freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-221-alexandrian-integers.md

id	title	challengeType	forumTopicId	dashedName
5900f4491000cf542c50ff5c	Problem 221: Alexandrian Integers	5	301864	problem-221-alexandrian-integers

--description--

We shall call a positive integer A an "Alexandrian integer", if there exist integers p, q, r such that:

A = p \times q \times r

and

\frac{1}{A} = \frac{1}{p} + \frac{1}{q} + \frac{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.

--hints--

alexandrianIntegers() should return 1884161251122450.

assert.strictEqual(alexandrianIntegers(), 1884161251122450);

--seed--

--seed-contents--

function alexandrianIntegers() {

  return true;
}

alexandrianIntegers();

--solutions--

// solution required