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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