perplexus.info :: Just Math : Infinite Illation Decision

Infinite Illation Decision (Posted on 2015-12-31)

Each of X and Y is a positive integer, such that:

X and Y are relatively prime, and:
Each of (X² – 5)/Y and (y² – 5)/X is a positive integer.

Does there exist an infinite numbers of pairs (X,Y) satisfying the given conditions?
Give reasons for your answer.

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

The proof of the existance of an infinite number of pairs (X, Y) satisfying the given conditions has been submitted by Harry in this location.

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

Subject	Author	Date
re: Lucozade (Spoiler)	broll	2016-01-01 08:57:54
Lucozade (Spoiler)	Harry	2015-12-31 17:52:16
It seems...	Charlie	2015-12-31 10:18:36

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