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24949Two apparently useless primes

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  • Kermit Rose
    Mar 15, 2013
    • 0 Attachment
      1:

      If k is a positive integer such that there does not exist a nonzero m,
      different than k, such that
      (6 m + 1) divides (k-m), then (6k+1) is prime.

      2:

      If k is a positive integer such that there does not exist a nonzero m,
      different than (-k), such that
      (6m + 1) divides (k+m), then (6k-1) is prime.

      Kermit