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 2003-09-27, 10:10 #1 GP2     Sep 2003 50248 Posts Exponents that haven't had a P-1 test done First column is Meg range (for instance, 6 = 6,000,000 - 6,999,999). Second column is the number of exponents in that range for which 2 matching LL tests were done with no P-1 factoring ever having been done for that exponent. Code:  0 0 1 0 2 15152 3 24580 4 18831 5 9243 6 4170 7 1916 8 1454 9 2754 10 140 11 23 12 8 13 6 14 2 15 8 16 3 17 2 18 3 19 1 How do we interpret these results? At low ranges (2M - 4M), there's a lot. That's because P-1 wasn't added to Prime95 until fairly recent versions, so old exponents got two LL double-checks done and that was all. At very low ranges (0M - 1M) however, the number drops to zero, because someone is systematically P-1 trial-factoring all those old small exponents and they've gotten up to about 2.4M. At higher ranges (5M - 8M) the numbers drop steadily because P-1 factoring got added to Prime95 and the chances are reasonable that at least one of the two computers involved had enough memory to do a P-1 test. Still, thousands of exponents never got a P-1 test done. Finally at the highest ranges (10M +) the numbers are low because most exponents simply haven't been double-checked yet. The leading edge of double-checking is currently sweeping past 10.2M. If every single exponent got a P-1 test before a second LL test was performed, those numbers would stay permanently low and a few dozen new factors would be found in each Meg range, assuming a 3% or so chance of finding a P-1 factor. I'm not sure why the count picks up sharply in the 9M range after steadily declining. Any ideas? Last fiddled with by GP2 on 2003-09-27 at 10:11