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RE: [PrimeNumbers] Re: Twin Primes Waffle

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  • Jon Perry
    ... Yes I did. Jon Perry perry@globalnet.co.uk http://www.users.globalnet.co.uk/~perry/maths BrainBench MVP for HTML and JavaScript http://www.brainbench.com
    Message 1 of 3 , Apr 17, 2002
      >Well, 10 is representable as kp+10 when k=0 and p=59 or p=61 but I
      >guess you mean for k>0.

      Yes I did.

      Jon Perry
      perry@...
      http://www.users.globalnet.co.uk/~perry/maths
      BrainBench MVP for HTML and JavaScript
      http://www.brainbench.com


      -----Original Message-----
      From: richard_heylen [mailto:richard_heylen@...]
      Sent: 17 April 2002 00:01
      To: primenumbers@yahoogroups.com
      Subject: [PrimeNumbers] Re: Twin Primes Waffle


      --- In primenumbers@y..., "Jon Perry" <perry@g...> wrote:
      > Can anyone prove that only using all the primes 5 and above, there
      are an
      > infinite number of integers not representable by:
      >
      > kp+/-j, where j is such that p=6j+/-1.
      >
      > e.g. 10 is not 5k+/-1, or 7k+/-1, or 11k+/-2 or 13k+/-2
      >
      > whereas 9 is both 5-1 and 11-2.
      >
      > 10 not being present implies that 59 and 61 are twin primes.

      Well, 10 is representable as kp+10 when k=0 and p=59 or p=61 but I
      guess you mean for k>0.
      As for whether there are an infinite number of non-representable
      integers, it is indeed equivalent to the twin primes conjecture as
      you suggest.

      Richard





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