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A092818
Second 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.
4
7, 99, 111, 475, 365, 525, 704, 575, 625, 756, 864, 1173, 816, 1001, 931, 913, 1015, 1274, 1125, 1159, 1001, 1073, 1391, 1479, 1359, 1649, 1463, 1717, 1421, 1748, 2047, 1480, 1541, 1664, 1725, 1595, 1771, 2400, 2507, 2432, 2349, 1960, 2033, 2023, 2597
OFFSET
1,1
COMMENTS
A092817 gives first component, A092819 gives third component.
EXAMPLE
The fifth triple is 335, 365, 475, hence a(5) = 365.
PROG
(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(b, ", ")))))); }
CROSSREFS
KEYWORD
nonn
AUTHOR
Klaus Brockhaus, Mar 06 2004
STATUS
approved