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Old 2011-02-21, 14:33   #6
bdodson
 
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Jun 2005
lehigh.edu

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Quote:
Originally Posted by Batalov View Post
A hole in one. Now, this is not a futile factor. :-)

Congratulations!
Here's the group order:

Code:
Magma V2.16-4     Mon Feb 21 2011 09:16:48 on altair1  [Seed =3370645033]

[ <2, 2>, <3, 2>, <7, 2>, <11, 2>, <53, 1>, <353, 1>, <467, 1>, <779591,1>,
<1057367, 1>, <15751453, 1>, <40771103, 1>, <43303219, 1>, <356236847,1>,
<31186368729239, 1> ]
So that's p = 356236847 < 400M = B1 for the step1 prime,
q = 31186368729239 > 1.59e13 = B2 for the step2. Ooops. If it matters,
this ran with k = 20. Sounds like this really used some GMP-ECM features;
and I was more than just lucky with the parameters!

Bruce (This is the new p69 by ecm, from 2,1822L C197.)
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