I think this thread is kind of silly, but to play along, I just came up with a formula. I am not sure what the lowest averages for computer cubes are, so I not sure how values for
n greater than 7 compare with human records (computer or by hand).
The
Potential time (in seconds) for world record averages of 5 for a cube of size
n is:
\( P\left( \text{WR Avg}\text{.}\left( n \right) \right)=\frac{3\text{x3 WR Avg}\text{.}}{\frac{3^{2}}{\ln \left( 3 \right)}\left\lfloor \text{log}_{10}\left( {f}'\left( 3 \right) \right) \right\rfloor }\left\lfloor \text{log}_{10}\left( {f}'\left( n \right) \right) \right\rfloor \frac{n^{2}}{\ln \left( n \right)} \)
, where
\( {f}'\left( n \right)=\text{rate of change of number of positions of a cube of size }n. \)
\( {f}'\left( n \right)=\frac{\left( 8!\times 3^{7} \right)\left( 12!\times 2^{10} \right)24!^{\frac{1}{4}\left( \left( n+1 \right)\left( n-3 \right)+3\cos ^{2}\left( \frac{n\pi }{2} \right) \right)}\ln \left( 24!^{4\left( n-1 \right)}4!^{-24\left( n-2 \right)} \right)}{{}} \)
\( \text{ }8\left( 24\times 12!\times 2^{10} \right)^{\cos ^{2}\left( \frac{n\pi }{2} \right)}4!^{\frac{3}{2}\left( \left( n-1 \right)\left( n-3 \right)+\cos ^{2}\left( \frac{n\pi }{2} \right) \right)} \)
Which I first showed in
this post .
\( \left\lfloor \text{log}_{10}\left( {f}'\left( n \right) \right) \right\rfloor \) is power of ten of the rate of change for the number of positions for the nxnxn.
So for n = 1 to 1000 (ignore the value for n = 1), if we use the actual derivative (rate of change formula), with Mathematica input:
Spoiler
AccountingForm[(7.64/(3^2/Log[3]*
Yields (in seconds, but I included minutes, hours, days, and years)
Code:
n Seconds Minutes Hours Days Years
Code:
2 2.05022 0.034170333 0.00057 2.37294E-05 6.5012E-08
3 7.64 0.127333333 0.002122 8.84259E-05 2.42263E-07
4 24.0901 0.401501667 0.006692 0.000278821 7.63892E-07
5 52.427 0.873783333 0.014563 0.000606794 1.66245E-06
6 105.288 1.7548 0.029247 0.001218611 3.33866E-06
7 181.161 3.01935 0.050323 0.002096771 5.74458E-06
8 299.332 4.988866667 0.083148 0.003464491 9.49176E-06
9 456.763 7.612716667 0.126879 0.005286609 1.44839E-05
10 678.896 11.31493333 0.188582 0.007857593 2.15277E-05
11 956.883 15.94805 0.265801 0.011075035 3.03426E-05
12 1325.37 22.0895 0.368158 0.015339931 4.20272E-05
13 1773.2 29.55333333 0.492556 0.020523148 5.62278E-05
14 2341.76 39.02933333 0.650489 0.027103704 7.42567E-05
15 3010.87 50.18116667 0.836353 0.034848032 9.54741E-05
16 3833.91 63.8985 1.064975 0.044373958 0.000121572
17 4788.17 79.80283333 1.330047 0.055418634 0.000151832
18 5933.95 98.89916667 1.648319 0.068679977 0.000188164
19 7236.12 120.602 2.010033 0.083751389 0.000229456
20 8770.03 146.1671667 2.436119 0.101504977 0.000278096
21 10498.2 174.97 2.916167 0.121506944 0.000332896
22 12502.8 208.38 3.473 0.144708333 0.000396461
23 14730.2 245.5033333 4.091722 0.170488426 0.000467092
24 17281 288.0166667 4.800278 0.200011574 0.000547977
25 20099.9 334.9983333 5.583306 0.232637731 0.000637364
26 23293.6 388.2266667 6.470444 0.269601852 0.000738635
27 26786.9 446.4483333 7.440806 0.310033565 0.000849407
28 30708.6 511.81 8.530167 0.355423611 0.000973763
29 34982.6 583.0433333 9.717389 0.404891204 0.001109291
30 39743 662.3833333 11.03972 0.459988426 0.001260242
31 44889.9 748.165 12.46942 0.519559028 0.001423449
32 50596.2 843.27 14.0545 0.585604167 0.001604395
33 56736.8 945.6133333 15.76022 0.656675926 0.001799112
34 63473.7 1057.895 17.63158 0.734649306 0.002012738
35 70722.9 1178.715 19.64525 0.818552083 0.002242608
36 78634.4 1310.573333 21.84289 0.91012037 0.00249348
37 87097.2 1451.62 24.19367 1.008069444 0.002761834
38 96307.7 1605.128333 26.75214 1.114672454 0.003053897
39 106108 1768.466667 29.47444 1.228101852 0.003364663
40 116747 1945.783333 32.42972 1.351238426 0.003702023
41 128013 2133.55 35.55917 1.481631944 0.004059266
42 140196 2336.6 38.94333 1.622638889 0.004445586
43 153105 2551.75 42.52917 1.772048611 0.004854928
44 166969 2782.816667 46.38028 1.932511574 0.005294552
45 181623 3027.05 50.45083 2.102118056 0.005759228
46 197335 3288.916667 54.81528 2.283969907 0.006257452
47 213877 3564.616667 59.41028 2.475428241 0.006781995
48 231588 3859.8 64.33 2.680416667 0.007343607
49 250197 4169.95 69.49917 2.895798611 0.007933695
50 270037 4500.616667 75.01028 3.125428241 0.008562817
51 290842 4847.366667 80.78944 3.366226852 0.009222539
52 312969 5216.15 86.93583 3.622326389 0.009924182
53 336162 5602.7 93.37833 3.890763889 0.010659627
54 360772 6012.866667 100.2144 4.175601852 0.011440005
55 386523 6442.05 107.3675 4.473645833 0.012256564
56 413755 6895.916667 114.9319 4.788831019 0.013120085
57 442204 7370.066667 122.8344 5.118101852 0.014022197
58 472268 7871.133333 131.1856 5.466064815 0.01497552
59 503629 8393.816667 139.8969 5.829039352 0.015969971
