Out of every two consecutive numbers one will always be even. There is only one even prime number. Whether there are an infinite number of pairs of primes which differ by two (the twin prime conjecture) รขโ‚ฌยฆ

To prove that 2 2 is the only even prime number we need to prove following: (1) 2 2 is an even prime number (2) if there existed another even prime number say m m, then m = 2 รขโ‚ฌยฆ

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