6-Aug-1995 (revised 8/11/95)

Unsolved Problem 32:

Can you find three integers x, y, and z, such that (x+y+z)^3=xyz?

Reference:

[Ogilvy 1988]
C. Stanley Ogilvy and John T. Anderson, Excursions in Number Theory. Dover. New York: 1988. Page 81.
Can the Cube of a Sum Equal their Product
Each week, for your edification, we publish a well-known unsolved mathematics problem. These postings are intended to inform you of some of the difficult, yet interesting, problems that mathematicians are investigating. We do not suggest that you tackle these problems, since mathematicians have been unsuccessfully working on these problems for many years.

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