

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.


3




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..10.


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

Sequence in context: A000215 A123599 A100270 * A128336 A094487 A007516
Adjacent sequences: A016042 A016043 A016044 * A016046 A016047 A016048


KEYWORD

nonn


AUTHOR

Robert G. Wilson v


EXTENSIONS

Corrected and extended by Jud McCranie, Jun 24 2000


STATUS

approved



