# Two more representation problems

Andrew Bremner, Richard K. Guy

Research output: Contribution to journalArticle

2 Citations (Scopus)

### Abstract

We discuss the problem of finding those integers which may be represented by (x + y + z)3/xyz, and also those which may be represented by x/y + y/z + z/x, where x, y, z are integers. For example, x = -3888953655693309094309277243253295616000, y = 870614350109377939730940722158565152629, z = -211788680591112853611774198484237121509 satisfy (x + y + z)3/(xyz) = -47, and x = 10695607136243980529530429582617991136107507407713992824, y = -123256655541019041417443728014061733054947136623569984, z = 8446121230200308492574953446465639841507828834632079329 satisfy x/y + y/z + z/x = -86.

Original language English (US) 1-17 17 Proceedings of the Edinburgh Mathematical Society 40 1 Published - 1997

Integer

### ASJC Scopus subject areas

• Mathematics(all)

### Cite this

Two more representation problems. / Bremner, Andrew; Guy, Richard K.

In: Proceedings of the Edinburgh Mathematical Society, Vol. 40, No. 1, 1997, p. 1-17.

Research output: Contribution to journalArticle

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