A226719 a(n) = the first member of a twin prime pair whose sum equals the sums of n consecutive pairs of twin primes.

3, 17, 59, 101, 107, 521, 239, 569, 881, 1427, 1091, 1289, 1301, 3167, 2027, 2309, 8837, 2969, 3389, 3821, 4787, 13679, 23909, 27407, 10889, 7877, 14627, 16631, 21011, 13997, 17027, 20441, 12107, 26711, 36467, 36779, 38567, 32909, 27479, 18521, 19751, 32057, 48479

Offset

1,1

Comments

What is the origin of the lower bound of a(n), see graph?

Apparently a(n) > n^(5/2) but what about more strict bound?

Links

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

Example

a(1) = 3 because 3 + 5 = 3 + 5 (trivial case)
a(2) = 17 = A225943(1)
a(3) = 59 = A226692(1)
a(4) = 101 because 101 + 103 = (11 + 13) + (17 + 19) + (29 + 31) + (41 + 43)
a(5) = 107 because 107 + 109 = (5 + 7) +  (11 + 13) + (17 + 19) + (29 + 31) + (41 + 43)

Mathematica

n = 1; t = {}; While[d = Intersection[s, Total /@ Partition[s, n, 1]]; Length[d] > 0, AppendTo[t, d[[1]] - 1]; n++]; t (* T. D. Noe, Jun 17 2013 *)

Crossrefs

Cf. A226692 (three pairs), A225943 (two pairs).

Sequence in context: A212415 A152457 A130857 * A168547 A208996 A273949

Adjacent sequences: A226716 A226717 A226718 * A226720 A226721 A226722

Keyword

nonn

Author

Zak Seidov, Jun 15 2013

Status

approved