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.

Smallest k such that circle x^2 + y^2 = k passes through exactly 4n integer points

Edited on July 31, 2023, 12:29 am

Posted by K Sengupta on 2023-07-31 00:28:39