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User:Friend505/math prime numbers

From Wikipedia, the free encyclopedia

Smallest n≥1 such that (k×bn−1)/gcd(k−1,b−1) is (probable) prime

A generalization of the Riesel problem (the case b=2), these problems can be called "generalized Riesel 1st/2nd/3rd/4th/... problems base b"

All unknown terms are searched to n≥4096, if the search limit is >4096, then listed as ">N" if N (>4096) is the search limit of n, if the search limit is 4096, then listed as "NA"

k-values that are a multiple of base (b) and where (k−1)/gcd(k−1,b−1) is not prime will have the same prime as k / b

k
b
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
2 2 1 1 1 2 1 1 2 1 1 2 1 3 4 1 1 2 2 1 2 1 1 4 1 3 2 1 3 4 1 1 2 2 1 2 1 1 2 3 1 2 1 7 24 1 3 4 2 1 2 1 1 2 1 1 2 1 3 12 2 3 4 2 1 4 1 5 2 1 1 2 4 7 2552 1 1 2 2 1 4 3 1 2 1 5 6 1 23 4 1 1 2 3 3 2 1 1 4 1 1 10 8 3 4 2 1 10 2 9 2 2 1 8 1 1 2 1 11 12 1 1 2 2 3 2 1 25 6
3 3 1 2 1 1 1 2 1 1 1 22 2 1 1 2 1 3 1 4 1 1 2 2 1 1 2 4 1 1 1 2 3 21 1 2 1 3 1 4 2 1 10 2 1 1 1 2 2 1 1 2 2 1 4 6 1 3 1 4 1 3 2 2 1 1 1 4 4 1 3 46 2 1 3 2 1 3 1 8 1 3 3 2 1 1 1 30 1 3 1 2 2 1 1 4 2 3131 1 20 3 1 3 2 1 1 1 18 2 1 3 2 3 5 5 4 1 3 1 8972 1 1 2 102 3 5 9 2 1
4 full algebra factors 1 1 full algebra factors 1 1 2 1 full algebra factors 1 1 1 1 2 1 full algebra factors 1 1 2 1 1 1 2 2 full algebra factors 1 1 1 2 2 1 1 1 2 1 full algebra factors 2 1 12 1 1 1 2 12 1 1 2 1 full algebra factors 1 5 2 1 2 1 1 1 3 6 1 3 2 1 full algebra factors 2 1 1 1 2 2 1 2 1 1276 3 1 1 1 2 2 full algebra factors 1 1 4 1 3 1 3 2 1 17 1 2 6 1 1 3 2 2 full algebra factors 5 4 1 2 1 4553 5 1 16 1 1 1 4 2 2 1 1 1 6 1 full algebra factors 1 1 2 1 1 2 3
5 3 4 1 1 2 1 1 2 1 3 2 1 covering set 2 1 1 covering set 1 1 2 2 1 4 2 1 4 1 1 2 1 5 8 1 163 4 1 covering set 28 1 1 covering set 2 1 6 2 1 2 1 1 2 1 5 2 1 1 2 1 7 6 2 covering set 2 1 5 covering set 5 1 2 2 1 2 1 3 6 2 1 12 1 1 2 1 1 6 1 covering set 2058 2 1 covering set 1 1 26 18 5 2 1 5 18 2 1 2 1 1 12 1 3 6 2 covering set 2 1 3 covering set 1 3 32 30 17 2 1 1 2 1 1 4 3 1 4
6 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 2 1 1 2 1 1 2 1 1 1 1 1 1 2 2 1 4 1 1 1 4 1 1 1 1 2 1 4 1 3 1 1 1 6 2 1 5 1 1 1 1 6 2 1 1 1 1 2 10 1 3 1 3 1 1 2 1 1 2 1 1 1 8 1 1 1 1 2 2 4 1 49 1 1 1 2 2 1 1 1 2 2 1 6 2 1 1 1 1 1 4 5 1 1 2 1 1 10 2 1 3 2 4 1 4 1 1 3
7 5 1 2 3 1 1 4 4 1 1 2 1 3 1 2 1 1 2 4 1 1 2 2 1 1 1 2 2 1 3 18 1 3 1 2 1 1 2 4 2 5 1 4 1 1 1 2 2 3 1 2 4 7 3 2 3 1 2 32 1 1 1 2 1 1 1 2 2 1 1 6 1 127 5 8 3 1 2 424 2 1 1 6 1 5 1 2 3 1 2 2 1 19 5 8 2 1 2 104 1 1 4 20 1 1 3 2 7 1 1 2 26 3 1 256 1 1 4 8 1 3 1 4 3 5 1 4 2
8 full algebra factors 2 1 1 4 1 3 full algebra factors 1 1 18 3 1 covering set 1 1 2 2 1 2 1 3 2 1 1 2 full algebra factors 1 12 1 11 4 1 1 2 1 851 16 1 3 6 2 21 8 1 1 26 1 3 2 3 7 2 1 1 2 2 1 4 1 1 2 1 full algebra factors 2 3 3 6 3 3 6 4 389 2632 1 1 20 1 1 2 1 3 6 24 1 2 3 17 4 1 1 314 1 1 2 2 3 2 1 3 6 3 1 96 1 3 4 1 3 2 1 covering set 2 1 1 covering set 2 5 4 1 1 4 1 1 full algebra factors 5 139 2
9 full algebra factors 1 1 full algebra factors 1 1 1 1 full algebra factors 1 11 1 1 8 1 full algebra factors 1 3 2 1 1 1 1 8 full algebra factors 1 2 1 2 1 1 2 1 2 1 full algebra factors 1 3 2 1 covering set 5 1 4 1 3 1 1 covering set 1 1 1 536 2 3 1 2 1 2 5 1 1 1 full algebra factors 1 1 2 2 4 2 23 1 2 covering set 1 1 1 1 4 1 full algebra factors 4 1 2 1 1 15 2 8 1 1 1 7 12 2 1 1 1 10 full algebra factors 1 3 1 2 2 1 9 1 2 4 1 3 1 4 2 5 1 1 4486 2 covering set 1 51 6 1 7 1 1
10 2 1 1 1 2 1 1 1 1 1 1 5 1 1 1 1 2 1 2 1 2 1 1 1 1 3 1 1 4 2 1 28 2 1 1 1 1 1 1 14 1 1 2 1 1 5 16 1 1 1 1 1 3 2 1 5 1 1 15 1 3 1 2 1 12 1 1 4 2 1 1 1 2 1 2 8 1 3 1 3 1 2 1 1 1 1 2 1 33 2 1 1 1 1 3 10 4 90 3 17 1 1 2 1 1 1 1 2 136 8 1 1 1 2 1 5 2 1 4 4 483 9 1 2 1 1 9 1
11 17 2 2 1 covering set 1 covering set 2 5 1 16 1 1 2 2 3 covering set 1 covering set 4 1 1 6 1 1 6 16 1 covering set 3 covering set 18 1 1 8 1 3 2 22 1 covering set 1 covering set 2 3 1 2 2 1 20 2 1 covering set 1 covering set 4 1 5 6 1 1 26202 4 5 covering set 2 covering set 4 1 1 2 6 1 10 4 1 covering set 1 covering set 2 1 3 2 2 1 2 22 1 covering set 2 covering set 2 71 1 4 1 3 6 4 59 covering set 6 covering set 2 1 1 2 1 1 2 16 1 covering set 3 covering set 4 1 1 6 1 15 4 6 5 covering set 1 covering set 8
