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My favorite is Kummer's variation of Euclid's proof. Perhaps the strangest is Fürstenberg's topological proof. Check them out and see which one you like. [Move up one level] Euclid's Proof (c. 300 BC) Furstenberg's Topological Proof (1955) Goldbach's Proof (1730) Kummer's Restatement of Euclid's Proof Filip Saidak's Proof (2005)