A065511 - OEIS

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

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OFFSET

0,2

COMMENTS

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

LINKS

Table of n, a(n) for n=0..28.

EXAMPLE

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

Sequence in context: A101287 A365875 A252075 * A252068 A046116 A273286

Adjacent sequences: A065508 A065509 A065510 * A065512 A065513 A065514

KEYWORD

nonn

AUTHOR

Lubomir Alexandrov, Nov 26 2001

STATUS

approved