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Search: id:A103709
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| A103709 |
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Smallest prime p(n) such that both p +/- 2n are primes closest to p, or zero if no such prime exists. |
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+0 2
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| 5, 0, 53, 0, 0, 211, 0, 0, 20201, 0, 0, 16787, 0, 0, 69623, 0, 0, 255803, 0, 0, 247141, 0, 0, 3565979, 0, 0, 6314447, 0, 0, 4911311, 0, 0, 12012743, 0, 0, 23346809, 0, 0, 43607429, 0, 0, 34346287, 0, 0, 36598607, 0, 0, 51042053, 0, 0, 460475569, 0, 0
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Such triples of primes occur only for n divisible by 3 (except the first term with n=1).
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FORMULA
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p-2n, p and p+2n are three successive primes, and p(n) is the least such prime.
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EXAMPLE
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p(36)=23346809 because 23346809-72, 23346809 and 23346809+72 are three successive primes.
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CROSSREFS
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Cf. A054342, A102723, A023186.
Adjacent sequences: A103706 A103707 A103708 this_sequence A103710 A103711 A103712
Sequence in context: A114205 A070611 A047769 this_sequence A122045 A073911 A036946
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Feb 12 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 22 2005
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