12 2 1 2 1 1 1 1 2 1 2 1 1 2 1 1 1 2 2 1 1 1 1 3 4 partial algebra factors 1 partial algebra factors 3 1 1 2 1 2 1 1 1 1 2 1 1 1 1 4 3 3 194 1 2 1 1 6 2 3 1 1 1 1 23 15 1 2 1 3 partial algebra factors 6 15 1 2 1 1 2 1 3 1 2 1 2 2 1 2 1 1 6 9 1 1 2 2 1 2 1 1 4 36 2 1 1 3 1 1 2 1 2 11 1 2 1 2 1 1 2 2 7 1 3 2 6 7 1 1 1 2 6 1 1 1 1 12
13 5 2 1 1 2 2 2 1 1 1 1 2 4 1 1 3 3 1 1 10 2 3 1 1 15 1 2 14 covering set 1 1 2 1 8 1 1 2 2 3 1 covering set 6 77 1 2 1 6 2 1 3 1 18 2 1 2 1 3 1 1 2 2 2 1 1 1 1 3 1 covering set 2 1 6 1 3 1 34 2 1 3 1 1 4 2 1 covering set 1 2 2 3 6 1 23 2 48 1 2 covering set 2 1 1 covering set 20 1 4 7 15 2 2 4 1 38 3 1 1 8 2 2 4 1 1 1 4 8 21 2 1 95 1
14 3 4 1 covering set 19698 1 1 2 partial algebra factors 1 covering set 1 1 2 2 1 2 1 covering set 2 1 1 2 2 1 covering set 1 3 2 1 1 2 1 covering set 4 1 3 140 2 1 covering set 1 1 2 2 1 708 3 covering set 14 3 1 4 4 1 covering set 1 1 12 1 1 4 1 covering set 2 1 1 2 2 19697 covering set 3 1 2 1 1 2 1 covering set 2 7 5 2 26 3 covering set 1 1 2 1 3 4 1 covering set 6 3 19 2 2 1 covering set 1 107 14 1 1 22 1 covering set 2 1 1 2 2 1 covering set 1 1 6 6 1 2 1 covering set 2 partial algebra factors 1 2
15 3 1 2 1 1 1 2 1 1 1 2 1 1 14 2 1 1 1 2 3 1 1 6 1 3 1 2 1 1 1 4 1 7 1 10 5 1 1 16 1 1 4 2 1 1 5 NA 1 1 1 2 2 1 1 84 1 1 2 2 2 1 1 716 1 1 5 2 1 3 1 10 3 1 1 18 2 1 1 2 14 1 1 2 1 7 1 2 1 33 2 4 1 5 1 2 1 1 3 6 1 1 3 2 1 1 1 2 1 5 2 2 3 3 1 64 2 1 3 4 1 1 2 4 4 1 1 6 4
16 full algebra factors 1 1 full algebra factors 1 1 1 1 full algebra factors 1 2 1 2 1 1 full algebra factors 1 3 1 2 1 2 1 1 full algebra factors 1 1 1 1 1 12 2 2 1 5 full algebra factors 1 1 6 2 1 3 1 6 1 8 1 15 full algebra factors 2 1 1 2 1 1 1 1 12 3 2 3 1 2 full algebra factors 1 1 2 1 1 1 1 1 1 638 5 2 1 26 1 1 full algebra factors 2 1 2 2 3 2 6 1 1 1 1 1 3 8 1 3 1 1 covering set 2 2 3 1 2 1 3 2 8 1 2 5 2 1 1 2 1 2 3 7 full algebra factors 1 6 1 1 2 1 3
17 3 2 2 1 60 1 1 2 1 117 46 2 1123 4 1 1 2 4 9 2 1 1 2 3 1 110 1 7 4904 1 1 4 3 1 24 243 1 8 1 3 2 12 7 6488 1 25 2 4 covering set 2 1 1 4 16 1 2 4 35 covering set 1 3 4 2 1 covering set 2 1 8 1 19 2 1 15 12 2 1 2 2 13 4 partial algebra factors 9 6 1 59 covering set 1 3 4 4 1 4 2 1 10 2 1 6 4 1 2 1 NA 12 1 1 2 3 1 6 18 3173 NA 3 1 18 5 11 80 1 1 2 7 17 928 1 NA 8
18 2 2 1 1 1 1 2 2 11 1 1 8 1 1 1 5 2 1 3 1 2 2 2 1 1 1 2 1 1 2 1 24 1 16 1 1 2 1 1 1 30 3 1 5 1 1 2 1 1 110 5 2 1 1 3 2 4 17 1 3 1 4 2 1 2 1 3 1 1 1 1 2 6 3 44 1 7 172 63 1 3 7 1 1 2 15 3 1 1 1 1 10 32 12 1 9 7 2 19 15 11 4 1 1 1 1 2 5 4 1 1 8 8 3 1 1 2 2 1 1 5 28 1 3 2 1 7 6
19 19 1 2 partial algebra factors 1 1 2 1 covering set 2 covering set 1 1 6 2 1 5 6 18 1 1 1 108 2 1 3 4 1 covering set 1 covering set 1 1 2 2 1 23 11 2 2 1 1 4 6 5 1 8 1 covering set 2 covering set 2 1 6 2 1 1 1 4 5 1 2 4 partial algebra factors 1 5 6 1 covering set 1 covering set 1 3 2 2 partial algebra factors 3 1 10 2 1 1 8 2 1 3 4 1 covering set 1 covering set 1 1 2 872 1 1 1 338 1 21 2 2 18 1 9 6 6 covering set 1 covering set 1 9 4 20 1 7 2 6 2 1 2 12 16 1 1 NA 10
20 3 10 1 1 2 2 1 covering set 1 1 8 1 covering set 6 21 9 22 1 1 2 1 1 2 1 1 2 2 3 covering set 1 1 2 1 covering set 2 1 1 2 1 9 28 1 1 2 154 1 4 162 3 covering set 1 1 22 2 covering set 4 3 1 2 7 5 2 1 1 2 1 3 6 30 1 covering set 1 1 2 1 covering set 2 1 1 10 1 NA 2 2 1 92 3 1 6 2 19 covering set 2 1 6 1 covering set 2 1 1 12 1 21 668 1 17 10 6 1 10 4 1 covering set 2 5 2 1 covering set 2 1 3 2 1 3 2 143 1 2
21 3 1 1 1 4 3 1 1 1 2 1 1 2 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 98 2 2 4 1 17 1 1 2 1 1 1 1 1 10 2 covering set 1 98 3 1 1 1 1 2 2 1 3 3 1 1 1 36 1 1 2867 covering set 1 3 1 2 2 1 1 1 1 1 2 20 1 1 2 3 1 2 88 2 5 2 1 1 1 1 1 2 1 1 2 1 6 1 1 144 1 17 2 3 2 1 1 48 1 1 1 1 1 2 1 2 1 1 2 1 3 1 4 2 2 3 1
22 2 1 2 1 1 1 2 4 1 1 1 1 3 1 1 9 1 4 1 1 1 1 2 3 11 1 1 2 12 1 1 4 2 3 1 1 1 7 1 1 2 2 2 1 8 1 1 4 1 1 2 2 7 1 14 1 1 4 1 1 3 4 2 1 1 1 1 2 4 27 1 1 2 1 2 1 1 2 8 1 3 1 3 1 1 3 1 2 45 1 46 2 39 15 1 1 2 2 1 1 1 1 6 1 1 59 2 3 4 2 1 1 3 4 2 1 5 2 1 2 1 1 7 8 1 22 2 8
