Results 1 to 7 of 7

Math Help - Number Theory

  1. #1
    Junior Member
    Joined
    Apr 2008
    From
    Gainesville
    Posts
    68

    Number Theory

    disprove that there are infinitely many primes numbers p for which p+2 and p+4 are also prime numbers.
    Last edited by JCIR; July 9th 2008 at 02:21 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by JCIR View Post
    Prove that there are infinitely many primes numbers p for which p+2 and p+4 are also prime numbers.
    I think you mean: p,p+2,p+6.
    If we cannot solve the rwin prime conjecture how can be possibly solve this?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member JaneBennet's Avatar
    Joined
    Dec 2007
    Posts
    293
    Quote Originally Posted by JCIR View Post
    Prove that there are infinitely many primes numbers p for which p+2 and p+4 are also prime numbers.
    Are there? I don’t think so. p=3 is the only prime satisfying that condition. For all other primes, either p+2 or p+4 is a multiple of 3 strictly greater than 3 and therefore cannot be prime.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member Matt Westwood's Avatar
    Joined
    Jul 2008
    From
    Reading, UK
    Posts
    732
    Probably worth pointing out that the original question was:

    "DISprove that there are infinitely many primes numbers p for which p+2 and p+4 are also prime numbers"

    NOT "Prove".
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by Matt Westwood View Post
    Probably worth pointing out that the original question was:

    "DISprove that there are infinitely many primes numbers p for which p+2 and p+4 are also prime numbers"

    NOT "Prove".
    That is because he edited his post. Look at what I quoted.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Junior Member
    Joined
    Apr 2008
    From
    Gainesville
    Posts
    68
    Sorry I did not mention I edit it
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Super Member Matt Westwood's Avatar
    Joined
    Jul 2008
    From
    Reading, UK
    Posts
    732
    Bah. Makes all the difference, that does.

    RTFQ as my teacher used to say ...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Textbooks on Galois Theory and Algebraic Number Theory
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: July 8th 2011, 06:09 PM
  2. Number Theory
    Posted in the Number Theory Forum
    Replies: 3
    Last Post: May 19th 2010, 07:51 PM
  3. Number Theory
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: February 16th 2010, 05:05 PM
  4. Replies: 2
    Last Post: December 18th 2008, 05:28 PM
  5. Number theory, prime number
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: September 17th 2006, 08:11 PM

Search Tags


/mathhelpforum @mathhelpforum