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Search: id:A016045
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| A016045 |
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a(n) = smallest prime p(k) such that the gaps between the primes p(k), p(k+1), p(k+2), ..., p(k+n) are 2, 4, 6, ... 2n. |
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3
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| 3, 5, 17, 347, 13901, 128981, 128981, 113575727, 2426256797, 137168442221
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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Steven Kahan, 2-4-6-8...Prime Gaps That Appreciate, J. Rec. Math., Vol. 25 #1, pp. 44-46, 1993
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FORMULA
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a(n)=Min{x : x=prime; {x+2k}=primes following x for k=1, .., n}
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EXAMPLE
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Consider consecutive primes 347, 349, 353, 359, 367. The gaps are 2, 4, 6, 8, so a(4)=347.
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CROSSREFS
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Adjacent sequences: A016042 A016043 A016044 this_sequence A016046 A016047 A016048
Sequence in context: A000215 A123599 A100270 this_sequence A128336 A094487 A007516
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com)
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EXTENSIONS
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Corrected and extended by Jud McCranie (j.mccranie(AT)comcast.net), Jun 24 2000
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