perplexus.info :: Just Math : Perfect Square and Odd Puzzle

Perfect Square and Odd Puzzle (Posted on 2016-10-04)

Each of X and Y is an odd positive integer and
X² - Y² + 1 divides Y² - 1.

Is X² - Y² + 1 a perfect square for every possible pair of (X,Y)?
If so, prove it.
If not, provide a counterexample.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

Only odd n will produce valid solutions with both x and y odd.
For an explanation, refer to the analytic solution submitted by broll in this location.

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

	Subject	Author	Date
	Possible solution	broll	2016-10-05 04:13:49

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