60 536670 8944.5 149.075 6.211458333 0.017017694
61 571089 9518.15 158.6358 6.609826389 0.018109113
62 607331 10122.18333 168.7031 7.029293981 0.01925834
63 645037 10750.61667 179.1769 7.465706019 0.020453989
64 684631 11410.51667 190.1753 7.923969907 0.021709507
65 725775 12096.25 201.6042 8.400173611 0.023014174
66 768961 12816.01667 213.6003 8.900011574 0.024383593
67 813785 13563.08333 226.0514 9.41880787 0.025804953
68 860720 14345.33333 239.0889 9.962037037 0.027293252
69 909382 15156.36667 252.6061 10.52525463 0.028836314
70 960318 16005.3 266.755 11.11479167 0.030451484
71 1013076 16884.6 281.41 11.72541667 0.032124429
72 1068176 17802.93333 296.7156 12.36314815 0.033871639
73 1125192 18753.2 312.5533 13.02305556 0.035679604
74 1184782 19746.36667 329.1061 13.71275463 0.037569191
75 1246273 20771.21667 346.1869 14.42445602 0.039519058
76 1310464 21841.06667 364.0178 15.16740741 0.041554541
77 1376710 22945.16667 382.4194 15.93414352 0.043655188
78 1445727 24095.45 401.5908 16.73295139 0.045843702
79 1516896 25281.6 421.36 17.55666667 0.048100457
80 1591031 26517.18333 441.9531 18.41471065 0.050451262
81 1667420 27790.33333 463.1722 19.29884259 0.052873541
82 1746845 29114.08333 485.2347 20.21811343 0.055392092
83 1828696 30478.26667 507.9711 21.16546296 0.05798757
84 1913650 31894.16667 531.5694 22.14872685 0.060681443
85 2001209 33353.48333 555.8914 23.1621412 0.063457921
86 2092009 34866.81667 581.1136 24.21306713 0.06633717
87 2185378 36422.96667 607.0494 25.29372685 0.069297882
88 2282276 38037.93333 633.9656 26.41523148 0.072370497
89 2381854 39697.56667 661.6261 27.56775463 0.075528095
90 2485031 41417.18333 690.2864 28.76193287 0.078799816
91 2591079 43184.65 719.7442 29.98934028 0.082162576
92 2700875 45014.58333 750.2431 31.26012731 0.085644184
93 2813577 46892.95 781.5492 32.56454861 0.089217941
94 2930174 48836.23333 813.9372 33.91405093 0.092915208
95 3049880 50831.33333 847.1889 35.29953704 0.09671106
96 3173546 52892.43333 881.5406 36.73085648 0.100632484
97 3300440 55007.33333 916.7889 38.19953704 0.104656266
98 3431631 57193.85 953.2308 39.71795139 0.108816305
99 3565988 59433.13333 990.5522 41.27300926 0.113076738
100 3704803 61746.71667 1029.112 42.87966435 0.117478532
101 3846999 64116.65 1068.611 44.52545139 0.121987538
102 3993818 66563.63333 1109.394 46.22474537 0.126643138
103 4144043 69067.38333 1151.123 47.96346065 0.131406742
104 4299055 71650.91667 1194.182 49.75758102 0.13632214
105 4457701 74295.01667 1238.25 51.59376157 0.141352771
106 4621198 77019.96667 1283.666 53.48608796 0.146537227
107 4788563 79809.38333 1330.156 55.42318287 0.151844337
108 4960951 82682.51667 1378.042 57.41841435 0.157310724
109 5137229 85620.48333 1427.008 59.45866898 0.162900463
110 5318815 88646.91667 1477.449 61.5603588 0.168658517
111 5504309 91738.48333 1528.975 63.70728009 0.174540493
112 5695285 94921.41667 1582.024 65.91765046 0.180596303
113 5890419 98173.65 1636.228 68.17614583 0.186783961
114 6091219 101520.3167 1692.005 70.50021991 0.193151287
115 6296190 104936.5 1748.942 72.87256944 0.199650875
116 6507007 108450.1167 1807.502 75.31258102 0.206335838
117 6722257 112037.6167 1867.294 77.80390046 0.213161371
118 6943540 115725.6667 1928.761 80.3650463 0.220178209
119 7169398 119489.9667 1991.499 82.97914352 0.227340119
120 7401214 123353.5667 2055.893 85.66219907 0.234690956
121 7638011 127300.1833 2121.67 88.40290509 0.24219974
122 7880951 131349.1833 2189.153 91.21471065 0.249903317
123 8128887 135481.45 2258.024 94.08434028 0.257765316
124 8383292 139721.5333 2328.692 97.02884259 0.265832445
125 8642702 144045.0333 2400.751 100.0312731 0.274058283
126 8908916 148481.9333 2474.699 103.1124537 0.282499873
127 9180138 153002.3 2550.038 106.2515972 0.291100266
128 9458362 157639.3667 2627.323 109.4717824 0.299922692
129 9742041 162367.35 2706.123 112.7551042 0.308918094
130 10032622 167210.3667 2786.839 116.1183102 0.318132357
131 10328813 172146.8833 2869.115 119.5464468 0.327524512
132 10632258 177204.3 2953.405 123.0585417 0.337146689
133 10941313 182355.2167 3039.254 126.6355671 0.346946759
134 11257985 187633.0833 3127.218 130.3007523 0.356988363
135 11580260 193004.3333 3216.739 134.030787 0.367207636
136 11910360 198506 3308.433 137.8513889 0.377675038
137 12246555 204109.25 3401.821 141.7425347 0.388335712
138 12590449 209840.8167 3497.347 145.7227894 0.399240519
139 12940600 215676.6667 3594.611 149.775463 0.410343734
140 13298831 221647.1833 3694.12 153.9216551 0.421703165
141 13663309 227721.8167 3795.364 158.1401505 0.433260686
142 14036259 233937.65 3898.961 162.4567014 0.445086853
143 14415622 240260.3667 4004.339 166.8474769 0.457116375
144 14803493 246724.8833 4112.081 171.3367245 0.469415684
145 15197942 253299.0333 4221.651 175.9021065 0.481923579
146 15601305 260021.75 4333.696 180.5706597 0.494714136
