 1, 2, 4, ...; if a(4) exists, k must be larger than 1024.

Links

Table of n, a(n) for n=1..3.

Example

65537 = 4^8 + 1 = 16^4 + 1.

Mathematica

Select[Table[n^(2n)+1, {n, 20}], PrimeQ] (* Harvey P. Dale, Apr 01 2021 *)

Prog

(Magma) [n^(2*n) + 1: n in [1..700] | IsPrime(n^(2*n) + 1)];

Crossrefs

Cf. A121270 (primes of the form k^k + 1), A167436 (n^(2*n) + 1).

Sequence in context: A003819 A078624 A163319 * A114950 A112969 A208208

Adjacent sequences: A269833 A269834 A269835 * A269837 A269838 A269839

Keyword

nonn,bref,hard

Author

Jaroslav Krizek, Mar 06 2016

Status

approved