A116481 a(n) = n-th prime larger than n^n.

2, 7, 37, 271, 3181, 46703, 823621, 16777421, 387420713, 10000000207, 285311671039, 8916100448623, 302875106592719, 11112006825558313, 437893890380859959, 18446744073709552357, 827240261886336765209

Offset: 1

Author

Zak Seidov, Feb 17 2006

Keywords

• nonn

Examples

			a(3)=37 because primes larger than 3^3=27 are 29,31,37,41,... and 37 is 3rd prime > 27.
		

Crossrefs

Cf. A098682.

Programs

Mathematica

Do[Print[Prime[PrimePi[n^n]+n]],{n,12}]

PARI

{ a(n) = my(p); p=n^n; for(i=1,n,p=nextprime(p+1)); p; } \\ Max Alekseyev, Feb 01 2007

Extensions

More terms from Jon E. Schoenfield, Sep 07 2006

Further terms from Max Alekseyev, Feb 01 2007