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 Integer points on circles. (Posted on 2011-02-28)
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)

 Subject Author Date re: OEIS sequence, NOT THIS ONE Ady TZIDON 2011-03-01 16:37:47 OEIS sequence Brian Smith 2011-03-01 11:26:35 further and further ... Ady TZIDON 2011-03-01 11:20:45 re(2): n = 2 Steve Herman 2011-03-01 11:08:26 re: n = 3 (spoiler), difficulty d2? Ady TZIDON 2011-03-01 09:11:08 re: n = 2 Ady TZIDON 2011-03-01 09:09:29 n = 4 + full solution (spoiler) Steve Herman 2011-03-01 03:26:31 n = 5 (spoiler) Steve Herman 2011-03-01 03:07:21 N=5 Brian Smith 2011-02-28 21:32:14 A symmetry argument Steve Herman 2011-02-28 18:03:38 n = 3 (spoiler), difficulty d2? Steve Herman 2011-02-28 17:57:40 n = 2 Steve Herman 2011-02-28 17:50:01 re: 1st four --d1 Steve Herman 2011-02-28 17:48:17 1st four --d1 Ady TZIDON 2011-02-28 13:50:12

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