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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. 0
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 (list; graph; refs; listen; history; text; internal format)
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: A039549 A101287 A252075 * A252068 A046116 A273286

Adjacent sequences:  A065508 A065509 A065510 * A065512 A065513 A065514

KEYWORD

nonn

AUTHOR

Lubomir Alexandrov, Nov 26 2001

STATUS

approved

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Last modified October 19 02:41 EDT 2019. Contains 328211 sequences. (Running on oeis4.)