1.1 KiB
1.1 KiB
id | challengeType | title | forumTopicId |
---|---|---|---|
5900f4491000cf542c50ff5c | 5 | Problem 221: Alexandrian Integers | 301864 |
Description
We shall call a positive integer A an "Alexandrian integer", if there exist integers p, q, r such that: A = p · q · r and 1/A = 1/p + 1/q + 1/r
For example, 630 is an Alexandrian integer (p = 5, q = −7, r = −18). In fact, 630 is the 6th Alexandrian integer, the first 6 Alexandrian integers being: 6, 42, 120, 156, 420 and 630.
Find the 150000th Alexandrian integer.
Instructions
Tests
tests:
- text: <code>euler221()</code> should return 1884161251122450.
testString: assert.strictEqual(euler221(), 1884161251122450);
Challenge Seed
function euler221() {
// Good luck!
return true;
}
euler221();
Solution
// solution required