147 16011416 266856.9333 4447.616 185.3173148 0.507718671
148 16430474 273841.2333 4564.021 190.1675231 0.521006913
149 16856448 280940.8 4682.347 195.0977778 0.53451446
150 17291789 288196.4833 4803.275 200.1364468 0.548319032
151 17734220 295570.3333 4926.172 205.2571759 0.562348427
152 18186046 303100.7667 5051.679 210.4866435 0.576675736
153 18645135 310752.25 5179.204 215.8001736 0.591233352
154 19114053 318567.55 5309.459 221.2274653 0.606102645
155 19590412 326506.8667 5441.781 226.7408796 0.621207889
156 20076625 334610.4167 5576.84 232.3683449 0.636625602
157 20570454 342840.9 5714.015 238.0839583 0.652284817
158 21074587 351243.1167 5854.052 243.918831 0.66827077
159 21586517 359775.2833 5996.255 249.8439468 0.684503964
160 22108771 368479.5167 6141.325 255.8885532 0.701064529
161 22639228 377320.4667 6288.674 262.0281019 0.717885211
162 23180021 386333.6833 6438.895 268.2872801 0.735033644
163 23729202 395486.7 6591.445 274.6435417 0.752448059
164 24289187 404819.7833 6746.996 281.1248495 0.770205067
165 24857754 414295.9 6904.932 287.7054861 0.788234209
166 25437129 423952.15 7065.869 294.4112153 0.806606069
167 26025278 433754.6333 7229.244 301.2184954 0.825256152
168 26624963 443749.3833 7395.823 308.159294 0.844272038
169 27233128 453885.4667 7564.758 315.1982407 0.863556824
170 27853080 464218 7736.967 322.3736111 0.883215373
171 28481949 474699.15 7911.653 329.6521875 0.903156678
172 29122608 485376.8 8089.613 337.0672222 0.923471842
173 29772633 496210.55 8270.176 344.5906597 0.944083999
174 30434443 507240.7167 8454.012 352.2504977 0.965069857
175 31105816 518430.2667 8640.504 360.0210185 0.986358955
176 31789754 529829.2333 8830.487 367.9369676 1.008046487
177 32482929 541382.15 9023.036 375.9598264 1.030026922
178 33188929 553148.8167 9219.147 384.1311227 1.052414035
179 33904631 565077.1833 9417.953 392.4147106 1.075108796
180 34633150 577219.1667 9620.319 400.8466435 1.098209982
181 35371849 589530.8167 9825.514 409.3964005 1.121633974
182 36123631 602060.5167 10034.34 418.097581 1.145472825
183 36885519 614758.65 10245.98 426.9157292 1.169632135
184 37660753 627679.2167 10461.32 435.8883449 1.194214644
185 38446584 640776.4 10679.61 444.9836111 1.219133181
186 39245739 654095.65 10901.59 454.2330903 1.24447422
187 40055702 667595.0333 11126.58 463.607662 1.270157978
188 40879849 681330.8167 11355.51 473.1464005 1.296291508
189 41714421 695240.35 11587.34 482.8057986 1.322755613
190 42563453 709390.8833 11823.18 492.6325579 1.349678241
191 43423421 723723.6833 12062.06 502.5858912 1.376947647
192 44298133 738302.2167 12305.04 512.7098727 1.404684583
193 45183681 753061.35 12551.02 522.9592708 1.432765126
194 46084254 768070.9 12801.18 533.3825694 1.461322108
195 46996189 783269.8167 13054.5 543.9373727 1.490239377
196 47923439 798723.9833 13312.07 554.6694329 1.519642282
197 48861942 814365.7 13572.76 565.5317361 1.549402017
198 49816046 830267.4333 13837.79 576.5746065 1.579656456
199 50781945 846365.75 14106.1 587.7539931 1.610284912
200 51763739 862728.9833 14378.82 599.1173495 1.641417396
201 52757212 879286.8667 14654.78 610.6158796 1.672920218
202 53766871 896114.5167 14935.24 622.3017477 1.704936295
203 54788766 913146.1 15219.1 634.1292361 1.737340373
204 55827146 930452.4333 15507.54 646.1475231 1.770267187
205 56877989 947966.4833 15799.44 658.3100579 1.8035892
206 57944910 965748.5 16095.81 670.6586806 1.837421043
207 59025225 983753.75 16395.9 683.1623264 1.871677607
208 60121910 1002031.833 16700.53 695.8554398 1.90645326
209 61231869 1020531.15 17008.85 708.7021875 1.941649829
210 62358851 1039314.183 17321.9 721.7459606 1.977386194
211 63498976 1058316.267 17638.6 734.9418519 2.01353932
212 64656422 1077607.033 17960.12 748.3382176 2.050241692
213 65827614 1097126.9 18285.45 761.8936806 2.087379947
214 67016432 1116940.533 18615.68 775.6531481 2.125077118
215 68218856 1136980.933 18949.68 789.5700926 2.163205733
216 69439593 1157326.55 19288.78 803.6989931 2.201915049
217 70674175 1177902.917 19631.72 817.9881366 2.241063388
218 71926994 1198783.233 19979.72 832.4883565 2.280790018
219 73193892 1219898.2 20331.64 847.1515278 2.32096309
220 74479332 1241322.2 20688.7 862.0293056 2.361724125
221 75779488 1262991.467 21049.86 877.0774074 2.402951801
222 77098502 1284975.033 21416.25 892.3437731 2.444777461
223 78432482 1307208.033 21786.8 907.7833565 2.487077689
224 79785225 1329753.75 22162.56 923.4401042 2.529972888
225 81153180 1352553 22542.55 939.2729167 2.573350457
226 82540623 1375677.05 22927.95 955.3312847 2.617345986
227 83943110 1399051.833 23317.53 971.5637731 2.661818557
228 85365827 1422763.783 23712.73 988.0304051 2.706932617
229 86803836 1446730.6 24112.18 1004.674028 2.752531583
230 88261975 1471032.917 24517.22 1021.550637 2.798768867
231 89735650 1495594.167 24926.57 1038.60706 2.845498795
