Thanks for helping me find this.

try with your original solution. should work now.

OK found a simple mistake that was causing the error. Should work now! Now passes both your and my solution at any rate.
Sorry for the frustration...

scratch my last response! need to take a closer look.

Test added with a higher range, so you'll need to find a list that goes quite high to get it to work that way now!

This issue should be fixed. I have also added a test for larger achilles numbers.

@myjinxin, thanks, definitely an error there, will sort out out.
@smile67, just realised why your solution got invalidated and then revalidated: your list only goes to 5000 but the random test goes higher. gives me the idea to try at different ranges.

Hi, glad you like it! 32 is indeed not Achilles, because it is a perfect power. The way you've written the factorization can be simplified to 2⁵. Achilles are powerful, but not perfect, so you shouldn't be able to simplify the factorization to the point there's only a single base. Does that make sense?

Thanks. Should work now.

oops! didn't mean for it to be solved this way. hopefully that wont work any more.