23 5 6 6 5 covering set 1 covering set 2 1 1 2 2 1 52 2 1 covering set 2 covering set 4 1 55 4 7 5 214 4 1 covering set 1000 covering set 2 1 1 2 1 3 2 8 1 covering set 3 covering set 4 1 5 6 1 1 2 6 3 covering set 3 covering set 2 19 13 20 6 1 2 6 1 covering set 2 covering set 4 5 1 38 3 1 8 18 1 covering set 1 covering set 4 3 3 4 1 1 102 2 117 covering set 1 covering set 4 1 1 2 1 3 8 4 3 covering set 3 covering set 4 3 1 NA 2 15 2 14 223 covering set 1 covering set 2 143 1 4 4 NA 2 2 1 covering set 1 covering set 12
24 3 1 1 partial algebra factors 2 partial algebra factors 1 1 partial algebra factors 1 1 2 1 8 1 1 2 1 16 1 1 2 12 2 1 5 1 2 2 1 1 3 9 2 1 1 1 1 16 2 1 3 1 2 2 1 5 1 partial algebra factors 3 1 3 18 4 1 3 1 3 4 1 5 1 1 partial algebra factors 1 1 1 3 3896 1 9 3 4 102 3 1 1 1 2 3 9 8 2 2 1 1 1 1 2 2 5 1 1 34 9 partial algebra factors 2 1 662 1 1 1 14 12 4 1 2 1 4 3 1 1 1 116 2 7 2 2 2 1 1 1 5 4 1 1 4 2
25 full algebra factors 2 1 full algebra factors 1 1 1 1 full algebra factors 1 1 2 2 1 4 full algebra factors 1 1 1 1 1 2 2 1 full algebra factors 2 1 1 1 2 2 4 1 1 2 full algebra factors 17 14 1 3 2 1 1 3 1 1 1 7 full algebra factors 1 2 1 1 2 1 1 10 26 3 1 1 1 1 full algebra factors 5 5 24 1 1 3 1 24 2 3 1 6 6 1 21 1 full algebra factors 1 3 1 5 1029 1 1 4 2 1 13 9 2 1 1 1 9 1 full algebra factors 1 1 2 6 covering set 1 3 1 1 1 2 2 1 2 1 16 15 1 1 1 full algebra factors 1 3 1 2 3 2 2
26 7 6 2 1 4 1 1 2 1 3 2 1 1 2 1 1 2 1 7 4 1 1 28 2 133 6 1 1 2 72 3 9812 1 1 4 3 233 4 1 1 22 1 1 10 18 1 2 6 9 14 1 5 24 6 1 6 1 5 2 1 1 2 1 1 100 2 1 6 2 5 16 1 537 2 1 1 2 1 1 382 1 1 6 2 7 66 8 1 4 1 3 2 1 5 6 1 1 4 2 19 2 24 1 6 1 3 6 6 1 8 1 7 2 1 520277 2 1 1 6 1 1509 2 5 249 2 1 1 300
27 full algebra factors 1 2 1 1 2 2 full algebra factors 23 1 10 2 covering set 1 covering set 1 1 2 8 8 1 1 3742 1 1 1 full algebra factors 2 13 1 2 1 7 8 2 1 1 2 8 1 covering set 5 covering set 1 1 2 226 4 1 3 6 2 3 3 2 1 1 2 4 1 1 2 2 full algebra factors 1 1 2 3 covering set 1 covering set 5 23 1 2 22 1 227 156 4 1 1 2 1 23 3 10 2 1 2 230 1 3 8 8 1 covering set 10 covering set 1 51 1 4 8 1 1 6 4 1 1 2 1 7 5 NA 3 1 4 NA 3 3 2 34 1 covering set 3 covering set 3
28 2 2 1 1 1 1 26 1 1 1 1 3 10 47 1 1 2 1 1 2 1 2 1 4 1 1 20 1 1 1 2 2 5 1 3 3 3 1 1 1 2 4 1 1 1 2 2 10 1 1 1 39 1 1 2 1 2 1 5 3 1 3 2 1 9 1 2 14 1 1 1 7 1 5 1 1 3 2 7 1 1 2 2 1 5 22 2 1 3 36 1 18 2 1 1 1 2 2 28 1 53 2 4 5 1 2 74 1 1 1 6 2 1 1 10 25 19 1 1 1 1 71 2 4 1 1 8 1
29 5 136 1 covering set 2 1 1 38 covering set 3 covering set 1 covering set 10 1 1 covering set 1 covering set 38 covering set 3 4 2 1 covering set 2 1 4 2 1 6 1 covering set 2 1 covering set 2 130 77 covering set 1 1 2 2 5 2 8 covering set 2 1 157 8 2 1 covering set 1 135 2 2 covering set 6 19 covering set covering set 1 1 4 4 1 covering set 1 35 2 1 1 2 2 covering set 4 1 1 4 22 covering set covering set 2 1 covering set 1 1 8 2 covering set 142 3 101 6 4 87 covering set 1 1 6 1 1 4 3 covering set 8 1 11 covering set 2 1 covering set 4 25 20 27 1 396 1 covering set 152 3 1 2
30 2 1 1 3 1 1 2 1 1 2 30 1 1 1 1 1 1 6 1 1 2 1 3 1 34205 2 1 1 2 1 1 107 3 1 1 395 1 16 2 2 1 1 1 1 2 2 1 1 21 1 4 1 2 1 2 3 1 43 1 24 4 2 1 5 1 1 12 1 1 1 1 16 2 3 2 2 1 1 4 1 5 1 2 8 1 1 1 2 3 1 1 2 1 1 3 1 1 1 1 1 4 3 1 1 8 10 1 3 36 1 1 1 1 4 1 2 2 1 2 2 3 1 20 1 13 1 2 3
31 7 1 18 1 (>6000) 1 42 2 1 1 6 72 1 1 2 75 1 1 (>6000) 1 275 1 6 1 15 6 2 2 1 1 6 1 107 2 6 1 1 9 250 22 1 1 20 2 3 4 6 1 637 1 (>6000) 2 1 2 10 1 1 1 2 3 9 2 2 1 11 1 48 32 1 149 2 2 (>6000) 1 2 1 1 1 2 4 1 2 4 3 1 2 14 33 17 1 4 1 17 1 6 2 (>6000) 1 2 1 1 6 12 25 1 2 2 1 1 3 2 3 643 1 464 1 3 2 2 1 3 2 1872 1116 7 4 2 1
32 full algebra factors 6 11 1 2 1 1 2 3 covering set 10 1 159 4 1 3 4 4 1 2 2 5 covering set 3 7 58 1 3 (>2000000) 6 1 full algebra factors 2 1 2 1 6425 4 21 1 2 10 covering set 72 1 1 14 6 1 2 2 1 10 24 1 covering set 1 3 32 3 1 2 2 5 186 1 1 50 1 1 82 2 covering set 1332168 1 covering set 12 (>969600) 3 2 1 (>900000) 2 1 1 6 2 499 covering set 1 3 2 2 1 34 10 9 16 1 3 2 28 15 4 1 1 2 7 covering set 8 33 1 16 5 23 (>1200000) 4 3 32 14 407 covering set 3 1 2 2 5 2
33 3 6 8 1 1 1 4 1 1 2 1 26 1 1 2 partial algebra factors 3 1 1 1 1 2 1 3 1 1 7 2 1 3 2 2 2 4 1 1 3 2 1 1 2 2 1 1 2 2 7 1 1 2 5 3 5 3 1 1 2 1 4 1 1 4 1 1 1 5 8 1 1 1 1 6 4 1 1 2 2 9 1 2 1 4 74 8 1 1 3 1 1 1 2 43 4 11 1 1 2 2 7 1 110 3 1 31 1 3 7 360 3 7 1 2 1 1 2 2 3 30 3 5 1 2 1 1 1 1 2 12
