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Re: AP4

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  • djbroadhurst
    The primes 4103163*2^45007-183009063*2^25003-1 is prime! (36.7389s+0.0027s) 1367721*2^45008-183009063*2^25002-1 is prime! (37.0663s+0.0046s) 1367721*2^45007-1
    Message 1 of 37 , Jun 3, 2010
      The primes

      4103163*2^45007-183009063*2^25003-1 is prime! (36.7389s+0.0027s)
      1367721*2^45008-183009063*2^25002-1 is prime! (37.0663s+0.0046s)
      1367721*2^45007-1 is prime! (10.4775s+0.0041s)
      183009063*2^25002-1 is prime! (2.7422s+0.0026s)

      form an AP4 with 13556, 13555, 13555 and 7535 decimal digits.

      As in the previous cases of AP4s with these largest members
      545510007*2^40000-464049135*2^25002-1 12050 p199 2010
      522129915*2^40000-337917945*2^25002-1 12050 p199 2010
      497132829*2^40000-222139713*2^25001-1 12050 p199 2010
      I exploited a database of more than 10^5 25-kbit primes.

      In the present case, an AP4 was found using less than 3%
      of the estimated Poisson mean dose of 45-kbit primes.

      David Broadhurst, 3 June 2010
    • djbroadhurst
      ... After deep sieving I have (100 +/- sqrt(100)) percent faith in Poisson. In this case my sieve was crude, so I give myself 3 standard deviations and profess
      Message 37 of 37 , Jun 13, 2010
        --- In primeform@yahoogroups.com,
        "kraDen" <kradenken@...> asked:

        > Do you have 100% faith in the theory/Poisson?

        After deep sieving I have (100 +/- sqrt(100)) percent
        faith in Poisson.

        In this case my sieve was crude, so I give myself
        3 standard deviations and profess 70% faith.

        David :-)
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