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Search: id:A065511
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| A065511 |
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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. |
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+0
1
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| 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; listen)
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OFFSET
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0,2
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COMMENT
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( p(p(n)), p(p(n)+1) ) is twin prime pair with average 6.p(p(m)) (A060213).
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EXAMPLE
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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.
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CROSSREFS
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A060213
Sequence in context: A057702 A039549 A101287 this_sequence A046116 A116215 A044424
Adjacent sequences: A065508 A065509 A065510 this_sequence A065512 A065513 A065514
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KEYWORD
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nonn
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AUTHOR
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Lubomir Alexandrov (alexandr(AT)thsun1.jinr.ru), Nov 26 2001
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