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Consecutive Prime Numbers Equation

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  • Sebastian Martin
    Hello all I  have obtained the following Equation for consecutive prime numbers:   Theorem:   Let:  
    Message 1 of 1 , Aug 9, 2008
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      Hello all
      I  have obtained the following Equation for consecutive prime numbers:
       
      Theorem:
       
      Let:
       
      F[x_,n_]:=LCM[x-Prime[n],x+Prime[n]]*GCD[x,Product[Prime[i],{i,1,n}]]-(x-Prime[n])*(x+Prime[n])/2
       
      Let
       
      Sn={x positive integer: F[x,n]=0}
       
      We have
       
      Min Sn=Prime[n+1]
       
      Sincerely
       
      Sebastián Martín Ruiz


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