34 13 1 1 partial algebra factors 2 covering set 1 1 partial algebra factors 1 1 1 2 2 1 1 1 2 2 10 5 5 1 2 1 1 3086 1 covering set 1 75 1 15 12 2 1 1 1 2 2 covering set 1 1 36 1 1 1 2 partial algebra factors 1 1 4 1 2 2 1 23 2 34 1 1 2 1 covering set 4 1 2 1 6 3 7 1 1 12 1 covering set 1 1 10 1 1 1 2 2 5 93 1 1 64 covering set 1 3 2 8 1 15 618 1 covering set 1 1 1 9 2 2 1 1 1 46 1 covering set 246 3 2 1 1 3 NA 6 1 3 2 4 12 8 1 1 5
35 313 6 6 1 covering set 2 covering set 4 1 1 2 1 1 4 2 5 covering set 1 covering set 2 1 1 2 1 3 2 4 3 covering set 1 covering set 2 1 3 312 1 1 2 2 1 covering set 2 covering set 2 1 1 14 3 1 8 2 1 covering set 1 covering set 174 1 1 2 1 NA 90 6 1 covering set 1 covering set 2 1 5 2 3 1 28 70 1 covering set 1 covering set 6 3 27 22 1 1 2 136 1 covering set 3 covering set 1000 1 37683 4 1 1 2 2 1 covering set 5 covering set 2 5 1 2 1 1 52 2 1 covering set 1 covering set 2 5 1 10 2 5 4 2 1 covering set 1 covering set 2
36 full algebra factors 1 1 full algebra factors 1 1 1 1 full algebra factors 1 1 1 1 1 2 full algebra factors 2 1 1 1 1 1 1 1 full algebra factors 7 1 3 1 3 1 1 1 1 1 full algebra factors 2 1 2 1 2 1 5 1 1 1 3 2 full algebra factors 1 1 1 1 3 1 6 1 1 2 5 1 3 1 full algebra factors 1 2 1 1 5 4 1 1 4 1 1 1 7 1 1 1 full algebra factors 29 4 1 2 1 8 1 1 2 10 2 1 5 4 1 1 1 1 full algebra factors 1 1 20 3 1 1 1 2 1 2 2 3 2 2 1 4 1 5 1 1 full algebra factors 1 2 1 2 1 1 2
37 13 1 2 3 900 3 1 4 1 1 2 1 2 3 1 1 1 14 63 1 2 1 3 1 3 2 1 2 covering set 1 1 8 (>10000) 1 1 7 12 2 15 2 1 1 2 1 2 2 8 3 1 2 7 1 8 1 1 1158 5 3 1 2 2 1 4 1 1 1 2 4 8 1 14 1 35 12 4 1 covering set 2 1 2 7683 1 2 23 2 1 1 3 1 1 3 313 10 4 2 17 9 2 1 99 574 18 3 1 1 1 1 4 188 2 1 1 covering set 1 1 2 4 3 3 2 1 1 18 9 10 10 5 4
38 3 2 1 1 2 1 7 2 43 1 766 2 covering set covering set 1 1 2 1 41 2 1 1579 2 1 covering set 6 23 1 4 2 15 4 9 1 2 1 136211 2 1 3 26 2 5 (>10000) 1 1 2 1 1 16 2 7 covering set 8 1 2 2 1 3708 6 11 2 1 covering set 252 13 67 4 1 1 2 2 81 4 2 1 2 1 1 212 11 3 2 1 1 2 2 1 28 2 1 covering set 1 1 4 3 95 2 1 251 covering set 12 covering set 8 1 1 270 13 13 4 1 3 2 9 3 NA 3 1 28 5 1 6 1 9 NA 1 35 2
39 349 2 2 partial algebra factors 1 1 2 1 covering set 1 covering set 1 3 100 4 35 1 1 2 1 1 1 2 94 1 1 2 1 covering set 8 covering set 42 1 2 10 5 15 1 348 1 27 1 286 2 1 13 36 1 covering set 1 covering set 1 1 4 28 5 5 2 18 1 3 1 2 partial algebra factors 3 7 4 4 covering set 1 covering set 23 1 28 2 1 1 1 24 1 1 2 4 2 1 111 32 6 covering set 2 covering set 5 9 2 6 1 3 1 2 3 3 4 14 8 5 1 2 1 covering set 1 covering set 2 1 38 2 1 1 7 2 1 5 7 3712 2 1 7 8 2
40 2 1 2 1 1 1 2 2 1 2 1 1 1 1 1 3 6 1 2 6 1 1 1 4 5 1 1 1 2 19 6 1 1 2 1 1 5 3 1 1 2 3 3 1 2 1 1 77 1 1 1 2 1 2 1 1 2 1 2 1 2 25 2 1 21 2 15 1 4 3 7 1 2 2 1 1 1 1 3 9 partial algebra factors 1 1 1 4 3 2 2 1 2 1 1 1 76 216 3 5 1 23 41 2 1 1 1 2 2 97 5 1 8 4 1 1 9 2 1 1 7 1 1 1 12 1 15 1 1 1 1
41 3 2 1 1 10 2 153 covering set partial algebra factors 1 4 1 covering set 212 1 1 covering set 4 1 2 1 3 6 1 covering set 2 4 261 covering set 1 1 2 NA covering set 10 3 1 14 2 7 2 1 1 6 1 NA 2 2 1 covering set 2 1 2 1 covering set 3516 covering set 1 14 1 3 4 1 5 covering set 1 1 30 100 53 covering set 3 covering set 6 10 covering set 2 19 1 1082 1 1 2 3 7 24 1 1 2 2 1 covering set 1 1 2 1 covering set 6 1 1 68 11 1 20 2 5 4 26 1 8 124 1 covering set 1 1 122 2 covering set 2 1 covering set 2 1 11 22 1 3 12
42 2 1 2523 1 2 1 1 10 17 1 1 1 3 1 2 15 8 2 1 1 1 8 3 3 1 1 5 2 1 1 1 4 2 1 3 1 1 3 1 8 1 1 8 1 1 1 1 3224 NA 1 1 9 2 1 1 1 1 8 1 4 2 2 6 1 1 2 6 4 1 1 2 1 3 8 2 1 6 4 4 1 9 4 2 1 2 2 33 2 63 1 1 1 2 1 1 2 1 2 1 53 1 1 10 9 1 1 1 6 3 5 42 1 6 1 2 1 6 139 11 1 1 4 3 1 50 2522 1 4
43 5 2 24 279 1 1 4 2 1 2 2 203 (>12000) 1 4 1 79 1 4 1 covering set 6 covering set 1 1 1 10 1 1 1 38 2 1 1 204 15 7 22 40 9 1 7 4 3 1 1 2 1 3 1 2 4 301 4 NA 3 3 2 76 1 87 3 2 1 covering set 1 covering set 2 1 28 2 3 1 1 2 30 19 1 196 2 1 2 2 8 3 1 40 10 1 2 NA 151 1 5 6 1 15 2 NA 1 105 7 2 77 427 3 458 1 covering set 1 covering set 2 1 3 4 1 covering set 2 4 98 1743 3 30 1 1 1 2 1
