prove that prime numbers are infinite
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P = p1p2 pn + 1. The number P has remainder 1 when divided by any prime pi, i = 1,...,n, making it a prime number as long as P ≠ 1. ... Therefore, there are infinitely many prime numbers. Alternatively, one can leave out the assumption and let p1,...,n be any ar- bitrary finite list of prime numbers.
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