A096510 a(n) is the smallest number x such that the number of prime powers (including primes, excluding 1), in the neighborhood of x with radius ceiling(log(x)), equals n.

1, 54, 2, 12, 3, 8, 4792, 75991, 284736, 6561003, 51448375, 964669618, 18320500423

Offset

0,2

Comments

With increasing n the radius of log(n) slowly increases, while frequency of prime-powers decreases.

No more terms < 369*10^8. - David Wasserman, Nov 16 2007

Links

Table of n, a(n) for n=0..12.

Example

a[8]=284736: because in [284723,284749] around a(8),
8 prime(powers) occur first,with radius=r=13;
a[0]=1;a[1]=54 means that in [50,58] only 53 is prime,r=4.

Crossrefs

Cf. A096508-A096512.

Cf. A096509-A096523.

Sequence in context: A238935 A033688 A058283 * A236178 A247389 A156476

Adjacent sequences: A096507 A096508 A096509 * A096511 A096512 A096513

Keyword

more,nonn

Author

Labos Elemer, Jul 12 2004

Extensions

4 more terms from David Wasserman, Nov 16 2007

Status

approved