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Re: A PRP of the form 2*k*p +1

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  • djbroadhurst
    ... according to OpenPFGW (2*(10^100000+50617)+1)/(5*36263*376504523) has no small factor. David
    Message 1 of 9 , Sep 1, 2011
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      --- In primenumbers@yahoogroups.com,
      Maximilian Hasler <maximilian.hasler@...> wrote:

      > according to PARI, divisors < 5e5 are:
      > 5,36263 for 2*(10^100000+50617) + 1

      according to OpenPFGW
      (2*(10^100000+50617)+1)/(5*36263*376504523) has no small factor.

      David
    • djbroadhurst
      ... It appears so: 2*(10^100000+50617)*333019+1 is 3-PRP! (1146.4749s+0.0010s) and hence may be Henrified. David
      Message 2 of 9 , Sep 1, 2011
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        --- In primenumbers@yahoogroups.com,
        "djbroadhurst" <d.broadhurst@...> wrote:

        > Perhaps Peter meant to write something like
        > 2*(10^100000+50617)*333019 + 1

        It appears so:

        2*(10^100000+50617)*333019+1 is 3-PRP! (1146.4749s+0.0010s)

        and hence may be Henrified.

        David
      • Peter Lesala
        Really sorry for the clumsy mistake. I m indeed testing 2*k*p +1, and p=333019 is missing in the previous message. For interest s sake I found some two smaller
        Message 3 of 9 , Sep 2, 2011
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          Really sorry for the clumsy mistake. I'm indeed testing 2*k*p +1, and p=333019 is missing in the previous message. For interest's sake I found some two smaller PRPs before this one; i.e.

          (1) 2*(10^10000+36107)*333019+1 is probable prime! (verification : a = 36761) (digits:10006)

          (2) 2*(10^10000+49931)*333019+1 is probable prime! (verification : a = 36761) (digits:10006)

          and then lately

          (3) 2*(10^100000+50617)*333019+1 is probable prime! (verification : a = 42349) (digits:100006)

          Thanks to David for the verification.

          Peter.

          ----- Original Message -----
          From: Peter Lesala
          To: primenumbers@yahoogroups.com ; Peter Lesala
          Sent: Thursday, September 01, 2011 12:22 PM
          Subject: [PrimeNumbers] A PRP of the form 2*k*p +1



          Keen to find prime factors of 2^333019 - 1, I went on to test 2*k*p + 1 for k = 10^100000. The test gives

          2*(10^100000 + 50617) + 1 as a probable prime of 100006 digits; using Primeform.

          Peter.

          [Non-text portions of this message have been removed]

          [Non-text portions of this message have been removed]





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        • djbroadhurst
          ... Might you tell us, please, Peter, why you chose to study this particular Mersenne exponent? ... Monna ya fetolang mmala ka nako le nako? Best regards David
          Message 4 of 9 , Sep 2, 2011
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            --- In primenumbers@yahoogroups.com,
            "Peter Lesala" <plesala@...> wrote:

            > Keen to find prime factors of 2^333019 - 1

            Might you tell us, please, Peter, why you chose
            to study this particular Mersenne exponent?

            > p=333019 is missing in the previous message

            Monna ya fetolang mmala ka nako le nako?

            Best regards

            David
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