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A002373 Smallest prime in decomposition of 2n into sum of two odd primes.
(Formerly M2273 N0899)
24
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,1

COMMENTS

See A020481 for another version.

a(A208662(n)) = A065091(n) and a(m) <> A065091(n) for m < A208662(n). [Reinhard Zumkeller, Feb 29 2012]

Records are in A025019, their indices in A051610. - Ralf Stephan, Dec 29 2013

REFERENCES

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).

LINKS

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

MATHEMATICA

Table[k = 2; While[q = Prime[k]; ! PrimeQ[2*n - q], k++]; q, {n, 3, 100}]

(* Jean-Fran├žois Alcover, Apr 26 2011 *)

PROG

(Haskell)

a002373 n = head $ dropWhile ((== 0) . a010051 . (2*n -)) a065091_list

-- Reinhard Zumkeller, Feb 29 2012

CROSSREFS

Cf. A002372, A002374, A014092.

Cf. A065091, A010051.

Sequence in context: A011277 A084742 A049613 * A236569 A103153 A162022

Adjacent sequences:  A002370 A002371 A002372 * A002374 A002375 A002376

KEYWORD

nonn,nice,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Ray Chandler, Sep 19 2003

STATUS

approved

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Last modified July 29 04:40 EDT 2014. Contains 245018 sequences.