--description--

In the following equation x, y, and n are positive integers.

$$\frac{1}{x} + \frac{1}{y} = \frac{1}{n}$$

It can be verified that when n = 1260 there are 113 distinct solutions and this is the least value of n for which the total number of distinct solutions exceeds one hundred.

What is the least value of n for which the number of distinct solutions exceeds four million?

Note: This problem is a much more difficult version of Problem 108 and as it is well beyond the limitations of a brute force approach it requires a clever implementation.

--hints--

diophantineTwo() should return 9350130049860600.

assert.strictEqual(diophantineTwo(), 9350130049860600);

--seed--

--seed-contents--

function diophantineTwo() {

  return true;
}

diophantineTwo();

--solutions--

// solution required