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

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

Sequence in context: A007349 A154616 A196938 * A069755 A076727 A347530

Adjacent sequences: A225940 A225941 A225942 * A225944 A225945 A225946

Keyword

nonn

Author

César Aguilera, May 21 2013

Extensions

Extended by T. D. Noe, Jun 13 2013

Status

approved