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Old 2016-09-01, 12:54   #89
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Sep 2003

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Originally Posted by xilman View Post
The work curve has a very flat minimum. It doesn't matter very much whether you run more curves at a lower B1 or fewer at a higher one, as long as you don't push it too far. To an excellent approximation, the product B1*#curves is the figure of merit.
Does the above apply only to stage one?

What about the B2 bound?

For P−1, I think it normally doesn't find factors beyond the bound B2, unless exceptionally by Brent-Suyama extension.

Does ECM routinely find factors beyond the B2 bound? What is the effect of increasing the B2 bound, does it merely increase the probability of finding a factor within the B2 bound?
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