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Old 2021-07-20, 17:42   #14
charybdis's Avatar
Apr 2020

10001000112 Posts

Originally Posted by bur View Post
SNFS-179 number 1281979*2^594+1 with polynomial 1281979*2^4*(2^118)^5+1 has an E-score of 3.365E-11 while the SNFS-175 number 1281979*2^580+1 yields an E-score of 5.747E-11. I am not sure how strongly that affects sieving times, but the former E-score is 42% lower, so it might be quite significant?
The E-score is supposed to be directly proportional to yield for a fixed set of parameters, so you'd expect the number with the lower score here to take about 70% longer if the parameters remain the same. You can reduce that 70% figure a bit by using slightly different parameters for the two jobs, but this E-score ratio is consistent with a 3-4 digit increase in GNFS equivalent difficulty.
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