45 lines
642 B
Markdown
45 lines
642 B
Markdown
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---
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id: 5900f52c1000cf542c51003e
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title: 'Problem 447: Retractions C'
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challengeType: 5
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forumTopicId: 302119
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dashedName: problem-447-retractions-c
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---
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# --description--
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For every integer n>1, the family of functions fn,a,b is defined
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by fn,a,b(x)≡ax+b mod n for a,b,x integer and 0
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F(N)=∑R(n) for 2≤n≤N. F(107)≡638042271 (mod 1 000 000 007).
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Find F(1014) (mod 1 000 000 007).
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# --hints--
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`euler447()` should return 530553372.
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```js
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assert.strictEqual(euler447(), 530553372);
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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 euler447() {
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return true;
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}
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euler447();
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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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