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%I #3 Mar 30 2012 17:27:41
%S 11,111,153,575,475,735,776,713,1025,864,1056,1311,1020,1183,1159,
%T 1411,1595,1716,1575,1769,1463,1147,1819,1683,1665,2231,2261,1919,
%U 2009,2300,2369,2072,2479,2368,2415,2407,2093,2640,3161,2560,3051,2240,3103,3179
%N Third component of triples a,b,c such that a < b < c, (a*b) mod (a+b) = c, (b*c) mod (b+c) = a, (c*a) mod (c+a) = b. The triples are ordered according to sum of first and second component.
%C A092817 gives first component, A092818 gives second component.
%e The fourth triple is 125, 475, 575, hence a(4) = 575.
%o (PARI) {m=4000;for(n=3,m, for(a=1,(n-1)\2,b=n-a;c=a*b%(a+b);if(b<c,if((b*c)%(b+c)==a, if((a*c)%(a+c)==b,print1(c,","))))));}
%Y Cf. A091509, A092817, A092818.
%K nonn
%O 1,1
%A _Klaus Brockhaus_, Mar 06 2004