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More on the problem of Diophantus. (English) Zbl 0649.10011

Applications of Fibonacci numbers, Proc. 2nd Int. Conf., San Jose/Cal., August 1986, 177-181 (1988).
A number of recent papers have dealt with the problem of finding a set of four numbers with the property that the product of any two distinct elements of the set when increased by a specified integer is a square. In the present paper several solutions of this problem are given. Most of the paper, however, is devoted to finding a set of five rational numbers, not all of which are integers, such that the product of any two is one less than the square of a rational number.
[For the entire collection see Zbl 0635.00004.]

MSC:

11D99 Diophantine equations

Citations:

Zbl 0635.00004