

A226719


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


1



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
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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



