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Old 2014-10-09, 04:41   #1
Dubslow
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"Bunslow the Bold"
Jun 2011
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Default Lucky ECM hit

Running aliquot sequence 78816 and found this lucky ECM hit:

Code:
10/08/14 23:30:12 v1.34.5 @ Gravemind, current ECM pretesting depth: 30.46
10/08/14 23:30:12 v1.34.5 @ Gravemind, scheduled 904 curves at B1=1000000 toward target pretesting depth of 35.69
10/08/14 23:31:12 v1.34.5 @ Gravemind, prp39 = 397014779879110918974351728195016076189 (curve 8 stg2 B1=1000000 sigma=
2353567942 thread=1)
10/08/14 23:31:12 v1.34.5 @ Gravemind, Finished 56 curves using Lenstra ECM method on C116 input, B1=1M, B2=gmp-ecm de
fault
10/08/14 23:31:12 v1.34.5 @ Gravemind, final ECM pretested depth: 30.77
The penultimate factor of the group order is just over 1% from the B1 bound.

It's also lucky that I happened to be watching it at the time, or I wouldn't have noticed.

Last fiddled with by Dubslow on 2014-10-09 at 04:43
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Old 2014-10-19, 18:41   #2
legendarymudkip
 
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Jun 2014

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Code:
current ECM pretesting depth: 20.24
scheduled 214 curves at B1=50000 toward target pretesting depth of 25.85
prp31 = 2193059645364365637108057957697 (curve 56 stg2 B1=50000 sigma=3634287944 thread=0)
Finished 56 curves using Lenstra ECM method on C84 input, B1=50K, B2=gmp-ecm default
final ECM pretested depth: 21.55
A similar case on an aliquot sequence I was running.
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Old 2014-10-19, 18:58   #3
Batalov
 
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If you think 30-ish-digit hits are lucky, I don't know what you will call that one.
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Old 2014-10-19, 19:10   #4
legendarymudkip
 
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Lucky doesn't signify lottery chances
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