# I have set up the problem and solved it by trial and error but I don't know how to solve

**Question description**

There is only one set of 4 consecutive positive integers such that the sum of the cubes of three of them is equal to the cube of the remaining one . what is the smallest of these four integers?

As I see it:

x cubed + ( X + 1) cubed + (x + 2) cubed = (x + 3) cubed

Answer: 3

Integers 3, 4, 5, 6 by trial

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