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18176A property of prime twins, only?

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  • Sebastian Martin
    Jul 1, 2006
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      Hello All:

      you can see this conjecture at Primepuzzles.net:

      Problems & Puzzles: Conjectures

      Conjecture 44. A property of prime twins, only?

      Sebastián Martín Ruiz sends the following conjecture
      from his own invention:

      Let p, q be consecutive prime numbers, p<q.
      Let z=sqrt[(p^2+q^2)/2-1]

      Conjecture: p&q are prime twins iff z is integer.

      Question: Prove it or show it false.

      Sincerely

      Sebastian Martin Ruiz

      http://perso.wanadoo.es/smaranda









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