A049036 Mean gap between successive primes up to n-th prime is an integer.

2, 10, 68, 438, 442, 2616, 100350, 100354, 100360, 637198, 637306, 27066970, 27067050, 27067102, 27067114, 27067116, 179992840, 179993002, 55762149072, 382465573492, 2636913002950

Offset

1,1

Links

Table of n, a(n) for n=1..21.

C. K. Caldwell, Prime Gaps

Formula

n such that (n - 1) divides (prime(n) - n - 1), or equivalently,

n such that (n - 1) divides (prime(n) - 2).

Example

a(2)=10 since 9 (number of gaps) divides 18 (number of composites less than 29, the 10th prime). Therefore the "average" gap less than 29 is exactly 2.

Crossrefs

Cf. A049038, A049066, A228543.

Sequence in context: A108397 A325995 A366178 * A208561 A152620 A152621

Adjacent sequences: A049033 A049034 A049035 * A049037 A049038 A049039

Keyword

nonn,more

Author

G. L. Honaker, Jr.

Extensions

More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), May 25 2000

Three more terms from Phil Carmody, Jul 23 2003

Status

approved