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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-407-idempotents.md
Oliver Eyton-Williams ee1e8abd87 feat(curriculum): restore seed + solution to Chinese (#40683)
* feat(tools): add seed/solution restore script

* chore(curriculum): remove empty sections' markers

* chore(curriculum): add seed + solution to Chinese

* chore: remove old formatter

* fix: update getChallenges

parse translated challenges separately, without reference to the source

* chore(curriculum): add dashedName to English

* chore(curriculum): add dashedName to Chinese

* refactor: remove unused challenge property 'name'

* fix: relax dashedName requirement

* fix: stray tag

Remove stray `pre` tag from challenge file.

Signed-off-by: nhcarrigan <nhcarrigan@gmail.com>

Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
2021-01-12 19:31:00 -07:00

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Markdown

---
id: 5900f5041000cf542c510016
title: 'Problem 407: Idempotents'
challengeType: 5
forumTopicId: 302075
dashedName: problem-407-idempotents
---
# --description--
If we calculate a2 mod 6 for 0 ≤ a ≤ 5 we get: 0,1,4,3,4,1.
The largest value of a such that a2 ≡ a mod 6 is 4. Let's call M(n) the largest value of a &lt; n such that a2 ≡ a (mod n). So M(6) = 4.
Find ∑M(n) for 1 ≤ n ≤ 107.
# --hints--
`euler407()` should return 39782849136421.
```js
assert.strictEqual(euler407(), 39782849136421);
```
# --seed--
## --seed-contents--
```js
function euler407() {
return true;
}
euler407();
```
# --solutions--
```js
// solution required
```