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

1,1

Links

Table of n, a(n) for n=1..17.

Example

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

Mathematica

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

Prog

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

Crossrefs

Cf. A098682.

Sequence in context: A083659 A107877 A001028 * A367494 A102743 A195068

Adjacent sequences: A116478 A116479 A116480 * A116482 A116483 A116484

Keyword

nonn

Author

Zak Seidov, Feb 17 2006

Extensions

More terms from Jon E. Schoenfield, Sep 07 2006

Further terms from Max Alekseyev, Feb 01 2007

Status

approved