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 A016045 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. 4
 3, 5, 17, 347, 13901, 128981, 128981, 113575727, 2426256797, 137168442221, 4656625081181, 101951758179851, 484511389338941, 221860944705726407 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES Steven Kahan, 2-4-6-8...Prime Gaps That Appreciate, J. Rec. Math., Vol. 25 #1, pp. 44-46, 1993 LINKS FORMULA a(n)=Min{x : x=prime; {x+2k}=primes following x for k=1, .., n} EXAMPLE Consider consecutive primes 347, 349, 353, 359, 367. The gaps are 2, 4, 6, 8, so a(4)=347. CROSSREFS Cf. A263049. Sequence in context: A263539 A123599 A100270 * A128336 A278735 A094487 Adjacent sequences:  A016042 A016043 A016044 * A016046 A016047 A016048 KEYWORD nonn,more AUTHOR EXTENSIONS Corrected and extended by Jud McCranie, Jun 24 2000 a(11)-a(13) from Dmitry Petukhov, Oct 03 2015 a(14) from Dmitry Petukhov, Jul 06 2016 STATUS approved

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Last modified March 28 20:44 EDT 2020. Contains 333103 sequences. (Running on oeis4.)