232 91230214 1520503.567 25341.73 1055.905255 2.892891109
233 92740568 1545676.133 25761.27 1073.386204 2.94078412
234 94271702 1571195.033 26186.58 1091.107662 2.98933606
235 95818873 1596981.217 26616.35 1109.014734 3.038396531
236 97387601 1623126.683 27052.11 1127.171308 3.08814057
237 98972168 1649536.133 27492.27 1145.511204 3.138386859
238 100578626 1676310.433 27938.51 1164.104468 3.189327308
239 102202094 1703368.233 28389.47 1182.894606 3.240807141
240 103847337 1730788.95 28846.48 1201.936771 3.292977454
241 105508917 1758481.95 29308.03 1221.168021 3.345665811
242 107193544 1786559.067 29775.98 1240.666019 3.399084982
243 108894764 1814912.733 30248.55 1260.356065 3.453030315
244 110618907 1843648.45 30727.47 1280.311424 3.50770253
245 112360376 1872672.933 31211.22 1300.467315 3.56292415
246 114124631 1902077.183 31701.29 1320.886933 3.618868309
247 115906471 1931774.517 32196.24 1341.510081 3.675370085
248 117711932 1961865.533 32697.76 1362.40662 3.732620878
249 119535246 1992254.1 33204.24 1383.509792 3.790437785
250 121382035 2023033.917 33717.23 1404.884664 3.84899908
251 123246938 2054115.633 34235.26 1426.46919 3.908134767
252 125136170 2085602.833 34760.05 1448.335301 3.96804192
253 127043789 2117396.483 35289.94 1470.414225 4.028532122
254 128975579 2149592.983 35826.55 1492.772905 4.089788781
255 130926544 2182109.067 36368.48 1515.353519 4.151653475
256 132901511 2215025.183 36917.09 1538.211933 4.214279268
257 134895928 2248265.467 37471.09 1561.295463 4.277521816
258 136915756 2281929.267 38032.15 1584.673102 4.341570142
259 138954253 2315904.217 38598.4 1608.266817 4.406210458
260 141018522 2350308.7 39171.81 1632.158819 4.471667998
261 143102268 2385037.8 39750.63 1656.27625 4.537743151
262 145211609 2420193.483 40336.56 1680.689919 4.604629915
263 147341251 2455687.517 40928.13 1705.338553 4.67216042
264 149496299 2491604.983 41526.75 1730.281238 4.740496544
265 151671931 2527865.517 42131.09 1755.462164 4.809485382
266 153874446 2564574.1 42742.9 1780.954236 4.879326674
267 156096713 2601611.883 43360.2 1806.674919 4.949794299
268 158346232 2639103.867 43985.06 1832.711019 5.021126078
269 160616349 2676939.15 44615.65 1858.985521 5.093111016
270 162913520 2715225.333 45253.76 1885.573148 5.165953831
271 165232151 2753869.183 45897.82 1912.409155 5.239477137
272 167578212 2792970.2 46549.5 1939.562639 5.313870244
273 169945441 2832424.017 47207.07 1966.961123 5.388934583
274 172340469 2872341.15 47872.35 1994.681354 5.464880422
275 174757546 2912625.767 48543.76 2022.656782 5.541525431
276 177202802 2953380.033 49223 2050.958356 5.61906399
277 179669804 2994496.733 49908.28 2079.51162 5.697292111
278 182165359 3036089.317 50601.49 2108.395359 5.776425641
279 184683560 3078059.333 51300.99 2137.541204 5.85627727
280 187230081 3120501.35 52008.36 2167.014826 5.937026922
281 189800169 3163336.15 52722.27 2196.761215 6.018523877
282 192398954 3206649.233 53444.15 2226.839745 6.100930809
283 195020991 3250349.85 54172.5 2257.187396 6.184075057
284 197672100 3294535 54908.92 2287.871528 6.268141172
285 200347399 3339123.317 55652.06 2318.835637 6.352974347
286 203052153 3384202.55 56403.38 2350.14066 6.438741533
287 205780770 3429679.5 57161.33 2381.721875 6.525265411
288 208539869 3475664.483 57927.74 2413.655891 6.612755866
289 211322491 3522041.517 58700.69 2445.862164 6.700992231
290 214135983 3568933.05 59482.22 2478.425729 6.790207477
291 216973958 3616232.633 60270.54 2511.272662 6.880199074
292 219843202 3664053.367 61067.56 2544.481505 6.971182204
293 222736575 3712276.25 61871.27 2577.969618 7.06293046
294 225661609 3761026.817 62683.78 2611.824178 7.15568268
295 228611752 3810195.867 63503.26 2645.969352 7.249231101
296 231593961 3859899.35 64331.66 2680.48566 7.343796328
297 234600912 3910015.2 65166.92 2715.288333 7.439146119
298 237641017 3960683.617 66011.39 2750.474734 7.535547216
299 240705481 4011758.017 66862.63 2785.943067 7.632720732
300 243803508 4063391.8 67723.2 2821.799861 7.730958524
301 246927602 4115460.033 68591 2857.958356 7.830022894
302 250084267 4168071.117 69467.85 2894.493831 7.930120085
303 253267318 4221121.967 70352.03 2931.334699 8.03105397
304 256484053 4274734.217 71245.57 2968.565428 8.133055968
305 259726779 4328779.65 72146.33 3006.096979 8.235882135
306 263004322 4383405.367 73056.76 3044.031505 8.339812341
307 266307446 4438457.433 73974.29 3082.262106 8.444553716
308 269645804 4494096.733 74901.61 3120.900509 8.550412354
309 273011528 4550192.133 75836.54 3159.855648 8.657138762
310 276411436 4606857.267 76780.95 3199.206435 8.764949137
311 279839033 4663983.883 77733.06 3238.877697 8.873637525
312 283301972 4721699.533 78694.99 3278.958009 8.983446601
313 286792179 4779869.65 79664.49 3319.353924 9.094120339
314 290318903 4838648.383 80644.14 3360.172488 9.205952023
