perplexus.info :: Just Math : Distinct Products

Distinct Products (Posted on 2014-08-28)

Given a positive integer n, define the set S as:
S = {n³+1, n³+2, ... ,(n+1)³}.

Three numbers x, y and z are chosen from S.

How many distinct values can be assumed by the product xyz ?

**** x, y and z may or may not be distinct.

No Solution Yet Submitted by K Sengupta

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