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2049^2-1 factors

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  • Kevin
    I was messing around with a homebrew (and offbeat) factoring method which popped up a couple of factors for 2^2049-1. I ve checked factoredM.txt and they
    Message 1 of 2 , Aug 2, 2006
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      I was messing around with a homebrew (and offbeat) factoring method
      which popped up a couple of factors for 2^2049-1. I've checked
      factoredM.txt and they aren't in there so I was wondering are they
      known and if not where to submit them.

      The two factors are:

      43483649911260969479572395841704886129976814428344266240209592218046281
      2746769

      and

      67513796971703570854592232797421324116119881147340327278928245456644619
      398078155616494185719845536064262986241999463764460809

      Kevin.
    • Jens Kruse Andersen
      ... In http://www.garlic.com/~wedgingt/factoredM.txt at M( 683 ) (683 divides 2049). ... In lowM.txt at M( 2049 ). My lowM.txt is from February 2005 but I
      Message 2 of 2 , Aug 2, 2006
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        Kevin wrote:
        > I was messing around with a homebrew (and offbeat) factoring method
        > which popped up a couple of factors for 2^2049-1. I've checked
        > factoredM.txt and they aren't in there so I was wondering are they
        > known and if not where to submit them.

        > 43483649911260969479572395841704886129976814428344266240209592218046281
        > 2746769

        In http://www.garlic.com/~wedgingt/factoredM.txt at M( 683 )
        (683 divides 2049).

        > 67513796971703570854592232797421324116119881147340327278928245456644619
        > 398078155616494185719845536064262986241999463764460809

        In lowM.txt at M( 2049 ).
        My lowM.txt is from February 2005 but I assume the factor is still there.
        factoredM.txt is only for completely factored Mersennes.
        I think it omits the largest factor.

        By the way, you can search numbers in Google which knows both factors.

        --
        Jens Kruse Andersen
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