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RE n, n+1: common prime factor

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  • Jose Ramón Brox
    Another way to see it: Multiples of prime p occur every p numbers because of the definition of the primes. If the number k is a multiple of p, then the next
    Message 1 of 1 , May 27, 2005
      Another way to see it:

      Multiples of prime p occur every p numbers because of the definition of the primes. If the
      number k is a multiple of p, then the next multiple of p will be (k+p). Since the least
      prime is p=2, k+1 does not share any prime factor with k.

      Regards. Jose Brox
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