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, proposed by Pierre de Fermat in 1637, remained unproven for over 350 years and is a pivotal point in the history of number theory, illustrating the deep connections between simple equations and advanced mathematical concepts.
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