

A216050


Consider the unordered Goldbach partitions of the even numbers m. Then a(n) is the least m which contains 2n1 such partitions composed of odd primes.


1



6, 22, 48, 78, 90, 144, 168, 234, 288, 210, 300, 474, 528, 390, 480, 570, 672, 756, 714, 690, 630, 930, 960, 924, 1134, 840, 1302, 1230, 1050, 1386, 1380, 1896, 1620, 1500, 1530, 1590, 1470, 1800, 2244, 2160, 1920, 1680, 2040, 2478, 2838, 1890, 2460, 2580
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OFFSET

1,1


COMMENTS

A002375(a(n)/2) = 2n1.


LINKS

J. Stauduhar, Table of n, a(n) for n = 1..100


EXAMPLE

a(1) = 6, because 6 = {3+3} is the least m to contain one such partition.
a(2) = 22, because 22 = {3+19, 5+17, 11+11} is the least m to contain three such partitions.
a(3) = 48, because 48 = {5+43, 7+41, 11+37, 17+31, 19+29} is the least m to contain five such partitions.


MATHEMATICA

For[ls1=ls2={}; ct1=n=1, n<=1000, n++, For[ct2=i=1, i<=2n1, i++, If[OddQ[i] && PrimeQ[i] && PrimeQ[2ni], ct2++]]; AppendTo[ls1, Floor[ct2/2]]; While[(pos=Position[ls1, ct1, 1, 1])!={}, AppendTo[ls2, 2*pos[[1, 1]]]; ct1+=2; ]]; ls2 (* J. Stauduhar, Sep 04 2012 *)


CROSSREFS

Cf. A002375.
Sequence in context: A015721 A182200 A072972 * A202803 A092185 A216894
Adjacent sequences: A216047 A216048 A216049 * A216051 A216052 A216053


KEYWORD

nonn


AUTHOR

J. Stauduhar, Sep 04 2012


STATUS

approved



