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Are Riemann hypothesis and Goldbach conjecture related?

  1. Aug 24, 2005 #1
    this is a question i have i mean are RH and Goldbach conjecture related? i mean in the sense that proving RH would imply Goldbach conjecture and viceversa:

    RIemann hypothesis: (RH)

    [tex]\zeta(s)=0 [/tex] then [tex]s=1/2+it [/tex]

    Goldbach conjecture,let be n a positive integer then:

    [tex]2n=p1+p2 [/tex] , [tex]2n+1=p3+p4+p5 [/tex]

    with p1,p2,p3,p4 and p5 prime numbers...

    Another question is there a generating function for the number of ways a natural number can be split into a sum of r-primes?....
    this would be interesting because if existed with r=2 and r=3 it would aid to prove Goldbach conjecture..
     
  2. jcsd
  3. Aug 24, 2005 #2
    an additional question, would proving the RH also prove that there are infinitely many twin primes
     
  4. Aug 24, 2005 #3
    As of now i don't think there is any result linking both together but you can always try.
    good luck.
     
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