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Rv: PseudoTwin Primes

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  • Sebastian Martin
    I have found another PseudoTwinprime pair   41 and 1993  (1993 don t is Twin Prime) Sincerely Sebastián Martín Ruiz ... De: Sebastian Martin
    Message 1 of 1 , May 7 4:37 PM
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      I have found another PseudoTwinprime pair   41 and 1993  (1993 don't is Twin Prime)
      Sincerely
      Sebastián Martín Ruiz

      ----- Mensaje reenviado ----
      De: Sebastian Martin <sebi_sebi@...>
      Para: Ignacio Larosa <ilarrosa@...>; Ignacio Larosa <ilarrosa@...>; Lista de Matemáticas <matracas@...>; lista de primos <primenumbers@yahoogroups.com>; Phil Carmody <thefatphil@...>; William Bouris <melangebillyb@...>; Yves Gallot <galloty@...>
      Enviado: miércoles, 7 de mayo, 2008 21:52:39
      Asunto: [PrimeNumbers] PseudoTwin Primes


      Let n,m  positive integres greater than one.
       
      Let:
       
      TW(n,m)=((n- 1)!+1)((m- 1)!+1)(n^ 2+m^2)/(n^ 2m^2+2nm)
       
      We define n and m are  pseudotwinprimes iff  TW(n,m) is integer
       
       
       
       
      Questions:
       
      1)      Prove that: If n,m are twin primes then n,m are pseudotwinprimes.
      2)      n=7 and m=191 are pseudotwinprimes( TW(7,191) integer) and don’t are twin primes.  (Of the same pair).
       
            Find more pairs of pseudotwinprimes  that don’t are twin primes.

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