A092817 - OEIS

A092817

First 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.

5, 69, 87, 125, 335, 315, 184, 391, 425, 324, 384, 207, 612, 455, 589, 747, 725, 494, 675, 671, 847, 851, 749, 663, 783, 679, 931, 707, 1029, 736, 575, 1184, 1139, 1088, 1035, 1247, 1127, 720, 763, 896, 999, 1400, 1391, 1445, 901, 1288, 1661, 1395, 1175

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OFFSET

1,1

COMMENTS

A092818 gives second component, A092819 gives third component.

LINKS

Table of n, a(n) for n=1..49.

EXAMPLE

The sixth triple is 315, 525, 735, hence a(6) = 315.

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(a, ", ")))))); }

CROSSREFS