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A016045 a(n) is the 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. 5
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 + k + k^2} = 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 * A349121 A128336 A278735
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 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)