315 293873224 4897887.067 81631.45 3401.310463 9.318658803
316 297463728 4957728.8 82628.81 3442.867222 9.432512938
317 301082149 5018035.817 83633.93 3484.747095 9.547252315
318 304737953 5078965.883 84649.43 3527.059641 9.663177099
319 308421222 5140353.7 85672.56 3569.690069 9.779972793
320 312143092 5202384.867 86706.41 3612.767269 9.897992516
321 315892753 5264879.217 87747.99 3656.166123 10.01689349
322 319679873 5327997.883 88799.96 3699.99853 10.13698227
323 323496695 5391611.583 89860.19 3744.174711 10.25801291
324 327351411 5455856.85 90930.95 3788.789479 10.38024515
325 331236176 5520602.933 92010.05 3833.752037 10.50343024
326 335158458 5585974.3 93099.57 3879.148819 10.62780498
327 339111128 5651852.133 94197.54 3924.897315 10.75314333
328 343102561 5718376.017 95306.27 3971.094456 10.87971084
329 347124732 5785412.2 96423.54 4017.647361 11.00725304
330 351185276 5853087.933 97551.47 4064.644398 11.13601205
331 355276901 5921281.683 98688.03 4112.001169 11.26575663
332 359409011 5990150.183 99835.84 4159.826516 11.39678498
333 363570869 6059514.483 100991.9 4207.996169 11.52875663
334 367773660 6129561 102159.4 4256.639583 11.66202626
335 372007383 6200123.05 103335.4 4305.641007 11.79627673
336 376281637 6271360.617 104522.7 4355.111539 11.93181244
337 380587162 6343119.367 105718.7 4404.944005 12.06833974
338 384934531 6415575.517 106926.3 4455.260775 12.20619391
339 389313521 6488558.683 108142.6 4505.94353 12.34505077
340 393733939 6562232.317 109370.5 4557.105775 12.4852213
341 398187204 6636453.4 110607.6 4608.648194 12.62643341
342 402681464 6711357.733 111856 4660.665093 12.76894546
343 407208925 6786815.417 113113.6 4713.066262 12.91251031
344 411778720 6862978.667 114383 4765.957407 13.05741755
345 416382081 6939701.35 115661.7 4819.237049 13.20338917
346 421028237 7017137.283 116952.3 4873.012002 13.35071781
347 425707411 7095123.517 118252.1 4927.169109 13.49909345
348 430429835 7173830.583 119563.8 4981.826794 13.64884053
349 435185626 7253093.767 120884.9 5036.870671 13.79964567
350 439986051 7333100.85 122218.3 5092.431146 13.95186615
351 444820203 7413670.05 123561.2 5148.381979 14.10515611
352 449698529 7494975.483 124916.3 5204.844086 14.25984681
353 454611879 7576864.65 126281.1 5261.711563 14.41564812
354 459569872 7659497.867 127658.3 5319.095741 14.57286504
355 464562310 7742705.167 129045.1 5376.878588 14.73117421
356 469599855 7826664.25 130444.4 5435.183507 14.89091372
357 474673163 7911219.383 131853.7 5493.90235 15.05178726
358 479791085 7996518.083 133275.3 5553.137558 15.2140755
359 484945137 8082418.95 134707 5612.790938 15.37750942
360 490146217 8169103.617 136151.7 5672.988623 15.54243458
361 495381851 8256364.183 137606.1 5733.586238 15.70845545
362 500664992 8344416.533 139073.6 5794.733704 15.87598275
363 505984031 8433067.183 140551.1 5856.296655 16.04464837
364 511351069 8522517.817 142042 5918.41515 16.21483603
365 516753375 8612556.25 143542.6 5980.94184 16.38614203
366 522204164 8703402.733 145056.7 6044.029676 16.55898541
367 527691589 8794859.817 146581 6107.541539 16.73299052
368 533227993 8887133.217 148118.9 6171.620289 16.90854874
369 538800387 8980006.45 149666.8 6236.11559 17.08524819
370 544422248 9073704.133 151228.4 6301.183426 17.26351624
371 550081490 9168024.833 152800.4 6366.683912 17.44296962
372 555790701 9263178.35 154386.3 6432.762743 17.62400752
373 561536630 9358943.833 155982.4 6499.266551 17.80620973
374 567333020 9455550.333 157592.5 6566.354398 17.99001205
375 573167543 9552792.383 159213.2 6633.8836 18.17502356
376 579053034 9650883.9 160848.1 6702.002708 18.36165126
377 584975976 9749599.6 162493.3 6770.555278 18.54946651
378 590950385 9849173.083 164152.9 6839.70353 18.73891378
379 596963684 9949394.733 165823.2 6909.301898 18.92959424
380 603028959 10050482.65 167508 6979.50184 19.12192285
381 609133512 10152225.2 169203.8 7050.156389 19.31549696
382 615288374 10254806.23 170913.4 7121.393218 19.51066635
383 621485073 10358084.55 172634.7 7193.114271 19.70716239
384 627732575 10462209.58 174370.2 7265.423322 19.90526937
385 634021218 10567020.3 176117 7338.208542 20.10468094
386 640362262 10672704.37 177878.4 7411.600255 20.30575412
387 646743735 10779062.25 179651 7485.459896 20.5081093
388 653178106 10886301.77 181438.4 7559.931782 20.71214187
389 659654417 10994240.28 183237.3 7634.889086 20.91750434
390 666184138 11103068.97 185051.1 7710.46456 21.12456044
391 672755066 11212584.43 186876.4 7786.516968 21.3329232
392 679381051 11323017.52 188717 7863.206609 21.5430318
393 686048641 11434144.02 190569.1 7940.377789 21.7544597
394 692770661 11546177.68 192436.3 8018.178947 21.96761355
395 699534675 11658911.25 194315.2 8096.466146 22.18209903
396 706353626 11772560.43 196209.3 8175.38919 22.39832655
397 713216131 11886935.52 198115.6 8254.816331 22.61593515
398 720134093 12002234.88 200037.2 8334.885336 22.83530229
