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Integer points on circles. (Posted on 2011-02-28) Difficulty: 3 of 5
If a circle is centered on the origin and has radius r, it may pass through some points with integer coordinates. In fact, by symmetry, this will be a multiple of 4.

Find the smallest radius that will pass through 4n integer points where n=1,2,3,4,5.

Feel free to go further.

See The Solution Submitted by Jer    
Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re(2): n = 2 | Comment 11 of 14 |
(In reply to re: n = 2 by Ady TZIDON)

Ady:


Ah yes, now that I understand, I do agree with your solution for n = 1,2,3,4.  Full marks!

Steve



  Posted by Steve Herman on 2011-03-01 11:08:26
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