Quote:
Originally Posted by VBCurtis
False- if you know TF was done to 82 bits, you know to not bother with ECM at the 20-digit level, nor at the 25-digit level. Skip right to T30 (B1=25e4).
Similar conclusions can be made about TF to, say, 79 bits- that rules out factors under 24 digits, so I would run less of a T25 and jump to T30-sized curves sooner. In B1 terms, less than a full set of curves at 5e4 and jump to B1=25e4 sooner.
However, it's rather unlikely to have a candidate number that one would TF to 78+ bits *and* consider ECM on. For the size of number for which we ECM, trial-factoring limits are usually 74 bits or lower and starting at B1=5e4 makes sense. So, in practice for GIMPS-factoring, TF doesn't influence our ECM choices.
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That's exactly what I mean, although your words are clearer.
2020-08-09, 07:10
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