399 727096023 12118267.05 201971.1 8415.463229 23.05606364
400 734112748 12235212.47 203920.2 8496.675324 23.27856253
401 741173845 12352897.42 205881.6 8578.400984 23.50246845
402 748291436 12471523.93 207858.7 8660.780509 23.72816578
403 755452615 12590876.92 209847.9 8743.664525 23.95524528
404 762672012 12711200.2 211853.3 8827.222361 24.18417085
405 769935405 12832256.75 213870.9 8911.28941 24.41449153
406 777256338 12954272.3 215904.5 8996.022431 24.6466368
407 784621666 13077027.77 217950.5 9081.269282 24.88018981
408 792046285 13200771.42 220012.9 9167.202373 25.11562294
409 799515709 13325261.82 222087.7 9253.654039 25.35247682
410 807043729 13450728.82 224178.8 9340.7839 25.59118877
411 814616957 13576949.28 226282.5 9428.437002 25.83133425
412 822250558 13704175.97 228402.9 9516.788866 26.07339415
413 829929782 13832163.03 230536.1 9605.668773 26.31690075
414 837668665 13961144.42 232685.7 9695.239178 26.56229912
415 845453576 14090892.93 234848.2 9785.342315 26.80915703
416 853299951 14221665.85 237027.8 9876.15684 27.05796395
417 861192774 14353212.9 239220.2 9967.508958 27.30824372
418 869146328 14485772.13 241429.5 10059.56398 27.56044926
419 877146739 14619112.32 243651.9 10152.16133 27.81414063
420 885209713 14753495.22 245891.6 10245.48279 28.06981586
421 893319965 14888666.08 248144.4 10339.35145 28.32699027
422 901492031 15024867.18 250414.5 10433.93554 28.58612478
423 909711788 15161863.13 252697.7 10529.07162 28.84677156
424 917995216 15299920.27 254998.7 10624.94463 29.10943734
425 926326761 15438779.35 257313 10721.37455 29.3736289
426 934721210 15578686.83 259644.8 10818.53252 29.63981513
427 943165528 15719425.47 261990.4 10916.26769 29.9075827
428 951671962 15861199.37 264353.3 11014.72178 30.17731995
429 960228694 16003811.57 266730.2 11113.75803 30.44865214
430 968849430 16147490.5 269124.8 11213.53507 30.72201389
431 977520906 16292015.1 271533.6 11313.89938 30.99698459
432 986256944 16437615.73 273960.3 11415.01093 31.27400254
433 995042796 16584046.6 276400.8 11516.69903 31.55260008
434 1003893759 16731562.65 278859.4 11619.14073 31.83326227
435 1012794957 16879915.95 281331.9 11722.16385 32.11551741
436 1021763208 17029386.8 283823.1 11825.96306 32.39989878
437 1030782131 17179702.18 286328.4 11930.34874 32.68588695
438 1039867282 17331121.37 288852 12035.50095 32.9739752
439 1049004938 17483415.63 291390.3 12141.26086 33.26372837
440 1058209390 17636823.17 293947.1 12247.79387 33.55559963
441 1067465379 17791089.65 296518.2 12354.92337 33.84910512
442 1076788722 17946478.7 299108 12462.83243 34.14474639
443 1086165463 18102757.72 301712.6 12571.35953 34.44208089
444 1095608694 18260144.9 304335.7 12680.65618 34.74152378
445 1105105765 18418429.42 306973.8 12790.57598 35.04267393
446 1114672773 18577879.55 309631.3 12901.30524 35.34604176
447 1124291181 18738186.35 312303.1 13012.62941 35.65103948
448 1133980103 18899668.38 314994.5 13124.76971 35.95827318
449 1143722314 19062038.57 317700.6 13237.52678 36.26719666
450 1153534157 19225569.28 320426.2 13351.08978 36.57832816
451 1163401204 19390020.07 323167 13465.29171 36.89121017
452 1173338464 19555641.07 325927.4 13580.3063 37.20631862
453 1183329899 19722164.98 328702.7 13695.94791 37.52314495
454 1193392119 19889868.65 331497.8 13812.40878 37.84221585
455 1203510455 20058507.58 334308.5 13929.51916 38.16306618
456 1213700162 20228336.03 337138.9 14047.45558 38.48617967
457 1223944936 20399082.27 339984.7 14166.02935 38.81103932
458 1234261657 20571027.62 342850.5 14285.43584 39.1381804
459 1244635414 20743923.57 345732.1 14405.50248 39.46713007
460 1255081708 20918028.47 348633.8 14526.40866 39.79837988
461 1265583968 21093066.13 351551.1 14647.96259 40.13140436
462 1276159345 21269322.42 354488.7 14770.36279 40.46674737
463 1286792686 21446544.77 357442.4 14893.43387 40.8039284
464 1297499738 21624995.63 360416.6 15017.35808 41.14344679
465 1308263663 21804394.38 363406.6 15141.94054 41.48476861
466 1319103453 21985057.55 366417.6 15267.40108 41.8284961
467 1329999003 22166650.05 369444.2 15393.50698 42.17399172
468 1340971016 22349516.93 372491.9 15520.49787 42.52191197
469 1352000815 22533346.92 375555.8 15648.15758 42.87166461
470 1363107691 22718461.52 378641 15776.70939 43.22386133
471 1374272820 22904547 381742.5 15905.93542 43.57790525
472 1385512427 23091873.78 384864.6 16036.02346 43.93431085
473 1396813955 23280232.58 388003.9 16166.82818 44.29267995
474 1408190554 23469842.57 391164 16298.50178 44.65342954
475 1419627942 23660465.7 394341.1 16430.87896 45.01610674
476 1431142617 23852376.95 397539.6 16564.15066 45.38123468
477 1442716925 24045282.08 400754.7 16698.11256 45.74825358
478 1454370762 24239512.7 403991.9 16832.99493 46.11779433
479 1466083053 24434717.55 407245.3 16968.55385 46.48918864
