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New Record for 7 simultaneous primes

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  • Dirk Augustin
    Hello Group! After sieving through roughly 1.5 trillion candidates between 281 and 302 digits and about 150 million prp tests I discovered yesterday a new
    Message 1 of 6 , Jul 1, 2008
      Hello Group!

      After sieving through roughly 1.5 trillion candidates between 281 and
      302 digits and about 150 million prp tests I discovered yesterday a
      new record Cunninham chain of length 7 which is also a new record for
      7 simultaneous primes:

      1178137903623*2^0*661#-1, 291 digits,
      1178137903623*2^1*661#-1, 291 digits,
      1178137903623*2^2*661#-1, 291 digits,
      1178137903623*2^3*661#-1, 292 digits,
      1178137903623*2^4*661#-1, 292 digits,
      1178137903623*2^5*661#-1, 292 digits,
      1178137903623*2^6*661#-1, 292 digits.

      It improves the CC7 record by 40 digits and the record for 7
      simultaneous primes by 10 digits.

      Sieving was done with NewPGen, prp and prime testing with pfgw.

      Regards,
      Dirk Augustin
    • Norman Luhn
      Congratulations to you , Dirk ! ..... Norman Auch wenn ich leider nie eine Antwort bekommen habe ! ... Von: Dirk Augustin Betreff:
      Message 2 of 6 , Jul 1, 2008
        Congratulations to you , Dirk !

        .....
        Norman

        Auch wenn ich leider nie eine Antwort bekommen habe !

        --- Dirk Augustin <dirk.augustin@...> schrieb am Di, 1.7.2008:
        Von: Dirk Augustin <dirk.augustin@...>
        Betreff: [primeform] New Record for 7 simultaneous primes
        An: primeform@yahoogroups.com
        Datum: Dienstag, 1. Juli 2008, 21:10











        Hello Group!



        After sieving through roughly 1.5 trillion candidates between 281 and

        302 digits and about 150 million prp tests I discovered yesterday a

        new record Cunninham chain of length 7 which is also a new record for

        7 simultaneous primes:



        1178137903623* 2^0*661#- 1, 291 digits,

        1178137903623* 2^1*661#- 1, 291 digits,

        1178137903623* 2^2*661#- 1, 291 digits,

        1178137903623* 2^3*661#- 1, 292 digits,

        1178137903623* 2^4*661#- 1, 292 digits,

        1178137903623* 2^5*661#- 1, 292 digits,

        1178137903623* 2^6*661#- 1, 292 digits.



        It improves the CC7 record by 40 digits and the record for 7

        simultaneous primes by 10 digits.



        Sieving was done with NewPGen, prp and prime testing with pfgw.



        Regards,

        Dirk Augustin



























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      • Jens Kruse Andersen
        ... Congratulations! http://hjem.get2net.dk/jka/math/simultprime.htm is updated. http://hjem.get2net.dk/jka/math/Cunningham_Chain_records.htm isn t, but you
        Message 3 of 6 , Jul 1, 2008
          Dirk Augustin wrote:
          > 1178137903623*2^0*661#-1, 291 digits,
          ...
          > 1178137903623*2^6*661#-1, 292 digits.
          >
          > It improves the CC7 record by 40 digits and the record for 7
          > simultaneous primes by 10 digits.

          Congratulations!
          http://hjem.get2net.dk/jka/math/simultprime.htm is updated.
          http://hjem.get2net.dk/jka/math/Cunningham_Chain_records.htm isn't,
          but you know that ;-)

          --
          Jens Kruse Andersen
        • Dirk Augustin
          ... I just checked my membership details here and there was still my old e- mail adress from Vodafone which I cannot read anymore since about 8 months because
          Message 4 of 6 , Jul 2, 2008
            --- In primeform@yahoogroups.com, Norman Luhn <nluhn@...> wrote:
            >
            > Congratulations to you , Dirk !
            >
            > .....
            > Norman
            >
            > Auch wenn ich leider nie eine Antwort bekommen habe !
            >

            I just checked my membership details here and there was still my old e-
            mail adress from Vodafone which I cannot read anymore since about 8
            months because I have changed the company.

            Please send your mail once again to dirk.augustin@...
          • trex400
            Hi all, today I discovered a really huge CC7 of the first kind: 162597166369*827#-1 is the start of a CC7 with 356 digits. It improves the previous CC7 record
            Message 5 of 6 , Jul 17, 2010
              Hi all,
              today I discovered a really huge CC7 of the first kind:

              162597166369*827#-1 is the start of a CC7 with 356 digits.

              It improves the previous CC7 record by 65 digits.

              In addition it improves the record for 7 simultaneous primes by 56 digits.

              Programs used: NewPGen and pfgw.

              Regards,
              Dirk Augustin
            • Jens Kruse Andersen
              ... Congratulations! http://users.cybercity.dk/~dsl522332/math/simultprime.htm and http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm are
              Message 6 of 6 , Jul 17, 2010
                Dirk Augustin wrote:
                > 162597166369*827#-1 is the start of a CC7 with 356 digits.
                >
                > It improves the previous CC7 record by 65 digits.
                >
                > In addition it improves the record for 7 simultaneous primes by 56 digits.

                Congratulations!
                http://users.cybercity.dk/~dsl522332/math/simultprime.htm and
                http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm
                are updated.

                --
                Jens Kruse Andersen
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