perplexus.info :: Just Math : Yearly Diophantine Puzzle

Yearly Diophantine Puzzle (Posted on 2015-06-12)

Each of A and B (with A ≤ B) is a divisor of 2016.
For how many pairs (A, B) do A² + B² equal a perfect square?

Submitted by K Sengupta

Rating: 4.0000 (1 votes)

Solution: (Hide)

There are precisely 24 pairs (A, B) that satisfy all the given conditions.
For an explanation, refer to the computer program assisted solution submitted by Charlie in this location.

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

	Subject	Author	Date
	computer solution	Charlie	2015-06-12 15:23:04

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