A177007 Primes of the form n^(n-1)+n+1.

3, 5, 13, 631, 5242880000000000000000021

Offset: 1

Author

Farzad Kamanger (mymtain(AT)yahoo.com), May 11 2010

Keywords

• hard
• more
• nonn

Comments

Next such prime if it exists has more than 22222 digits.

Examples

			For the prime p=5242880000000000000000021 we have p=20^19+21, so p
is in the sequence. p is the only known prime of the form (q+1)^q+q+2
where q is an odd prime.
		

Crossrefs

Cf. A177008, A177009, A177010, A177011

Programs

Mathematica

Do[If[PrimeQ[n^(n-1)+n+1], Print[n^(n-1)+n+1]], {n,5894}]