data/problems/233.yml from yaworsw/euler-manager

data/problems/233.yml

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---
:id: 233
:name: Lattice points on a circle
:url: https://projecteuler.net/problem=233
:content: |+
  Let <var>f</var>(<var>N</var>) be the number of points with integer coordinates that are on a circle passing through (0,0), (<var>N</var>,0),(0,<var>N</var>), and (<var>N</var>,<var>N</var>).

  It can be shown that <var>f</var>(10000) = 36.

  What is the sum of all positive integers <var>N</var> ≤ 10<sup>11</sup> such that <var>f</var>(<var>N</var>) = 420 ?