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

2, 17, 65537

Offset: 1

Author

Jaroslav Krizek, Mar 06 2016

Keywords

• nonn
• bref
• hard

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.

Examples

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

Crossrefs

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

Programs

Magma

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

Mathematica

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