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Search: id:A116481
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A116481 a(n) = n-th prime larger than n^n. +0
2
2, 7, 37, 271, 3181, 46703, 823621, 16777421, 387420713, 10000000207, 285311671039, 8916100448623, 302875106592719, 11112006825558313, 437893890380859959, 18446744073709552357, 827240261886336765209 (list; graph; listen)
OFFSET

1,1

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}]

PROGRAM

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

CROSSREFS

Cf. A098682.

Sequence in context: A036247 A107877 A001028 this_sequence A102743 A036432 A094431

Adjacent sequences: A116478 A116479 A116480 this_sequence A116482 A116483 A116484

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Feb 17 2006

EXTENSIONS

More terms from Jon E. Schoenfield (jonscho(AT)hiwaay.net), Sep 07 2006

Further terms from Max Alekseyev (maxal(AT)cs.ucsd.edu), Feb 01 2007

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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