Loading ...
Sorry, an error occurred while loading the content.

New Conjecture on Twin Primes (stronger than Goldbach's)...

Expand Messages
  • Gert Bohn
    Hello to each of the primenumbers community ! ... and it is also stronger than There are infinitely many prime twins . This mail list does not allow attached
    Message 1 of 2 , Apr 7, 2001
    • 0 Attachment
      Hello to each of the primenumbers community !

      ... and it is also stronger than "There are infinitely many prime twins".

      This mail list does not allow attached files, so i will only cite from the paper's abstract.

      The complete paper (electronic, 55KB, five pages to print)

      can be obtained from me via email to gbohn@....

      ( Dick Boland, i sent it to you already, so this is not new to you )



      Regards,

      Gert



      From the abstract:

      Christian Goldbach's conjecture that every even number is the sum of some prime numbers

      gave rise to the question what would be the matter if we replaced "prime numbers" by

      "prime twins" i.e. such prime numbers p where p + 2 or p - 2 is also prime.

      The question was looked at by computer programmes, and ...

      ...the following conjectures resulted:

      (1.1) Only a finite set E of even numbers are NOT the sum of prime twins.

      (1.2) The members of E are all the differences of some prime twins.

      (1.3) The members of E are all the sums of some prime numbers.




      [Non-text portions of this message have been removed]
    • Jon Perry
      WHat s so great about part 3: (1.3) The members of E are all the sums of some prime numbers. If you look at:
      Message 2 of 2 , Apr 7, 2001
      • 0 Attachment
        WHat's so great about part 3:

        (1.3) The members of E are all the sums of some prime numbers.

        If you look at:

        http://www.utm.edu/research/primes/notes/conjectures/

        you will find:


        It has been proven that every even integer is the sum of at most six primes
        [Ramaré95](Goldbach suggests two) and in 1966 Chen proved every sufficiently
        large even integers is the sum of a prime plus a number with no more than
        two prime factors (a P2). In 1993

        Any estimation on the size of E?

        Jon Perry
        perry@...
        http://www.users.globalnet.co.uk/~perry
        Brainbench 'Most Valuable Professional' for HTML
        Brainbench 'Most Valuable Professional' for JavaScript
        http://www.brainbench.com
        Object-Oriented Links at Cetus
        http://www.cetus-links.org
        Subscribe to Delphiadvanced:
        http://groups.yahoo.com/group/Delphiadvanced

        -----Original Message-----
        From: Gert Bohn [mailto:gbohn@...]
        Sent: 07 April 2001 11:20
        To: Primenumbers Forum
        Subject: [PrimeNumbers] New Conjecture on Twin Primes (stronger than
        Goldbach's)...


        Hello to each of the primenumbers community !

        ... and it is also stronger than "There are infinitely many prime twins".

        This mail list does not allow attached files, so i will only cite from the
        paper's abstract.

        The complete paper (electronic, 55KB, five pages to print)

        can be obtained from me via email to gbohn@....

        ( Dick Boland, i sent it to you already, so this is not new to you )



        Regards,

        Gert



        From the abstract:

        Christian Goldbach's conjecture that every even number is the sum of some
        prime numbers

        gave rise to the question what would be the matter if we replaced "prime
        numbers" by

        "prime twins" i.e. such prime numbers p where p + 2 or p - 2 is also prime.

        The question was looked at by computer programmes, and ...

        ...the following conjectures resulted:

        (1.1) Only a finite set E of even numbers are NOT the sum of prime twins.

        (1.2) The members of E are all the differences of some prime twins.

        (1.3) The members of E are all the sums of some prime numbers.




        [Non-text portions of this message have been removed]


        Unsubscribe by an email to: primenumbers-unsubscribe@egroups.com
        The Prime Pages : http://www.primepages.org



        Your use of Yahoo! Groups is subject to http://docs.yahoo.com/info/terms/
      Your message has been successfully submitted and would be delivered to recipients shortly.