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Re: [PrimeNumbers] Interpreting Another Prime Puzzle

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  • mikeoakes2@aol.com
    In a message dated 01/02/03 07:01:00 GMT Standard Time, ... So 10^1+9933 (= 9943 =61*163) is a PRP? Mike [Non-text portions of this message have been removed]
    Message 1 of 5 , Feb 1, 2003
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      In a message dated 01/02/03 07:01:00 GMT Standard Time,
      miltbrown@... writes:


      > PPR of the form 10^x+y
      > x y x y
      > =========== =========
      > 1 9933 16 38353
      >

      So 10^1+9933 (= 9943 =61*163) is a PRP?

      Mike


      [Non-text portions of this message have been removed]
    • Phil Carmody
      ... Mike, GP first, conclusions second. (13:41) gp Mod(548,9943)^9942 %1 = Mod(1, 9943) (13:42) gp Mod(977,9943)^9942 %4 = Mod(1, 9943) In fact, (13:44) gp
      Message 2 of 5 , Feb 1, 2003
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        --- mikeoakes2@... wrote:
        > In a message dated 01/02/03 07:01:00 GMT Standard Time,
        > miltbrown@... writes:
        >
        >
        > > PPR of the form 10^x+y
        > > x y x y
        > > =========== =========
        > > 1 9933 16 38353
        > >
        >
        > So 10^1+9933 (= 9943 =61*163) is a PRP?

        Mike,

        GP first, conclusions second.

        (13:41) gp > Mod(548,9943)^9942
        %1 = Mod(1, 9943)

        (13:42) gp > Mod(977,9943)^9942
        %4 = Mod(1, 9943)


        In fact,
        (13:44) gp > Mod(548,9943)^(9942/2)
        %6 = Mod(9942, 9943)

        Therefore it's a _SPRP_ too.


        Phil


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      • Milton Brown
        Of course it should say: PRP of the form 10^(10000+x) + y Milton L. Brown miltbrown@earthlink.net ... From: Milton Brown [mailto:miltbrown@earthlink.net]
        Message 3 of 5 , Feb 1, 2003
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          Of course it should say:

          PRP of the form 10^(10000+x) + y

          Milton L. Brown
          miltbrown@...


          -----Original Message-----
          From: Milton Brown [mailto:miltbrown@...]
          Sent: Friday, January 31, 2003 6:24 PM
          To: primenumbers@yahoogroups.com
          Cc: miltbrown@...
          Subject: [PrimeNumbers] Interpreting Another Prime Puzzle

          Corresponding to my posting of January 13, the following PRP's,
          from my list may help you see the patterns and discover the
          meaning:

          PPR of the form 10^x+y
          x y x y
          =========== =========
          1 9933 16 38353
          2 7341 17 26371
          3 63091 18 3631
          4 28333 19 20007
          5 13629 20 46291

          6 4659 21 3663
          7 9001 22 52783
          8 3909 23 58333
          9 49521 24 15679
          10 59689 25 105417

          11 55971 26 12379
          12 170781
          13 29247
          14 25291
          15 116961

          What does the following 50 digit prime number represent:

          98199 63091 11696 12833 31362 \
          94629 15833 31169 61981 99927


          If you need additional discussion, you may contact me
          on or off-list.

          Milton L. Brown
          miltbrown@...



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



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        • Milton Brown
          The 50 digit prime was 98199 63091 11696 12833 31362 94629 15833 31169 61981 99927 The PRP s of the form 10^(10000+x) + y, (smallest y) transform x :: 1 to
          Message 4 of 5 , Feb 8, 2003
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            The 50 digit prime was

            98199 63091 11696 12833 31362 \
            94629 15833 31169 61981 99927

            The PRP's of the form 10^(10000+x) + y, (smallest y)
            transform x :: 1 to 26 corresponding to A to Z
            into y which are all unique. This allows English
            words to be encoded as patterns in the prime.
            To decode the message you must recognize the patterns
            and reverse the process. These variable length encodings
            also make it more difficult. This corresponds to a
            "trap-door" function which is easy to do, but hard
            to reverse.

            The letter C or 3 corresponds to 63091, and so the message
            can be decoded.

            Milton L. Brown
            miltbrown@...

            -----Original Message-----
            From: Milton Brown [mailto:miltbrown@...]
            Sent: Friday, January 31, 2003 6:24 PM
            To: primenumbers@yahoogroups.com
            Cc: miltbrown@...
            Subject: [PrimeNumbers] Interpreting Another Prime Puzzle

            Corresponding to my posting of January 13, the following PRP's,
            from my list may help you see the patterns and discover the
            meaning:

            PPR of the form 10^(10000+x) + y
            x y x y
            =========== ==================
            1 9933 16 38353
            2 7341 17 26371
            3 63091 18 3631
            4 28333 19 20007
            5 13629 20 46291

            6 4659 21 3663
            7 9001 22 52783
            8 3909 23 58333
            9 49521 24 15679
            10 59689 25 105417

            11 55971 26 12379
            12 170781
            13 29247
            14 25291
            15 116961

            What does the following 50 digit prime number represent:

            98199 63091 11696 12833 31362 \
            94629 15833 31169 61981 99927


            If you need additional discussion, you may contact me
            on or off-list.

            Milton L. Brown
            miltbrown@...



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



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