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4214Fw: [PrimeNumbers] A goldbach conjecture for twin primes

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  • Harvey Dubner
    Nov 30, 2001
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      Michael is correct saying that this conjecture implies both the Goldbach
      conjecture and the twin prime conjecture. That is why I have no intention
      of trying to prove it. I have verified it up to 2*10^10. A paper , "Twin
      Prime Conjectures" is going to be published in
      the Journal of Recreational Mathematics which might be of interest. I will
      be happy to send a preprint to anyone who asks.

      Please specify if you want dvi or pdf file.

      Harvey Dubner

      ----- Original Message -----
      From: MICHAEL HARTLEY <Michael.Hartley@...>

      > > There has been so much discussion about the Goldbach conjecture and also
      > > about twin primes that I can't resist adding a conjecture which sort of
      > > combines them.
      > >
      > > Define a t-prime to be a prime which has a twin.
      > >
      > > Conjecture: Every sufficiently large even number is the sum of two
      > > t-primes.
      > 1)
      > Couldn't this conjecture be extended to any constellation?
      > 2)
      > It seems your conjecture implies both the twin prime conjecture
      > and the goldbach conjecture.
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