480 1477875486 24631258.1 410521 17105.04035 46.86312424
481 1489730148 24828835.8 413813.9 17242.24708 47.23903311
482 1501662251 25027704.18 417128.4 17380.35013 47.61739761
483 1513657061 25227617.68 420460.3 17519.17895 47.99775054
484 1525731584 25428859.73 423814.3 17658.93037 48.38063115
485 1537867615 25631126.92 427185.4 17799.39369 48.76546217
486 1550085662 25834761.03 430579.4 17940.80627 49.1528939
487 1562365695 26039428.25 433990.5 18082.93628 49.54229119
488 1574726670 26245444.5 437424.1 18226.00313 49.93425514
489 1587150098 26452501.63 440875 18369.7928 50.32819945
490 1599655079 26660917.98 444348.6 18514.52638 50.7247298
491 1612224711 26870411.85 447840.2 18660.00823 51.12331022
492 1624876521 27081275.35 451354.6 18806.44122 51.52449648
493 1637593478 27293224.63 454887.1 18953.62822 51.92774854
494 1650391494 27506524.9 458442.1 19101.7534 52.33357097
495 1663255144 27720919.07 462015.3 19250.63824 52.74147463
496 1676202217 27936703.62 465611.7 19400.48862 53.15202362
497 1689215424 28153590.4 469226.5 19551.10444 53.56466971
498 1702310912 28371848.53 472864.1 19702.67259 53.97992491
499 1715473024 28591217.07 476520.3 19855.01185 54.39729274
500 1728719812 28811996.87 480199.9 20008.33116 54.81734564
501 1742033728 29033895.47 483898.3 20162.42741 55.23952714
502 1755431156 29257185.93 487619.8 20317.49023 55.6643568
503 1768896206 29481603.43 491360.1 20473.33572 56.09133073
504 1782447193 29707453.22 495124.2 20630.17584 56.52102971
505 1796066309 29934438.48 498907.3 20787.8045 56.95288905
506 1809770176 30162836.27 502713.9 20946.41407 57.38743582
507 1823542669 30392377.82 506539.6 21105.81793 57.82415871
508 1837402370 30623372.83 510389.5 21266.23113 58.26364694
509 1851331207 30855520.12 514258.7 21427.44453 58.70532747
510 1865346045 31089100.75 518151.7 21589.6533 59.14973506
511 1879430518 31323841.97 522064 21752.66803 59.59635077
512 1893603479 31560057.98 526001 21916.70693 60.04577242
513 1907846590 31797443.17 529957.4 22081.55775 60.49741851
514 1922178838 32036313.97 533938.6 22247.44025 60.95189111
515 1936579867 32276331.12 537938.9 22414.11883 61.40854474
516 1951070671 32517844.52 541964.1 22581.83647 61.86804512
517 1965630747 32760512.45 546008.5 22750.35587 62.3297421
518 1980283146 33004719.1 550078.7 22919.94382 62.79436663
519 1995005322 33250088.7 554168.1 23090.33938 63.26120377
520 2009818571 33496976.18 558282.9 23261.78902 63.73092881
521 2024704019 33745066.98 562417.8 23434.07429 64.20294327
522 2039679265 33994654.42 566577.6 23607.3989 64.67780521
523 2054727219 34245453.65 570757.6 23781.56503 65.1549727
524 2069869499 34497824.98 574963.7 23956.82291 65.63513125
525 2085081118 34751351.97 579189.2 24132.88331 66.11748852
526 2100387725 35006462.08 583441 24310.04311 66.60285785
527 2115766125 35262768.75 587712.8 24488.03385 67.09050371
528 2131238217 35520636.95 592010.6 24667.10899 67.58112053
529 2146784586 35779743.1 596329.1 24847.04382 68.07409266
530 2162425313 36040421.88 600673.7 25028.07075 68.57005686
531 2178138851 36302314.18 605038.6 25209.94041 69.06832988
532 2193947404 36565790.07 609429.8 25392.90977 69.5696158
533 2209829272 36830487.87 613841.5 25576.72769 70.07322653
534 2225808829 37096813.82 618280.2 25761.67626 70.57993496
535 2241862221 37364370.35 622739.5 25947.47941 71.08898468
536 2258013989 37633566.48 627226.1 26134.42117 71.60115389
537 2274238077 37903967.95 631732.8 26322.19997 72.11561634
538 2290561218 38176020.3 636267 26511.12521 72.63321975
539 2306959224 38449320.4 640822 26700.91694 73.15319711
540 2323454917 38724248.62 645404.1 26891.83932 73.6762721
541 2340028052 39000467.53 650007.8 27083.65801 74.20180277
542 2356699554 39278325.9 654638.8 27276.61521 74.73045263
543 2373446960 39557449.33 659290.8 27470.45093 75.26150939
544 2390293400 39838223.33 663970.4 27665.43287 75.79570649
545 2407218352 40120305.87 668671.8 27861.32352 76.3323932
546 2424243024 40404050.4 673400.8 28058.36833 76.87224201
547 2441344644 40689077.4 678151.3 28256.30375 77.41453082
548 2458546656 40975777.6 682929.6 28455.40111 77.96000304
549 2475828257 41263804.28 687730.1 28655.41964 78.50799902
550 2493210938 41553515.63 692558.6 28856.60808 79.05920022
551 2510671619 41844526.98 697408.8 29058.69929 79.61287478
552 2528236201 42137270.02 702287.8 29261.99307 80.16984402
553 2545877167 42431286.12 707188.1 29466.17091 80.72923538
554 2563622728 42727045.47 712117.4 29671.55935 81.29194343
555 2581447347 43024122.45 717068.7 29877.86281 81.85715839
556 2599377270 43322954.5 722049.2 30085.38507 82.42571252
557 2617386789 43623113.15 727051.9 30293.82858 82.99679062
558 2635497951 43924965.85 732082.8 30503.44851 83.5710918
559 2653693608 44228226.8 737137.1 30714.04639 84.1480723
560 2671991595 44533193.25 742219.9 30925.82865 84.72829766
561 2690372439 44839540.65 747325.7 31138.5699 85.3111504
