Find all possible positive integers P, which are not perfect squares, such that (floor(√P))³ divides P²

(In reply to re: answer by broll)

My sentiment exactly.  It's not hard to find P={2,3,8,24}
I am able to show that P=n²-1 for only n=2,3,5
but its pretty messy
and that P=n²-2 for only n=2
is even messier

but to show these are the only possibilities I haven't done.  In fact there may be more.

Posted by Jer on 2016-01-02 12:23:49