A Unique Proof for the Infinitude of Primes

Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician. Skilled in applied mathematics, Kummer trained German army officers in ballistics. He taught in a gymnasium (the German equivalent of high school) for 10 years where he inspired the mathematical career of Leopold Kronecker. Kummer made several contributions to mathematics in different areas; he codified some of the relations between different hypergeometric series, known as contiguity relations. He even proved Fermat’s last theorem for a considerable class of prime exponents. However, his proof of the infinitude of primes qualifies to be one of the most elegant and beautiful results in mathematics.

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