2018-10-10 22:03:03 +00:00
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id: 5900f5331000cf542c510045
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2020-12-16 07:37:30 +00:00
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title: 问题454：丢番图倒数III
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2018-10-10 22:03:03 +00:00
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challengeType: 5
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videoUrl: ''
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---
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2020-12-16 07:37:30 +00:00
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# --description--
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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在下面的等式中，x，y和n是正整数。
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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1x + 1y = 1n
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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对于极限L，我们将F（L）定义为满足x <y≤L的解的数量。
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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我们可以验证F（15）= 4和F（1000）= 1069.找到F（1012）。
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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# --hints--
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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`euler454()`应该返回5435004633092。
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2018-10-10 22:03:03 +00:00
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```js
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2020-12-16 07:37:30 +00:00
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assert.strictEqual(euler454(), 5435004633092);
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2018-10-10 22:03:03 +00:00
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```
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2020-12-16 07:37:30 +00:00
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# --solutions--
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2020-08-13 15:24:35 +00:00
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