

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
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OFFSET

1,1


REFERENCES

Steven Kahan, 2468...Prime Gaps That Appreciate, J. Rec. Math., Vol. 25 #1, pp. 4446, 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 A278735 A094487
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