44 5 4 1 covering set 2 1 1 16 partial algebra factors 1 covering set 5 1 2 1 9 2 2 covering set 12 3 1 18 14 3 covering set 1 1 16 1 17 8 1 covering set 2 1 1 8 2 1 covering set 1 7 4 1 NA 12 1 covering set 2 1 1 2 2 3 covering set 8 1 6 2 1 6 2 covering set 10 1 9 16 2 1 covering set 1 3 2 1 1 NA 2 covering set 6 221 1 2 2 1 covering set 1 3 38 3 1 NA 1 covering set 2 61 7 14 28 141 covering set 12 3 10 2 1 6 1 covering set 6 43 107 26 12 1 covering set 1 7 2 1 1 42 3 covering set 4 3 485 24
45 19 1 1 1 2 1 1 1 1 1 3 3 2 2 1 1 1 1 2 2 2 2 1 153355 1 4 1 1 146 3 2 1 11 1 1 1 2 1 1 3 1 1 1 1 18 1 3 4 3 3 2 1 582 5 1 1 1 1 1 1 2 1 3 1 3 1 1 2 6 167 1 2 1 1 2 102 26 3 1 2 1 6 1 1 82 2 6 4 3 1 50 1 covering set 1 1 5 1 1 2 1 2 160 2 1 1 161 19 16 6 8 1 1 5 2 2 7 4 1 1 1 1 1 1 2 2 1 1 9
46 2 2 1 1 1 2 1 1 3 2 1 2 1 1 5 81 17 1 1 1 1 1 6 1 1 1 2 4 2 3 2 1 2 1 1 1 2 1 4 1 2 1 1 2 1 1 1 1 1 52 11 1 1 4 1 8 1 8 1 7 10 1 1 5 8 1 4 6 4 16 1 3 1 9 1 1 1 2 2 4 3 1 5 1 1 26325 1 3 1 1 9 1 24162 2 75 1 1 1 4 2955 1 1 1 1 3 7 11 1 1 1 1 12 1 3 3 15 1 2 21 1 935 12 1 1 1 2 4 51
47 127 4 2 1555 covering set 1 covering set 32 1 51 2 1 covering set covering set 2 1 covering set 2 covering set 2 covering set 1 358 4 1 30 74 3 covering set 1 covering set 2 NA 1 6 7 37 8 NA 1 covering set 1 covering set 480 3 1 126 2 1 4 covering set 9 covering set 3 covering set 34 covering set 763 8 1 1 148 18 5 covering set 6 covering set 2 1 459 2038 46 covering set 8 2 1 covering set 3 covering set 222 5 1 2 1 1 NA 4 7 covering set 1 covering set 2 75 3 138 6 NA 2 4 23 covering set 1 covering set 16 1 19 12 3276 3483 2 2 25 covering set 4 covering set covering set 1 283 4 1 1 4 164 1 covering set 23 covering set 60
48 19 4 2 1 1 294 2 1 1 1 2 2 162 17 1 5 12 1 1 4 2 15 1 1 59 15 2 10 9 1 1 2 1 8 3 5 2 1 1 8 2 8 1 1 3 1 2 18 1 1 1 6 1 1 2 1 7 2 35 1 1 4 1 11 1 1 19 2 4 1 1 2 6 3 20 2 12 49 5 3 15 2 2 7 1 1 3 2 1 4 14 35 1 3 1 3 8 1 1 1 41 2 1 36 1 1 2 14 1 1 2 4 13 1 1 6 8 107422 1 3 1 6 1 4 8 1 7 1
49 full algebra factors 1 1 full algebra factors 1 1 2 2 full algebra factors 1 1 1 1 2 1 full algebra factors 2 1 2 4 1 1 1 14 full algebra factors 3 1 1 4 24 9 1 1 2 1 full algebra factors 1 1 2 1 1 3 2 122 2 1 1 1 full algebra factors 2 1 2 15 6 1 3 1 1 16 1 3 1 1 full algebra factors 1 5 1 1 42 14 3 1 1 6 4 3 2 1 212 1 covering set (>10000) 3 2 1 5 1 2 2 1 1 1 2 36 4 1 3 1 52 full algebra factors 1 2 10 2 1 69 1 8 4 4 1 13 6 4 128 1 1 2 4 1 full algebra factors 2 2 2 1 1 2 1
50 3 2 1 1 12 6 1 2 1 1 6 1 19 66 1 covering set 2 partial algebra factors 7 2 1 1 4 2 1 4 2 1 2 1 1 2 2 1 covering set 1 (>30000) 2 1 1 2 1 1 8 5 3 2 1 25 2 1 19 2 1 1 2 2 5 4 1 1 6 4 1 2 1 covering set NA 1 1 2 2 19 2 11 1049 2 1 3 2 1 1 6 12 1 covering set 1 7 2 5 1 NA 1 193 4 1 95 4 1 1 22 1 11 366 8 1 4 1 1 48 2 5 2 4 1 2 1 covering set 4 1 3 444 9 1 410 1 1 4
51 4229 1 8 3 1 1 2 2 1 1 2 4 1 3 2 1 1 2 2 1 1 2 96 1 covering set 1 covering set 1 1 6 4 2 5 1 4 1 3 2 8 1 7 1 2 1 21 2 40 1 1 1 4228 5 9 1 2 1 1 1 6 2 1 8 2 partial algebra factors 1 1 2 1 1 3 4 1 1 23 10 2 covering set 2 covering set 1 3 2 2 1 13 1 2 2 1 2 2 1 1 1 2 2 1 3 2 1 1 3 6 1 1 5 6 1 11 3 2 1 7 1 12 2 167 13 NA 4 1 1 18 1 1 1 8 60
52 2 1 2 3 3 1 4 8 1 1 1 4 2 1 2 1 1 4 5 1 1 5 2 19 1 3 4 2 3 1 2 1 2 139 1 1 1 3 1 8 1 2 643 1 1 1 5 4 9 5 5 1 3 63 1 2 1 11 1 1 3 14 2 1 2 9 89 2 1 1 1 2 19 1 2 2 1 2 91 1 1 NA 6 5 3 1 1 6 5 1 2 1 18 3 7 2 4 2 1 1 55 1 8 1 36 3 1 3 1 2 73 6 2 1 1 3 8 2 13 1 137 1 31 3 2 1 14 2
53 11 44 1 1 2 1 11 8 3 71 6 71 covering set 20 1 15 covering set 1 1 2 2 211 2 4 1 30 2 1 40 9 1 4 1877 1 2 1 covering set 24 1 1 covering set 2 NA 2220 2 1 4 1 63 2 3 3 10 1 3 2 827 (>100000) 16 12 covering set 2 1 1 covering set 1 NA 4 4 1 2 3 1 72268 1 1 4 1 1839 4 75 115 22 1 covering set 26 11 1 covering set 4 1 4 2 31 2410 1 NA 4 4 17 34 490 1 4 1 43 6 2 covering set 2 46 42547 covering set 5 3 414 2 49 12 1 33 2 1 1 4 5 NA 11090
54 3 1 2 partial algebra factors 1 partial algebra factors 2 1 partial algebra factors 4 1 1 1 2 1 1 3 1 6 8 covering set 1 267 4 3 37 17 1 14 1 11 1044 3 covering set 1 9 1 2 2 2 1 1 2 22 (>10000) 43 3 1 partial algebra factors 1 1 2 1 2 1 1 4 13 200 2 7 1 2 partial algebra factors 10 17 1 1 2 1 1 19 2 6 1 covering set 1 1 34 2 1 48 1 2 3 1 310 1 covering set 4 7 1 1 2 3 NA 1 2 2 1 27 1 2 8 1 3 1 2 258 1 5 1 1 4 203 1 1 6 2 2 31 1205 2 4 2 1 1 1
