A111183 a(n) = prime(x) - pi(x) where x is the least x such that (prime(x+1) - pi(x+1)) - (prime(x) - pi(x)) = n.

2, 3, 5, 15, 47, 19, 339, 80, 168, 128, 185, 196, 103, 275, 1771, 1871, 1028, 498, 3004, 851, 3641, 1087, 11845, 1613, 5402, 2404, 3182, 2889, 5225, 4190, 5461, 10585, 16958, 1280, 22444, 9357, 56241, 30129, 24857, 19006, 34461, 15852, 224417, 15401

Offset

1,1

Comments

Conjecture: a(n) exists for every n.

Links

Table of n, a(n) for n=1..44.

Prog

(PARI) a(n) = { for(x=1, oo, my(y=prime(x)-primepi(x), z=prime(x+1)-primepi(x+1)); if(z-y == n, return(y)) ); }

Crossrefs

Cf. A000040, A000720, A111181.

Sequence in context: A120755 A227633 A270011 * A330821 A248827 A273525

Adjacent sequences: A111180 A111181 A111182 * A111184 A111185 A111186

Keyword

easy,nonn

Author

Cino Hilliard, Oct 22 2005

Status

approved