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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

Table of n, a(n) for n=1..14.

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 A094487 A007516

Adjacent sequences:  A016042 A016043 A016044 * A016046 A016047 A016048

KEYWORD

nonn,more

AUTHOR

Robert G. Wilson v

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 December 10 03:42 EST 2016. Contains 278993 sequences.