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Search: id:A086523
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| A086523 |
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Beginning with 5, distinct odd primes such that the arithmetic mean of every pair of successive terms is prime. |
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+0
2
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| 5, 17, 29, 53, 41, 101, 113, 149, 197, 257, 269, 293, 401, 461, 521, 593, 641, 653, 701, 821, 857, 1049, 1277, 1289, 1433, 1553, 1613, 1721, 1901, 1913, 1949, 1997, 2081, 2141, 2273, 2393, 2441, 2477, 2609, 2633, 2693, 2729, 2753, 2801, 2837, 2957, 2969
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OFFSET
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1,1
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COMMENT
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Every term == -1 (mod 6).
Conjecture: every prime of the form 6k-1 is a member. Comment from Vim Wenders (vim(AT)gmx.li), May 27 2008: The conjecture is wrong. For example 11 and 23 are missing.
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CROSSREFS
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Cf. A086519, A086522, A086524.
Adjacent sequences: A086520 A086521 A086522 this_sequence A086524 A086525 A086526
Sequence in context: A075695 A034937 A024351 this_sequence A143103 A091851 A079292
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 30 2003
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EXTENSIONS
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More terms from Ray G. Opao (1260(AT)email.com), Jan 24 2005
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