MathDB
H 22

Source:

May 25, 2007
symmetryDiophantine Equations

Problem Statement

Find all integers a,b,c,x,y,za,b,c,x,y,z such that a+b+c=xyz,  x+y+z=abc,  a≥b≥c≥1,  x≥y≥z≥1.a+b+c=xyz, \; x+y+z=abc, \; a \ge b \ge c \ge 1, \; x \ge y \ge z \ge 1.
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