Rv: PseudoTwin Primes

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• 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
I have found another PseudoTwinprime pair   41 and 1993  (1993 don't is Twin Prime)
Sincerely
Sebastián Martín Ruiz

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

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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