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%I #4 Mar 30 2012 18:51:04
%S 2,3,3,3,5,5,5,5,7,5,7,7,11,7,11,7,13,11,11,11,13,11,13,11,17,13,17,
%T 11,19,13,17,13,19,13,19,17,23,17,23,17,31,17,23,19,29,17,31,19,29,19,
%U 31,19,37,23,29,23,31,23,31,23,41,29,37,23,37,29,41,31,41,29,37,29,47,31
%N Smallest of largest parts in partitions of n into exactly three primes.
%C a(n) >= floor(n/3); a(A001748(n)) = A000040(n).
%H R. Zumkeller, <a href="/A164023/b164023.txt">Table of n, a(n) for n = 6..2500</a>
%H <a href="/index/Go#Goldbach">Index entries for sequences related to Goldbach conjecture</a>
%e a(16) = min{max(2,3,11),max(2,7,7)} = min{11,7} = 7;
%e a(17) = min{max(2,2,13),max(2,3,11),max(3,7,7),max(5,5,7)} = min{13,11,7,7} = 7.
%Y A164024, A068307.
%K nonn
%O 6,1
%A _Reinhard Zumkeller_, Aug 08 2009