Problem 110: Diophantine Reciprocals II

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

1/x + 1/y = 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?

Test

Boilerplate code

Console output

Shortcuts on this page

Use Cmd instead of Ctrl if you're on a Mac.

`g`	Focus editor
`Ctrl`-`Enter`	Run the test with current code
`Ctrl`-`Shift`-`K`	Reset the editor
`Ctrl`-`Shift`-`L`	Clear console output
`Ctrl`-`Shift`-`X`	Show the solution
`[`	Previous challenge
`]`	Next challenge
`T`	Back to top page
`?`	Show this dialog
`ESC`	Hide this dialog
`Shift`-`ESC`	Blur focus from editor