|
| |
|
|
A116481
|
|
a(n) = n-th prime larger than n^n.
|
|
1
| |
|
|
2, 7, 37, 271, 3181, 46703, 823621, 16777421, 387420713, 10000000207, 285311671039, 8916100448623, 302875106592719, 11112006825558313, 437893890380859959, 18446744073709552357, 827240261886336765209
(list; graph; refs; listen; history; internal format)
|
|
|
|
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}]
|
|
|
PROG
| (PARI) { a(n) = local(p); p=n^n; for(i=1, n, p=nextprime(p+1)); p } - Max Alekseyev (maxale(AT)gmail.com), Feb 01 2007
|
|
|
CROSSREFS
| Cf. A098682.
Sequence in context: A036247 A107877 A001028 * A102743 A195068 A196916
Adjacent sequences: A116478 A116479 A116480 * 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 (maxale(AT)gmail.com), Feb 01 2007
|
| |
|
|