|
|
A049036
|
|
Mean gap between successive primes up to n-th prime is an integer.
|
|
4
|
|
|
2, 10, 68, 438, 442, 2616, 100350, 100354, 100360, 637198, 637306, 27066970, 27067050, 27067102, 27067114, 27067116, 179992840, 179993002, 55762149072, 382465573492, 2636913002950
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
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
|
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
|
|
EXTENSIONS
|
More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), May 25 2000
|
|
STATUS
|
approved
|
|
|
|