A096832 Number of primes in enlarged neighborhood with center = n-th primorial and radius = 2*ceiling(log(n-th primorial)). So compared to A096831, the radius is doubled.

2, 4, 4, 2, 3, 4, 1, 2, 1, 1, 1, 1, 3, 3, 1, 4, 2, 1, 4, 1, 2, 4, 1, 7, 1, 4, 2, 3, 0, 2, 3, 3, 0, 1, 6, 2, 1, 2, 4, 2, 3, 2, 2, 0, 3, 0, 2, 5, 3, 3, 1, 5, 2, 6, 3, 4, 3, 2, 2, 4, 2, 4, 1, 4, 7, 5, 2, 7, 1, 3, 2, 2, 6, 6, 3, 1, 3, 5, 4, 1, 4, 5, 6, 2, 5, 2, 4, 2, 0, 6, 1, 3, 5, 2, 5, 4, 4, 4, 3, 4, 3, 1, 3, 2, 4

Offset

1,1

Comments

What is exceptional in such neighborhoods of primorials is that in most cases no primes occur, i.e., these zones are peculiarly poor or empty of primes! If the radius is doubled then the density of primes appears to be "normal".

Links

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

Example

n=7: 7th primorial = 510510; for radius=14, no primes in the relevant neighborhood; for radius=28, then one prime appears: 510529.

Crossrefs

Cf. A096509-A096523, A096830-A096840; A002110.

Sequence in context: A126123 A285349 A256066 * A016588 A234247 A160163

Adjacent sequences: A096829 A096830 A096831 * A096833 A096834 A096835

Keyword

nonn

Author

Labos Elemer, Jul 14 2004

Status

approved