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A103709 Smallest prime p(n) such that both p +/- 2n are primes closest to p, or zero if no such prime exists. +0
2
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)
OFFSET

1,1

COMMENT

Such triples of primes occur only for n divisible by 3 (except for the first term with n=1).

FORMULA

p-2n, p and p+2n are three successive primes and p(n) is the least such prime.

EXAMPLE

p(36)=23346809 because 23346809-72, 23346809 and 23346809+72 are three successive primes.

CROSSREFS

Cf. A054342, A102723, A023186.

Sequence in context: A167362 A070611 A047769 this_sequence A122045 A073911 A157302

Adjacent sequences: A103706 A103707 A103708 this_sequence A103710 A103711 A103712

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Feb 12 2005

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 22 2005

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


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