Problem
of the
Week

PROBLEM 248

For which positive integers a, b, c  is  a/b + b/c + c/a  an integer? 

(For the hungrier: For which positive integers a1,...an is a1/a2 + a2/a3 + ... + an-1/an + an/a1 an integer?)

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ã2006 Alberto L. Delgado