55 17 1 76 1 1 2 2 1 3 1 8 1 covering set 1 covering set 1 1 2 4 6 1 21 6 1 1 1 8 2 1 2 2 1 1 2 2 1 1 1 4 1 covering set 1 covering set 12 1 1 26 56 1 1 2 1 7 1 16 1 1 1 2 1 3 6 2 739 1 4 4 1 covering set 1 covering set 32 1 2 2 8 7 1 2 5 3 1 6 3 31 1 2460 1 1 2 8 1 1 1 2 1 covering set 4 covering set 69 1 29 2 2 1 2665 34 1 33 2 2 1 5 1 4 1 1 NA 6 1 1 1 2 1 covering set 101 covering set 1
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80 3 2 1 7 6 1 3 2 1 (>400000) 208 3 1 2 4 1 2 1 3 102 2 1 162 3 1 2 5 1 2 1 (>400000) 6 2 1 2 1 3 14 1 3 2 1 161 134 1156 5337 2 118 1 254 1 1 502 2 119 4 4 1 2 1 309 8 1 1 2 1 21 16 1 37 64 3 1 12 27 1 2 4 11 2 7 5 16 1 163 6 1 1 2 74 3 28 6 139 4 35 1 4 1 17 150 3 3 6 2 16237 2 2 1 256 2 7 50 30 1 144 4 1 16 3 1 2 1 3 2 1 1 24
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90 3 1 1 1 1 20 4 1 1 10 10 4 6 1 5 1 2 1 1 2 1 1 1 3 partial algebra factors 1 covering set 2 1 1 1 1 1 2 4 127 1 8 2 NA 2 1 17 2 1 1 1 12 1 23 32 1 3 6 2 1 3 28 1 1 4 NA 1 covering set 1 1 1 7 14 1 1 6 1 1 3 2 2 1 1 20 9 2 330 1 1 3 1 1 1 2 3 3 1 2 4 11 6 1 5 1 2 11 2 2 405 1 1 1 4 2 14 1 1 1 2 2 1 covering set 1 1 1 1 1 1 4 2 13 1
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94 5 5 1 partial algebra factors 2 1 95 1 partial algebra factors 1 1 2 163 154 1 21951 1 6 4 1 1 3 1 12 41 9 5 1 (>1000000) 1 1 1 5 54 2 7 254 1 covering set 1870 1 1 3 24 1 13 10 41 partial algebra factors 2 1 12 37 6 1 covering set 4 7 640 1 5 1 1 partial algebra factors 3 1 1 4 2 50 1 6 1 6 8 1 1 1 2 56 79 2 2 6 1 43 1524 5 16 2 1 1 1 4 1 105 2 3 2 35 7 1 3 2 2 3 9 1 2326 2 1 13 3494 6 3 1 106 1 NA 1 3 1 5 NA 1 27 13 3
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100 full algebra factors 1 3 full algebra factors 1 1 1 2 full algebra factors 9 11 1 1 1 1 full algebra factors 1 2 1 1 1 1 4 1 full algebra factors 18 1 1 2 1 1 14 1 1 1 full algebra factors 36 2 2 7 1 2 1 3 1 6 8 1 full algebra factors 1 1 1 2 1 56 1 4 1 10 2 9 1 1 full algebra factors 6 1 9 2 1 1 5 3 1 44709 1 4 1 1 1 2 full algebra factors 1 17 2 1 1 1 3 1 1 2 1 4 2 96 5 2 45 2 full algebra factors 1 209 1 1 1 1 6 1 68 4 1 1 1 1 1 3 1 2 2 2 full algebra factors 1 2 1 2 30 13 1
101 3 42 1 3 350 2 1 112 1 1 24 11 covering set 104 1 covering set covering set 5 3 2 2 1 648 1 1 392 2 113 922 2 1 6 covering set 1 covering set 1 covering set 14 48 5 covering set 1 3 2 2 1 2448 6 1 2 1 3 NA 8 1 12 1 1 2 3 covering set 28 1 559 covering set 34 covering set 5410 covering set 1 8 2 115 966 15 1 12 1 1 4 1 87 2 4 covering set covering set 9 1 covering set 2 1 2 2 9 12 6 5 4 1 1 2 1 1793 4 55 1 6 28320 covering set 26 5 1 covering set 61 1 28 20 covering set 2 1 23 2 1 15 2 1 55 38
102 2 2 3 13 1 2 4 2 17 1 2070 1 4 1 2 5 1 31 3 1 1 1 27 1 1 3 1 8 1 3 2 43302 39 1 3 1 1580 8 4 1 2 1 8 5 7 1 1 2 3 1 2 1 76 1 11 1 1 2 3 4 1 1 3 4075 2 5 1 3 5 3 10 5 2 1 1 2 1 2 981 13 3 1 10 4 1 17 2 12 3 9 1 4 78 1 1 1 5 6 125 3 1 1 3 1 1 2 5 2 1 2 1 1 2 60 13 1 1 4 15 1 3 2 4 1 398 14 1 2
103 19 4 2 1 1 1 2 1 1 2 54 4 1 189 32 57 3 1 820 5 3 442 216 32 covering set 1 covering set 2 1 1 NA 12 1 24 6 27 43 2 8 1 1 36 2 9 411 1 2 1 NA 5 42 27 1 4 220 2 11 34 8 2 141 8 2 partial algebra factors 1 27 6 678 215 NA 10 3 341 1 498 1 covering set 2 covering set 135 53 3926 NA 204 1 1 4 2 1 4 2 31 1 160 2 1 NA 1 4 1 39 3 18 1 1 3 NA 8 1 1 6 15 37 13 2 6 NA 1 NA 1 3 4 2 15 65 125 4 1
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105 3 6 1 1 1 3 1 1 partial algebra factors 1 1 1 2 1 1 3 1 1 1 1 2 1 4 2 partial algebra factors 1 1 1 1 2 1 1 1 2 3 1 1 1 2 2 2 1 3 3 1 2 1 1 1 3 1 2 1 1 1 1 2 1 20 1 1 4 1 1 1 47 1 56 1 1 1 1 (>8000) 6 3 3 4 3 3 91 1 1 1 1 2 1 1 1 2 2 2 1 1 2 1 1 5 1 1 1 3 1 1 3 2 6 7 2 1 1 1 2 1 1 1 2 11 1 1 11 partial algebra factors 1 2 3 19 1 2 2
106 2 1 1 45 2 1 24 2 1 1 1 5 24 1 1 1 1 1 2 4 22 5 1 1 1 2 1 2 1 4 8 1 11 1 1 1 1 1 1 6 24 1 4 1 2 2 2 1 3 1 3 25 74 2 2 1 1 2 10 1 1 1 4 NA 2 1 5 1 3 1 3 2 1 3 1 2 1 1 1 4 NA 1 2 3 6 1 1 1 1 1 1 2 1 6 1 5 15 2 1 1 1 2 5 5 2 1 2 1 1 3 2 2 31 3 10 1 1 5 1 2 3 5 1 3 1 1 1 1
107 17 21910 4900 251 covering set 1 covering set 2 NA 1 2 1 35 16948 262 3 covering set 2 covering set 184 1 17 4 4 NA 42 98 11 covering set 1 covering set 4958 79 1 2 1 1 40 NA 59 covering set 1 covering set 36 191 371 18 2 1 2 114 1 covering set 1 covering set 2 1 7 24 3 3 18 4 5 covering set 5 covering set 30 1 1 1078 1 19 128 6 11 covering set 7 covering set 2 3 5 12 4 1 10 8 (>100000) covering set 1 covering set 4 3 643 2 1 1 2 16 (>100000) covering set 1002 covering set (>100000) 59 37 16 2 3783 2 NA 3997 covering set 1 covering set (>100000) 249 (>100000) NA 13 1 154 50 1 covering set 8379 covering set 4
