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Re: [PrimeNumbers] even larger gen Woodall record

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  • Mark Rodenkirch
    I am humbled by this new record... Congratulations. BTW, please do the PRP testing on your remaining candidates, you never know if there is another 100,000
    Message 1 of 2 , Oct 1, 2003
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      I am humbled by this new record...

      Congratulations.

      BTW, please do the PRP testing on your remaining candidates, you never
      know if there is another 100,000 digit prime waiting to be found.

      --Mark

      On Tuesday, September 30, 2003, at 11:35 PM, yummie_55555 wrote:

      > 83660*72^83660-1 is the worlds largest known generalized woodall prime
      > that is not base 2.
      > at 155,390 digits it is over 30,000 digits larger than the 'old'
      > record that was announced only one week ago.
      >
      > i proved it prime with proth 7.1, cause it is a bit faster on my
      > machines than the newest pfgw. for sieving i used the excellent
      > multisive.exe.
      > the search took approx two month on my 2400+ and my 1800+ athlon.
      >
      > long time ago when the searchlimit was way below 60,000 i used two
      > dumb formulas (based on the last known primes of form n*72^n-1) to
      > tell me where to find the next prime of the given form. the fist said
      > at n=87,684 the second said n=84,924. not bad, as you can see now.
      > if i only believed in the formulas i would have found it earlier. but
      > i didn't, and pushed up the search limit instead.
      > also i noticed: the three largest known n making n*72^n-1 prime
      > (n=23560,n=48820, and now n=83660) are all n=0 (mod 10).
      >
      > there remain 900+ untested candidates below 83,660. but maybe i use my
      > dumb formulas again to predict the next larger gen woodall and then
      > prp all candidates that are n=0 (mod 10) in a range around that point.
      > :-)
      >
      > thomas wolter

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