perplexus.info :: Numbers : 1997 Crossed Difference Product Poser

1997 Crossed Difference Product Poser (Posted on 2023-05-22)

Find all pairs (x,y) of positive integers that satisfy this equation:

• x²+y² = 1997(x-y)

Provide valid reasoning as to why there are no further solutions.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(x,y)=(1827,145), (170,145).
For an explanation, refer to the analytic solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Analytic Solution	Brian Smith	2023-05-22 10:06:34
Solution	Larry	2023-05-22 07:30:01

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