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A002373
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Smallest prime in decomposition of 2n into sum of two odd primes.
(Formerly M2273 N0899)
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18
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3, 3, 3, 5, 3, 3, 5, 3, 3, 5, 3, 5, 7, 3, 3, 5, 7, 3, 5, 3, 3, 5, 3, 5, 7, 3, 5, 7, 3, 3, 5, 7, 3, 5, 3, 3, 5, 7, 3, 5, 3, 5, 7, 3, 5, 7, 19, 3, 5, 3, 3, 5, 3, 3, 5, 3, 5, 7, 13, 11, 13, 19, 3, 5, 3, 5, 7, 3, 3, 5, 7, 11, 11, 3, 3, 5, 7, 3, 5, 7, 3, 5, 3, 5, 7, 3, 5, 7, 3, 3, 5, 7, 11, 11, 3, 3, 5, 3
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OFFSET
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3,1
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COMMENTS
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See A020481 for another version.
a(A208662(n)) = A065091(n) and a(m) <> A065091(n) for m < A208662(n). [Reinhard Zumkeller, Feb 29 2012]
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REFERENCES
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D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 80.
N. Pipping, Neue Tafeln fuer das Goldbarsche Gesetz nebst Berichtungen zu den Haussnerschen Tafeln, Finska Vetenskaps-Societeten, Comment. Physico Math.. 4 (No. 4, 1927), 27 pp.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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T. D. Noe, Table of n, a(n) for n = 3..10000
Eric Weisstein's World of Mathematics, Goldbach Partition
Wikipedia, Goldbach's conjecture
Index entries for sequences related to Goldbach conjecture
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MATHEMATICA
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Table[k = 2; While[q = Prime[k]; ! PrimeQ[2*n - q], k++]; q, {n, 3, 100}]
(* From Jean-François Alcover, Apr 26 2011 *)
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PROG
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(Haskell)
a002373 n = head $ dropWhile ((== 0) . a010051 . (2*n -)) a065091_list
-- Reinhard Zumkeller, Feb 29 2012
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CROSSREFS
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Cf. A002372, A002374, A014092.
Cf. A065091, A010051.
Sequence in context: A011277 A084742 A049613 * A103153 A162022 A096918
Adjacent sequences: A002370 A002371 A002372 * A002374 A002375 A002376
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KEYWORD
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nonn,nice,easy
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from Ray Chandler, Sep 19 2003
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STATUS
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approved
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