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Search: id:A112825
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| A112825 |
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Least even number k such that the Goldbach gap is 2n, or 0 if no such number exists. |
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+0
3
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| 4, 10, 14, 24, 22, 26, 36, 34, 50, 52, 46, 60, 58, 70, 62, 80, 78, 74, 84, 82, 86, 94, 100, 126, 114, 106, 120, 118, 130, 0, 138, 0, 134, 144, 142, 152, 158, 162, 176, 172, 166, 0, 178, 196, 0, 208, 198, 194, 204, 202, 230, 216, 214, 236, 0, 226, 0, 0, 0, 0, 258, 0, 254
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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A112823 - A020481.
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EXAMPLE
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a(1)=10 because the two Goldbach partitions of 10 are {3,7} & {5,5} and (5-3)/2=1.
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MATHEMATICA
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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, {100}]; Do[a = f[2n]; If[a < 100 && t[[a/2 + 1]] == 0, t[[a/2 + 1]] = 2n; Print[{2a, 2n}]], {n, 2, 10^4}]; Take[t, 63]
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CROSSREFS
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Cf. A020481.
Sequence in context: A114335 A099355 A060031 this_sequence A051741 A022382 A125302
Adjacent sequences: A112822 A112823 A112824 this_sequence A112826 A112827 A112828
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 05 2005
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