108 2 2 6 1 3 1 2 1 1 2 1 2 2 1 1 9 4 21 3 2 1 4 2 1 1 51 2 1 3 2 1 4 4 1 1 11 2 2 1 11 13 2 1 1 12 1 48 4 17 1 1 2 17 NA 1 1 2 1 NA 4 27 2 1 1 1 1 3 9 1 1 7 72 1 3 2 2 6 1 11 31 1 3 1 5 4 2 348 137 129 1 9 31 NA 1 1 29 491 2 1 1 3 3 5 13 4 1 410 1 39 3 1 2 1 5 2 1 179 1 13 1 79 4 382 23 1 5 286 620
109 17 2 1 partial algebra factors 2 1 1 19 covering set 4 1 1 6 10 2 3 1 90 2 1 covering set 14 71 6 1 1 1 1 2 5 1 4 3 covering set 1 1 2 91 4 1 1 3 2 2 covering set 1 2 1 covering set 1 9 1 82 4 2 15 1 2 186 3883 covering set 4 1 partial algebra factors covering set 1 1 1 2 1 11 2 91 10 2 covering set 12 1 18 1 1 1 1 (>400000) 8 3 34 9 covering set 3 9 167 3930 2 3 1 1 26 4 3 covering set 1 1 12 1 1 11 6 16 4 9 12 1 12 1 7 2 1 2 8 5 1 1 2 2 25 1 96
110 3 16 2 1 6 1 1 2 77 17 42 1 1 2 2 1 2598 1 1 4 1 5 78120 2 1 2 1 1 2 1 9 2 3 1 4 partial algebra factors 1689 covering set 1 3 4 11 1 4 8 1 2 1 53 982 82 3 2 1 5117 6 1 1 4 1 1 52 3 1 84 2 1 8 1 1 38 1 covering set 14 3 1205 10 2 1 2 11 7 4 1 1 4 46 1 24 4 1 2 16 NA 680 1 5 20 1 59 6 3 1 106 1 3 3046 8 5 2 13 49 2 1 3 12 4 1 34 3 1 2 3 273 4 1 5 24
111 3 24 2 1 1 4 6 1 1 1 2 2 covering set 1 covering set 13 5 1 12 8 1 1 42 1 17 1 46 2 1 1 6 2 1 2 2 NA 1 1 2 2 covering set 2 covering set 2 1 1 2 2 1 245 4 2 3 9 12 1 1 4 10 1 1 2 2 1 1 3 8 1 covering set 4 covering set 6 1 5 6 6 1 1 2 2 341 3 16 1 1737 7 194 1 1 16 2 1 17 1 12 1 covering set 7 covering set 1 7 1 2 2 1 43 2 1 11 2 2 8 1 1 2 7 17 2 2 27 187 1 22 1 covering set 1 covering set 1
112 2 1 50 1 132 9 2 268 5717 1 1 4 7 1 2 29 2 4 1 1 1 1 3 1 11 2 1 20 107 1 (>7500) 1 2 5 1 21 1 3 4 1 1 1 3 3 1 2 8 2 3 3 1 2 19 1 1 1 6 3 1 1 14 4 2 1 7 2 4 1710 1 2 1 2566 2 1 1 1 1 3 (>7500) 3 3 1 2 7 24 1 1 2 1 1 13 1 10 588 1 22 5 2 1 1 1 1 3 3 2 2 5 6 8 5 7 1 36 7 2 5 1 2 1 2 1 16 2 15 1 3 10 2
113 23 2 5 3 8 1 15 2 1 1 2 3 1 308 2 5 2 2 11 covering set 1 NA 2 1 1 NA 8 1 84 1 21 2 1 3 3330 3 covering set 8 1 1 6 11 1 8 2 1 6 2280 covering set 6 10 7 40 1 69 2 4 1 2132 1 1 2 1 1 covering set 1 3 2 1 9 6 3 1 4 4 3 covering set 1 1 22 partial algebra factors 11 1266 1 3 2 4 1365 152 1 NA 22 5 covering set 2 1 7 40 8 1 2 136 13 8 1 19 24 1 1 184 1 NA 22 3 3 14 4 5 40 3 1 4 1 1 2 9 7 6
114 29 1 63 partial algebra factors 1 1 1 1 partial algebra factors 2 27 1 1 2 1 1 2 21 2 3 1 20 1 covering set 5 1 2 1 1408 3 1 6 1 36 1 7 1 25 2 15 1 1 2 16 6 3 133 1 partial algebra factors 2 1 1 5 2 1 3 8 4 2 11 7 10 3 partial algebra factors 10 1 2 4 2 3 1 3 2 2 40 1 2 2 106 4 2211 6 1 2 1 1 2 2 2 1 covering set 1 1 10 15 3 1 1 20 1 3 9 2 264 1 13 1 3 162 1 1 3 2 28 1 5 1 1 20 1 NA 1 2 18 1 5 2 1
115 7 1 22 4223 3 2 4 1 3 1 18 2 (>8000) 1 38 1 1 1 2 2 127 3 1116 2 1 9 2 2 1 1 2 28 3 1 50 1 1 2 28 2 1 7 (>8000) 1 5227 16 4 1 3 1 2736 1 165 14 2 2 covering set 2 covering set 1 3 1 4 NA 9 1 132 4 1 1 2 2 1 3 1074 2 1 1 NA 1 1 362 2 28 119 NA 48 1 NA 2 2 3 1 2 16 2 NA 5 4 1 1 4 NA 1 1 16 6 4 1 39 4 2 NA 1 6 1 3 1 2 1 3 1 16 6 1 1 4 54
116 59 32 1 1 156 1 1 2 249 11 118 2 15 covering set 4 5 2 1 1 14 1 1 2052 6 covering set 8 19 3 2 2 1 36 2 1 2 19 3 2 1 1 2 1 1 1364 15 39 34 3 1 2 2 27 covering set 1 1 2 7 3 20 1 3 10 1 covering set 2 1 9 2 2 1 NA 2 1 4 1 13 2074 7 249 1550 1 1 78 1 1 2 1 15 92 2 1 covering set 2 1 6 4 1 6 1 117 2 1 covering set 30 NA 1 2 1 3 32 2 25 2 3 1 58 3 1 NA 2 5 2 6 187 4 2 1 12
117 3 1 2 1 (>8000) 1 1 16 1 2 1 2 6 1 1 1 (>8000) 3 336 1 2 4 3 4 3 1 1 2 8 3 15 2 (>8000) 8 2 1 78 3 1 1 209 13 2 1 2 1 1 2 1 1 15 4 8 1 1 1 1 70 352 1 106 1 2 1 1 11 1 12 4 16 1 1 3 3 97 14 2 2 1 2 5 14 442 8 10 1 177 2 3 1 1 129 4 12 1 2 1 3 1 1 2 1 2 4 35 1 10 4 84 232 2 1 11 1 4 2 2 136 1 2 1 2 2 3 2 1 2 3
118 5 2 1 1 15 210 52 85 1 1 1 2 2 1 7 partial algebra factors 2 393 72 2 1 191 1 5 1 1 860 1 599 1 2 2 4 16 1 3 27 1 8 2 26 30 (>37000) 5 1 2 2 18 5 covering set 3 2983 2 3 2 1 1147 1 1 1 1 2 1 1 1 1 2 4 covering set 1 1 2 2 1 1 2 2 1 1 1 27 4 30 8 1 3 4 1 1 12 1 27 1 1 15 5 2 9 1 17 6 12 1 36 1 25 2 1 1 1 2 35 41 1 1 1 2 4 9 1 1 2 18 1 2 1 15 2
