802 B
802 B
id | title | challengeType | forumTopicId |
---|---|---|---|
5900f5261000cf542c510038 | Problem 441: The inverse summation of coprime couples | 5 | 302113 |
--description--
For an integer M, we define R(M) as the sum of 1/(p·q) for all the integer pairs p and q which satisfy all of these conditions:
1 ≤ p < q ≤ M p + q ≥ M p and q are coprime.
We also define S(N) as the sum of R(i) for 2 ≤ i ≤ N. We can verify that S(2) = R(2) = 1/2, S(10) ≈ 6.9147 and S(100) ≈ 58.2962.
Find S(107). Give your answer rounded to four decimal places.
--hints--
euler441()
should return 5000088.8395.
assert.strictEqual(euler441(), 5000088.8395);
--seed--
--seed-contents--
function euler441() {
return true;
}
euler441();
--solutions--
// solution required