Can both
n + 3 and
n^2 + 3 be perfect cubes if n is an integer ?
(In reply to
My Idea by Ravi Raja)
Well, I tried n=4, and n+3 is 7, which isn't a perfect cube, so I think that it's impossible for n+3 to be a perfect cube.
.. You could prove that it's possible, of course, by finding a single example, but no number of counterexamples will ever serve as sufficient disproof.
|
Posted by DJ
on 2003-08-14 07:25:55 |