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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 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 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 March 21 05:29 EDT 2023. Contains 361392 sequences. (Running on oeis4.)