cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

Original entry on oeis.org

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

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Author

Zak Seidov, Jun 15 2013

Keywords

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?

Examples

			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)
		

Crossrefs

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

Programs

  • 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 *)
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