Voozh

A225943

The first member of a twin prime pair whose sum equals the sums of two consecutive smaller pairs of twin primes.

17, 29, 71, 101, 659, 1091, 1301, 2081, 2111, 2381, 2591, 2969, 4241, 4271, 4649, 4721, 4931, 5441, 5519, 6689, 6761, 7589, 8219, 8999, 10331, 10859, 11159, 11717, 11969, 13001, 16451, 17657, 18521, 20231, 22277, 23039, 23909, 24179, 24917, 27479, 28571

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

The sum of a given pair of twin primes can be represented as the sum of consecutive pairs of smaller twin primes.

LINKS

Zak Seidov, Table of n, a(n) for n = 1..1000

EXAMPLE

17 + 19 = (5 + 7) + (11 + 13).

MATHEMATICA

t = Select[2*Range[20000], PrimeQ[# - 1] && PrimeQ[# + 1] &]; Intersection[t, Rest[t] + Most[t]] - 1 (* T. D. Noe, Jun 13 2013 *)

CROSSREFS