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Math Help - Number Theory

  1. #1
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    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.
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  2. #2
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    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?
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  3. #3
    Senior Member JaneBennet's Avatar
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    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.
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  4. #4
    Super Member Matt Westwood's Avatar
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    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".
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  5. #5
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    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.
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  6. #6
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    Sorry I did not mention I edit it
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  7. #7
    Super Member Matt Westwood's Avatar
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    Bah. Makes all the difference, that does.

    RTFQ as my teacher used to say ...
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