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Infinite Illation Decision (Posted on 2015-12-31) Difficulty: 3 of 5
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.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Lucozade (Spoiler) Comment 3 of 3 |
(In reply to Lucozade (Spoiler) by Harry)

Very neat.
  Posted by broll on 2016-01-01 08:57:54

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