119 3 28 6 covering set covering set 665 covering set 2 covering set 13 covering set 1 1 258 2 109 covering set 1 covering set NA 1 1 34 2 1 covering set 2 1 covering set 2 covering set 64 3 covering set 612 1 NA 2 4 1 covering set 6 covering set 12 1 5 46 1 covering set 2 covering set 3 covering set 24 covering set covering set 1 3 4 2 23 84 38 covering set covering set 1 covering set 130 covering set 1 covering set 5 35 NA 6 1 covering set 1 covering set 4 5 5 18 14 11 covering set 2 295 covering set 1 covering set 22 9 covering set 8 1 11 66 4 3 covering set 4 covering set 2 1 1 4 2 covering set 2 covering set 1 covering set 12 covering set covering set 1 3 2 2 5 6 2 covering set covering set 3 covering set 4
120 5 1 1 1 1 1 1 1 3 2 1 1 1 2 1 7 1 1 5 1 2 8 27 1 1 1 8 1 3 6 1 4 6 1 3 1 5 21 1 1 1 1 6 1 1 1 1 2 1 1 3 1 1 18 1 1 1 1 1 5 3 3 1 1 2 1 1 4 1 7 1 2 4 3 1 4 1 5 1 2 1 1 21 1 4 1 2 1 3 1 2 2 1 1 1 1 3 2 1 11 1 1 1 1 2 8 6 1 2 2 437 138 2 1 1 2 6 1 2 4 1 1 1 1 2 5 3 1
121 full algebra factors 1 1 full algebra factors 1 2 60 1 full algebra factors 4 8 1 1 1 1 full algebra factors 1 2 1 2 1 1 3 1 full algebra factors 3 8 1 1 24 3 9 1 2 4 full algebra factors 1 1 11 1 4 1 68 1 1 8 1 1 full algebra factors 10 1 2 2 2 1 2 10 1 3 12 6 13101 2 full algebra factors 1 1 3 2 1 2 1 3 2 5 2 1 2 1 4545 1 full algebra factors 1 1 1 1 1 11 2 2 1 1 1 7 7 2 5 5 3 2 covering set 16 3 4 1 4 125 1 12 2 1 8 1 1 4 5 2 1 1 3 1 full algebra factors 2 3 3 218 1 20 4
122 5 6 2 1 2 2 1 26 1 3 10 5 43 covering set 2 1 4 18 111 8 2 1 2 1 1 18 2 703 4 1 1497 NA 2 55 170 1 1 2216 3 covering set 2 2757 3 92 1 13 NA NA 33 2 1 1 1162 3 1 2 2 59 20 4 63 2 4 53 2 2 1 16 5 1 10 1 NA 76 38 5 140 2 3 2 partial algebra factors 21 covering set 1 1 2 1 99 112 1 5 2798 3 1 6 2 1 2 4 1 NA 5 75 12 1 19 18 2 1 2 1 covering set 2 1 1 covering set 2 7 740 1 3 4 3 15 4 6 1 284
123 43 8 8 1 1 7 2 1 5 1 (>8000) 7 covering set 1 2 75 1215 1 4 1 1 2 8 (>555000) 91 26 20 5 1 8 2 3 1 5 2 7 99 1 228 1 1 7 22 161 1 1 446 1 9 20 1730 2 1 3 8 5 47 5 4 3 covering set 2 covering set 11 71 1 12 1 1 1 2 108 37 4 188 2 3 4 2780 1 2499 7 102 1 1 176510 2 73 197 1 10 34 5 15 22 1 27 1666 4 5 1 180 1550 1 15 1 2 66 1 13 34 2 1 3 20 3 235 9 NA 1 1019 6 42 3 1 1 2 2
124 599 4 11 partial algebra factors 1 1 4 1 partial algebra factors 16 11 1 2 82 5 1 4 2 2 17 7 2 1 2 1 55 1 2 158 1 NA 1 1 6 1 1 10 3 2 453 137 1 1 4 2 1 1 12 partial algebra factors 1 1 4 1 36 1 19 2 923 2 5 1 1 4 partial algebra factors 1 77 12 1 6 4 1 9 2 314 2 179 1 16 10 8 5 1 1 32 2 1 3 1 2 1 1 3 5 104 1 1 42 5 8 1 NA 1 2 246 2 7 1 6 2 2 1 6 1 12 4 3 4 1 2 1 3 4 33 598 20 13 2 11
125 full algebra factors 2 3 1 2 24 5 covering set 1 1 4 1 covering set 2 1 1 covering set 2 1 4 2 1 2 1 3 12 full algebra factors 1 covering set 9 55 78 1 covering set 4 13 covering set 20 1 1 covering set 8 1 2 2 1 10 6 1 covering set 1 NA NA 3 covering set 12 3 623 2 1 covering set 4 1 full algebra factors covering set 3 2233 100 40 35 covering set 1 1 2 5 covering set 4 1 1 2 1 5 2 1 covering set 686 1 91 covering set 4 7 covering set 6 1 6 67 covering set 6 33 69 178 2 5 4 23 1 2 1 covering set 2 4 1 covering set 1 1 12 10 covering set 18 3 383 4 1 8739 full algebra factors 1 1 16
126 2 1 50 1 2 1 1 46 9 1 1 1 1 4 1 3 1 1 1 3 4 25 1 1 5 1 11 1 2 1 4 103 1 1 1 1 4 1 5 1 1 14 1 2 1 2 2 1 1 1 1 1 2 1 3 2 2 1 1 1 96 41 1 103 4 1 4 14 1 1 1 2 4 1 2 1 3 2 2 1 5 1 1 2 1 2 3 1 1 2 1 4 1 2 1 22 2 1 1 603 1 159 5 1 1 1 102 5 7 1 1 2 66 6 1 2 1 1 25 9 1 2 1 5 1 1 1 1
127 5 2 4 3 1 1 14 2 1 2 6 1 NA 1 124 1 NA 3 4 1 13 9 2 3 NA 1 1922 8 1 2 30 2 NA 1 NA 1 41 142 8 1 7 1 12 4 1 13 36 6 7 1 10 6 7 1 28 2 9 2 356 2 1 1 58 11 1 21 74 3 23 1 10 4 3 1 2 1 1 3 NA 1 83 2 2458 1 1 51 2 2 1 2 NA 1 443 15 2 7 1 3 16 7 3 1 4 8 3 1 6 3 1 4 2 4 2119 3 8 1 5 2 28 4 NA 1 176 4 1 1 4 2
128 full algebra factors 18 1 15 2 6 3 2 1 1 18 46 1 4 2 459 36 2 3 10 1 7 2118 5 5 1442 2 1 211192 66 1 2 5 5 98 59 699 20 15 1 2 246 1 covering set 2 (>714285) 2 1 1 22 34 3 6 1 1 2 11 21 covering set 41 9 44484 2 1 4 1 3 2 1 37 2 124 1 1128 4 759 2 116 1 2 3 7 2 5 covering set covering set 1563 989 12 1 11 10 1 11 188 14 495 2 1 1 10 3 1 1132 17 1 4 5 257 2 1 NA 2 1 3 2 7 1545 NA 1 3 32 5 3 26 1 (>1950000) full algebra factors