freeCodeCamp/curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-446-retractions-b.md

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---
id: 5900f52c1000cf542c51003d
title: 'Problem 446: Retractions B'
challengeType: 5
forumTopicId: 302118
dashedName: problem-446-retractions-b
---
# --description--
For every integer n>1, the family of functions fn,a,b is defined
by fn,a,b(x)≡ax+b mod n for a,b,x integer and 0
F(N)=∑R(n4+4) for 1≤n≤N. F(1024)=77532377300600.
Find F(107) (mod 1 000 000 007)
# --hints--
`euler446()` should return 907803852.
```js
assert.strictEqual(euler446(), 907803852);
```
# --seed--
## --seed-contents--
```js
function euler446() {
return true;
}
euler446();
```
# --solutions--
```js
// solution required
```