Quality of Records

I took records (61,1,1818) and (85,1,6097) as of November 6, 2002, to be perfect records, and interpolated the remaining powers. The purpose is to compare quality of records for various powers.
This should be reliable for high powers only. For low powers other search methods are used or more effort was put to the search and therefore records are better.
Ratio of 1 or less means perfect record.
Table contains: power, expected record, current record, ratio current/expected
10 22 13 0.591
11 26 16 0.615
12 30 21 0.7
13 35 21 0.6
14 40 25 0.625
15 46 28 0.609
16 52 49 0.942
17 59 39 0.661
18 66 57 0.864
19 74 51 0.689
20 83 65 0.783
21 92 75 0.815
22 103 95 0.922
23 113 105 0.929
24 125 124 0.992
25 137 137 1
26 151 155 1.026
27 166 163 0.982
28 182 204 1.121
29 198 173 0.874
30 216 191 0.884
31 235 233 0.991
32 255 230 0.902
33 278 295 1.061
34 301 318 1.056
35 326 395 1.212
36 352 377 1.071
37 380 385 1.013
38 410 471 1.149
39 441 667 1.512
40 475 745 1.568
41 510 610 1.196
42 548 818 1.493
43 588 639 1.087
44 631 809 1.282
45 676 882 1.305
46 722 866 1.199
47 772 940 1.218
48 825 1077 1.305
49 880 939 1.067
50 939 1164 1.24
51 1001 1140 1.139
52 1066 1826 1.713
53 1134 1438 1.268
54 1205 1772 1.471
55 1281 1350 1.054
56 1360 1772 1.303
57 1443 2501 1.733
58 1530 2071 1.354
59 1622 2223 1.371
60 1718 2703 1.573
61 1818 1818 1
62 1924 2140 1.112
63 2033 2819 1.387
64 2149 2738 1.274
65 2269 3392 1.495
66 2394 5662 2.365
67 2527 4079 1.614
68 2663 4394 1.65
69 2807 5292 1.885
70 2957 3148 1.065
71 3112 4832 1.553
72 3276 3690 1.126
73 3444 3555 1.032
74 3621 3928 1.085
75 3805 8160 2.145
76 3995 6780 1.697
77 4196 5177 1.234
78 4402 5463 1.241
79 4617 5685 1.231
80 4842 7651 1.58
81 5072 7084 1.397
82 5316 9665 1.818
83 5566 7894 1.418
84 5826 7496 1.287
85 6097 5893 0.967
86 6374 9295 1.458
87 6668 9411 1.411
88 6968 12874 1.848
89 7279 11431 1.57
90 7604 11017 1.449
91 7936 12230 1.541
92 8286 9922 1.197
93 8644 14590 1.688
94 9014 15670 1.738
95 9400 12940 1.377
96 9795 18670 1.906
97 10208 11362 1.113
98 10633 19845 1.866
99 11069 30611 2.765
100 11525 14031 1.217
Jaroslaw Wroblewski jwr@math.uni.wroc.pl