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PseudoTwin Primes

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  • Sebastian Martin
    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 
    Message 1 of 1 , May 7 12:52 PM
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      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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