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Search: id:A109679
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| A109679 |
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Smallest even number which is the unordered sum of two primes in more ways than any previous even number. |
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+0
2
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| 2, 4, 10, 22, 34, 48, 60, 78, 84, 90, 114, 120, 168, 180, 210, 300, 330, 390, 420, 510, 630, 780, 840, 990, 1050, 1140, 1260, 1470, 1650, 1680, 1890, 2100, 2310, 2730, 3150, 3570, 3990, 4200, 4410, 4620, 5250, 5460, 6090, 6510, 6930, 7980, 8190, 9030, 9240
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Record value of A023036 or A045917.
a(n)== 0 (mod 30) for n > 13.
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LINKS
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Eric Weisstein's World of Mathematics, Goldbach Partition
Index entries for sequences related to Goldbach conjecture
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MATHEMATICA
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f[n_] := Length[ Select[n - Prime@ Range@ PrimePi[n/2], PrimeQ]]; t = {}; mxm = -1; Do[ If[ f[n] > mxm, AppendTo[t, n]; mxm = f[n]], {n, 2, 9000, 2}]; t
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CROSSREFS
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Essentially the same as A082917. Cf. A082918, A002375, A023036, A045917, A000954.
Sequence in context: A104431 A130666 A036954 this_sequence A023036 A075898 A005306
Adjacent sequences: A109676 A109677 A109678 this_sequence A109680 A109681 A109682
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KEYWORD
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nonn
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AUTHOR
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Gilmar Rodriguez Pierluissi (gilmarlily(AT)yahoo.com), Aug 30 2005
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(at)rgwv.com), Sep 08 2005
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