Dirichlet's Theorem on Primes in Arithmetic Progressions, proved in 1837, needing complex analytic real-analytic methods could possibly be the first major candidate for a number-theoretic result departing from finite methods. (This was proved 50 years earlier than Prime Number Theorem).
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Dirichlet's Theorem on Primes in Arithmetic Progressions, proved in 1837, needing complex analytic methods could possibly be the first major candidate for a number-theoretic result departing from finite methods. (This was proved 50 years earlier than Prime Number Theorem). |
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