perplexus.info :: Just Math : Many triplets

Many triplets (Posted on 2010-05-10)

Prove that the equation x^2+y^2=z^5 has an infinite number of positive integer solutions.

No Solution Yet Submitted by Ady TZIDON

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

Puzzle Thoughts

Comment 7 of 7 |

x=y=2^(5k+2), z=2^(2k+1), gives a parametric solution, corresponding to k.

Posted by K Sengupta on 2024-07-04 10:31:31

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info