Let n be the smallest positive integer such that n(n+1)(n+2)(n+3) can be expressed as either a perfect square or a perfect cube (not necessarily both).

Find n, or prove that this is not possible.

(In reply to Not a square by Federico Kereki)

F.K.,

5 x 6 x 7 x 8 = 1680 which IS divisible by 4... (notice that 8 = 2³ and 6 has only one 2 as a factor)

Posted by SilverKnight on 2004-02-24 15:46:53