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(Almost) Solve Fermat's Last Theorem
It's a well-known fact that Fermat's Last Theorem is true. More specifically, that for any integer \$n \ge 2\$, there are no three integers \$a, b, c\$ such that
$$a^n + b^n = c^n$$
However, there are a number of near misses. For example,
$$6^3 + 8^3 = 9^3 - 1...