Question 24
Prove that none of the numbers
$$
F_{n} = 2^{2^{n}} + 1, \quad n = 0, 1, 2, \ldots,
$$
is a cube of an integer.
$$
F_{n} = 2^{2^{n}} + 1, \quad n = 0, 1, 2, \ldots,
$$
is a cube of an integer.
MathNet 1990 — Part 01 Question 24
Math Olympiad Vault · MathNet 1990 — Part 01