A065511 Let p(k) denote k-th prime; consider solutions (n,m) of the Diophantine system {p(p(n)+1)-p(p(n))=2, p(p(n))-6.p(p(m))=-1} (*); sequence gives values of m.

1, 92, 105, 106, 689, 1138, 1280, 1373, 1432, 1600, 1960, 2416, 2683, 2846, 2968, 3042, 3091, 4694, 4884, 5191, 5284, 5642, 6905, 6949, 7074, 7095, 7213, 7274, 7418

Offset: 0

Author

Lubomir Alexandrov, Nov 26 2001

Keywords

• nonn

Comments

( p(p(n)), p(p(n)+1) ) is twin prime pair with average 6.p(p(m)) (A060213).

Examples

			n = 402 and m = 105 satisfy system (*) at the primes p(p(n)) = 24917 and p(p(m)) = 4153; n = 33521 and m = 7418 satisfy system (*) at the primes p(p(n)) = 5730617 and p(p(m)) = 955103.
		

Crossrefs

A060213