A096837 Number of primes in the neighborhood of n^n with radius ceiling(log(n^n)).

0, 3, 3, 2, 2, 2, 3, 2, 2, 1, 0, 1, 3, 3, 1, 2, 1, 0, 6, 1, 2, 2, 3, 1, 1, 3, 3, 1, 0, 3, 2, 4, 2, 2, 4, 3, 2, 1, 5, 1, 1, 2, 3, 1, 3, 0, 2, 1, 3, 2, 1, 0, 4, 1, 2, 2, 2, 2, 1, 0, 1, 3, 2, 1, 0, 0, 2, 1, 3, 1, 1, 2, 1, 0, 2, 3, 5, 3, 3, 0, 3, 2, 2, 4, 4, 0, 6, 2, 1, 2, 1, 3, 3, 2, 1, 3, 2, 2, 1, 4, 1, 6, 0, 2, 1

Offset

1,2

Links

Table of n, a(n) for n=1..105.

Formula

a(n) almost equals A096509(n^n) >= a(n) because here only primes are counted, the true prime powers not.

Example

a(3)=3 and the 3 primes in [23,31] are {23,29,31}.

Crossrefs

Cf. A096509-A096523, A096830-A096840.

Sequence in context: A124933 A133884 A065775 * A139092 A366424 A374409

Adjacent sequences: A096834 A096835 A096836 * A096838 A096839 A096840

Keyword

nonn

Author

Labos Elemer, Jul 14 2004

Status

approved