1.2 KiB
1.2 KiB
id | challengeType | title | forumTopicId |
---|---|---|---|
5900f42c1000cf542c50ff3f | 5 | Problem 192: Best Approximations | 301830 |
Description
|p/q-x| < |r/s-x| ⇒ q > d
For example, the best approximation to √13 for the denominator bound 20 is 18/5 and the best approximation to √13 for the denominator bound 30 is 101/28.
Find the sum of all denominators of the best approximations to √n for the denominator bound 1012, where n is not a perfect square and 1 < n ≤ 100000.
Instructions
Tests
tests:
- text: <code>euler192()</code> should return 57060635927998344.
testString: assert.strictEqual(euler192(), 57060635927998344);
Challenge Seed
function euler192() {
return true;
}
euler192();
Solution
// solution required