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 A049036 Mean gap between successive primes up to n-th prime is an integer. 4

%I

%S 2,10,68,438,442,2616,100350,100354,100360,637198,637306,27066970,

%T 27067050,27067102,27067114,27067116,179992840,179993002,55762149072,

%U 382465573492,2636913002950

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

%H C. K. Caldwell, <a href="http://primes.utm.edu/glossary/page.php?sort=PrimeGaps">Prime Gaps</a>

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

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

%e 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.

%Y Cf. A049038, A049066, A228543.

%K nonn,more

%O 1,1

%A _G. L. Honaker, Jr._

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

%E Three more terms from _Phil Carmody_, Jul 23 2003

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