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A025019 Smallest prime in Goldbach partition of A025018(n). 9
2, 3, 5, 7, 19, 23, 31, 47, 73, 103, 139, 173, 211, 233, 293, 313, 331, 359, 383, 389, 523, 601, 727, 751, 829, 929, 997, 1039, 1093, 1163, 1321, 1427, 1583, 1789, 1861, 1877, 1879, 2029, 2089, 2803, 3061, 3163, 3457, 3463, 3529, 3613, 3769, 3917, 4003, 4027, 4057 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Increasing subsequence of A020481.

LINKS

N. J. A. Sloane, Table of n, a(n) for n=1..67 (from the web page of Tomas Oliveira e Silva)

Mark A. Herkommer, Goldbach Conjecture Research

Tomas Oliveira e Silva, Goldbach conjecture verification

Jörg Richstein, Verifying the Goldbach conjecture up to 4 * 10^14, Math. Comp., 70 (2001), 1745-1749.

Index entries for sequences related to Goldbach conjecture

EXAMPLE

1427 and 1583 are two consecutive terms because A020481(167535419) = 1427 and A020481(209955962) = 1583 and for 167535419 < n < 209955962 A020481(n) <= 1427.

MATHEMATICA

p = 1; q = {}; Do[ k = 2; While[ !PrimeQ[k] || !PrimeQ[2n - k], k++ ]; If[k > p, p = k; q = Append[q, p]], {n, 2, 10^8}]; q

CROSSREFS

Cf. A025018, A020481, A097224, A097226.

Sequence in context: A129693 A153590 A244529 * A140327 A163074 A230041

Adjacent sequences:  A025016 A025017 A025018 * A025020 A025021 A025022

KEYWORD

nonn

AUTHOR

David W. Wilson, Dec 11 1999

EXTENSIONS

Edited and extended by Robert G. Wilson v, Dec 13 2002

More terms and b-file added by N. J. A. Sloane, Nov 28 2007

STATUS

approved

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Last modified October 25 22:57 EDT 2014. Contains 248564 sequences.