perplexus.info :: Numbers : 7 hypotenuses

Home > Numbers

7 hypotenuses (Posted on 2020-07-10)

What is the smallest integer that can be presented as a sum of 2 squares of distinct integers in 7 different ways?

No Solution Yet Submitted by Ady TZIDON

No Rating

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

solution

| Comment 2 of 4 |

If you interpret 'distinct integers' as 'distinct pairs of integers' and allow negatives you get the smaller solution 65.

1,8

1,-8

-1,8

-1,-8

4,7

4,-7

-4,7

-4,-7

Posted by xdog on 2020-07-11 08:01:56

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info