Fermat's Last Theorem states that there are no three positive integers $a$, $b$, and $c$ that satisfy the equation $a^n + b^n = c^n$ for any integer value of $n$ greater than 2. This theorem is famously known for remaining unproven for over 350 years until it was finally resolved by Andrew Wiles in 1994, establishing a deep connection with modular forms and elliptic curves, which ties into several advanced concepts in number theory.
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