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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A112826 Conjectured values of A112825 which are 0.

Original entry on oeis.org

58, 62, 82, 88, 108, 112, 114, 116, 118, 122, 130, 140, 148, 152, 162, 182, 184, 196, 198, 200, 202, 212, 214, 218, 240, 242, 244, 250, 254, 256, 258, 262, 272, 282, 284, 292, 296, 298, 316, 320, 322, 332, 336, 340, 358, 362, 366, 382, 394, 400, 410, 412
Offset: 1

Views

Author

Robert G. Wilson v, Sep 05 2005

Keywords

Comments

It is conjectured that there does not exist a Goldbach partition yielding a Goldbach "gap" of n as defined, for n=58,62,82,....
These are the even numbers that do not appear in A112824.

Crossrefs

Cf. A020481.

Programs

  • Mathematica
    f[n_] := Block[{p = 2, q = n/2}, While[ !PrimeQ[p] || !PrimeQ[n - p], p++ ]; While[ !PrimeQ[q] || !PrimeQ[n - q], q-- ]; q - p];
    t = Table[0, {10000}];
    Do[a = f[2n]; If[a < 10000 && t[[a/2 + 1]] == 0, t[[a/2 + 1]] = 2n], {n, 2, 10^6}];
    Take[ 2*Flatten[ Position[t, 0] - 1], 52]

Extensions

Corrected by T. D. Noe, Feb 14 2011
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