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the 13th Mills' prime (PRP)

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  • batalovs
    (((((((((((2^3+3)^3+30)^3+6)^3+80)^3+12)^3+450)^3+894)^3+3636)^3+70756)^3+97220)^3+66768)^3+300840, a 185052 digit PRP, is the 13th Mills prime. A
    Message 1 of 2 , Jul 19, 2013
      (((((((((((2^3+3)^3+30)^3+6)^3+80)^3+12)^3+450)^3+894)^3+3636)^3+70756)^3+97220)^3+66768)^3+300840, a 185052 digit PRP, is the 13th Mills' prime.

      A double-check using PFGW with a different PRP base is in progress - to ensure that there were no missed primes.

      Extending the Chris K. Caldwell and Yuanyou Cheng, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL8/Caldwell/caldwell78.html">Determining Mills' Constant and a Note on Honaker's Problem</a>, Journal of Integer Sequences, Vol. 8 (2005), Article 05.4.1, the Mills' constant value could be determined with more precision.

      -Serge Batalov
    • djbroadhurst
      ... Congrats, Serge, on your fine probable prime, for Henri. ... is the 13th Mills prime. Not proven to be so, nor likely to be proven so, for a long time, as
      Message 2 of 2 , Jul 19, 2013
        --- In primenumbers@yahoogroups.com,
        "batalovs" <batalovs@...> wrote:

        > (((((((((((2^3+3)^3+30)^3+6)^3+80)^3+12)^3+450)^3+894)^3+3636)^3+70756)^3+97220)^3+66768)^3+300840, a 185052 digit PRP

        Congrats, Serge, on your fine probable prime, for Henri.

        ... is the 13th Mills' prime.

        Not proven to be so, nor likely to be proven so,
        for a long time, as you fully know.

        Best regards

        David
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