Question 3
Determine all positive integers $n$ for which the equation
$$
x^{n}+(2+x)^{n}+(2-x)^{n}=0
$$
has an integer as a solution.
$$
x^{n}+(2+x)^{n}+(2-x)^{n}=0
$$
has an integer as a solution.
MathNet 1993 — Part 01 Question 3
Math Olympiad Vault · MathNet 1993 — Part 01