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

3, 5, 13, 631, 5242880000000000000000021

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..5.

Example

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.

Mathematica

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

Crossrefs

Cf. A177008, A177009, A177010, A177011

Sequence in context: A062698 A200769 A128341 * A227170 A028942 A278314

Adjacent sequences: A177004 A177005 A177006 * A177008 A177009 A177010

Keyword

hard,more,nonn

Author

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

Status

approved