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Re: The largest Mersenne number known as beeing composite!

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  • Jean PennĂ©
    ... I don t know if there is an official definition for Mersenne numbers... As Paulo Ribenboim and many others, I use to call so 2^p-1 numbers with p prime.
    Message 1 of 3 , Dec 30, 2005
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      --- In primenumbers@yahoogroups.com, "Nathan Russell"
      <windrunner@g...> wrote:

      > As someone (Brian Beesley?) once remarked, we want to be careful about
      > how we define such things. The largest Mersenne composite with prime
      > exponent is an interesting record. Likewise, the largest
      > double-checked LL test result (which is most likely smaller).
      > However, the "largest Mersenne composite" is not. For example, since
      > Graham's number is composite, 2^(Graham's number)-1 is likewise
      > composite.
      >
      > Nathan
      >

      I don't know if there is an "official" definition for Mersenne numbers...
      As Paulo Ribenboim and many others, I use to call so 2^p-1 numbers
      with p prime. In spite of his errors, I think that Marin Mersenne
      never searched for primes amongst 2^n-1 numbers with composite exponents !

      Jean
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