

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



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

0,2


COMMENTS

With increasing n the radius of log(n) slowly increases, while frequency of primepowers 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. A096508A096512.
Cf. A096509A096523.
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



