freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-447-retractions-c.english.md

id, challengeType, title, forumTopicId

id	challengeType	title	forumTopicId
5900f52c1000cf542c51003e	5	Problem 447: Retractions C	302119

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 0F(N)=∑R(n) for 2≤n≤N. F(107)≡638042271 (mod 1 000 000 007).

Find F(1014) (mod 1 000 000 007).

Instructions

Tests

tests:
  - text: <code>euler447()</code> should return 530553372.
    testString: assert.strictEqual(euler447(), 530553372);

Challenge Seed

function euler447() {
  // Good luck!
  return true;
}

euler447();

Solution

// solution required