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Post Closed as "too localized" by Andy Putman, Felipe Voloch, Gerry Myerson, Yemon Choi, Cam McLeman
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Is there an algebraic proof of the infinitude of primes?It is well-known that there exists a (justly celebrated) topological proof of the infinitude of primes (Hillel Fürstenburg, 1955). Does there also exist an algebraic proof?
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