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

6-Tuplets

Expand Messages
  • Werner D. Sand
    Hi, is there a prime 6-tuplet greater than 5...19 (length=14)? Werner
    Message 1 of 2 , Mar 10, 2008
    View Source
    • 0 Attachment
      Hi,
      is there a prime 6-tuplet greater than 5...19 (length=14)?
      Werner
    • Jens Kruse Andersen
      ... No. Any 6-tuple of length 14 will have at least one number which is divisible by 2, 3 or 5. See http://anthony.d.forbes.googlepages.com/ktpatt.txt and
      Message 2 of 2 , Mar 10, 2008
      View Source
      • 0 Attachment
        Werner D. Sand wrote:
        > is there a prime 6-tuplet greater than 5...19 (length=14)?

        No. Any 6-tuple of length 14 will have at least one
        number which is divisible by 2, 3 or 5.
        See http://anthony.d.forbes.googlepages.com/ktpatt.txt
        and http://www.opertech.com/primes/k-tuples.html
        for the densest admissible k-tuple patterns.
        "Prime 6-tuplet" often refers to 6 primes in the densest
        admissible pattern. The largest known are at
        http://anthony.d.forbes.googlepages.com/ktuplets.htm
        (5, 7, 11, 13, 17, 19) is inadmissible because all 5 values
        modulo 5 are present.

        --
        Jens Kruse Andersen
      Your message has been successfully submitted and would be delivered to recipients shortly.