43 lines
783 B
Markdown
43 lines
783 B
Markdown
---
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id: 5900f4551000cf542c50ff68
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title: 'Problem 233: Lattice points on a circle'
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challengeType: 5
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forumTopicId: 301877
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dashedName: problem-233-lattice-points-on-a-circle
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---
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# --description--
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Let $f(N)$ be the number of points with integer coordinates that are on a circle passing through $(0,0)$, $(N,0)$,$(0,N)$, and $(N,N)$.
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It can be shown that $f(10000) = 36$.
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What is the sum of all positive integers $N ≤ {10}^{11}$ such that $f(N) = 420$?
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# --hints--
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`latticePointsOnACircle()` should return `271204031455541300`.
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```js
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assert.strictEqual(latticePointsOnACircle(), 271204031455541300);
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```
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# --seed--
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## --seed-contents--
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```js
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function latticePointsOnACircle() {
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return true;
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}
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latticePointsOnACircle();
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```
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# --solutions--
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```js
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// solution required
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```
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