

A112826


Conjectured values of A112825 which are 0.


1



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
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OFFSET

1,1


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.


LINKS

Table of n, a(n) for n=1..52.


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]


CROSSREFS

Cf. A020481.
Sequence in context: A247096 A276186 A129546 * A224359 A226036 A127024
Adjacent sequences: A112823 A112824 A112825 * A112827 A112828 A112829


KEYWORD

nonn


AUTHOR

Robert G. Wilson v, Sep 05 2005


EXTENSIONS

Corrected by T. D. Noe, Feb 14 2011


STATUS

approved