562 2708858500 45147641.67 752460.7 31352.52894 85.89733955
563 2727425755 45457095.92 757618.3 31567.42772 86.48610334
564 2746098916 45768315.27 762805.3 31783.55227 87.07822539
565 2764856039 46080933.98 768015.6 32000.6486 87.67300986
566 2783719775 46395329.58 773255.5 32218.97888 88.27117501
567 2802668034 46711133.9 778518.9 32438.28743 88.87202036
568 2821721356 47028689.27 783811.5 32658.81199 89.47619723
569 2840859749 47347662.48 789127.7 32880.32117 90.0830717
570 2860106161 47668436.02 794473.9 33103.08057 90.69337142
571 2879435928 47990598.8 799843.3 33326.80472 91.30631431
572 2898876699 48314611.65 805243.5 33551.81365 91.92277711
573 2918399082 48639984.7 810666.4 33777.76715 92.54182782
574 2938033185 48967219.75 816120.3 34005.01372 93.16442114
575 2957754045 49295900.75 821598.3 34233.26441 93.78976551
576 2977582735 49626378.92 827106.3 34462.76314 94.41852914
577 2997498738 49958312.3 832638.5 34693.27243 95.05006145
578 3017525594 50292093.23 838201.6 34925.06475 95.68510889
579 3037637995 50627299.92 843788.3 35157.84716 96.32286894
580 3057864302 50964405.03 849406.8 35391.94794 96.96424093
581 3078176713 51302945.22 855049.1 35627.04529 97.60834326
582 3098601407 51643356.78 860722.6 35863.44221 98.25600606
583 3119112750 51985212.5 866420.2 36100.84201 98.90641648
584 3139739464 52328991.07 872149.9 36339.57713 99.56048529
585 3160453390 52674223.17 877903.7 36579.32164 100.2173196
586 3181281037 53021350.62 883689.2 36820.38237 100.8777599
587 3202196444 53369940.73 889499 37062.45884 101.5409831
588 3223228697 53720478.28 895341.3 37305.8877 102.2079115
589 3244349274 54072487.9 901208.1 37550.33882 102.8776406
590 3265585021 54426417.02 907107 37796.12293 103.5510217
591 3286909645 54781827.42 913030.5 38042.93571 104.2272211
592 3308352597 55139209.95 918986.8 38291.11802 104.9071727
593 3329884994 55498083.23 924968.1 38540.33558 105.5899605
594 3351534018 55858900.3 930981.7 38790.90299 106.2764465
595 3373273042 56221217.37 937020.3 39042.51206 106.9657865
596 3395131885 56585531.42 943092.2 39295.50793 107.6589258
597 3417081300 56951355 949189.3 39549.55208 108.3549372
598 3439148807 57319146.78 955319.1 39804.96304 109.0546933
599 3461309936 57688498.93 961475 40061.45759 109.7574181
600 3483587401 58059790.02 967663.2 40319.29862 110.4638318
601 3505959064 58432651.07 973877.5 40578.22991 111.1732326
602 3528450291 58807504.85 980125.1 40838.54503 111.8864248
603 3551036309 59183938.48 986399 41099.95728 112.6026227
604 3573742638 59562377.3 992706.3 41362.76201 113.3226357
605 3596541816 59942363.6 999039.4 41626.64139 114.0455928
606 3619462039 60324367.32 1005406 41891.92175 114.7723883
607 3642475675 60707927.92 1011799 42158.28328 115.502146
608 3665613654 61093560.9 1018226 42426.08396 116.2358465
609 3688845628 61480760.47 1024679 42694.97255 116.9725275
610 3712200138 61870002.3 1031167 42965.27938 117.7130942
611 3735651796 62260863.27 1037681 43236.7106 118.4567414
612 3759224153 62653735.88 1044229 43509.53881 119.2042159
613 3782894244 63048237.4 1050804 43783.49819 119.9547896
614 3806690977 63444849.62 1057414 44058.92334 120.709379
615 3830580831 63843013.85 1064050 44335.42628 121.4669213
616 3854598088 64243301.47 1070722 44613.4038 122.2285036
617 3878711654 64645194.23 1077420 44892.496 122.9931397
618 3902950762 65049179.37 1084153 45173.04123 123.7617568
619 3927289401 65454823.35 1090914 45454.73844 124.53353
620 3951754347 65862572.45 1097710 45737.89753 125.3093083
621 3976316769 66271946.15 1104532 46022.18483 126.0881776
622 4001006249 66683437.48 1111391 46307.9427 126.8710759
623 4025796462 67096607.7 1118277 46594.86646 127.6571684
624 4050711815 67511863.58 1125198 46883.2386 128.447229
625 4075731191 67928853.18 1132148 47172.81471 129.2405882
626 4100876463 68347941.05 1139132 47463.84795 130.0379396
627 4126123677 68768727.95 1146145 47756.06108 130.8385235
628 4151497527 69191625.45 1153194 48049.7399 131.643123
629 4176973918 69616231.97 1160271 48344.60553 132.4509741
630 4202583158 70043052.63 1167384 48641.00877 133.2630377
631 4228290087 70471501.45 1174525 48938.54267 134.0781991
632 4254130642 70902177.37 1181703 49237.62317 134.8975977
633 4280072214 71334536.9 1188909 49537.87285 135.7201996
634 4306148209 71769136.82 1196152 49839.67834 136.547064
635 4332323050 72205384.17 1203423 50142.62789 137.3770627
636 4358633095 72643884.92 1210731 50447.1423 138.2113488
637 4385048142 73084135.7 1218069 50752.87201 139.0489644
638 4411593611 73526560.18 1225443 51060.11124 139.8907157
639 4438244689 73970744.82 1232846 51368.57279 140.7358159
640 4465026943 74417115.72 1240285 51678.55258 141.5850756
641 4491918238 74865303.97 1247755 51989.79442 142.4377929
642 4518941482 75315691.37 1255262 52302.56345 143.2946944
643 4546071569 75767859.48 1262798 52616.56909 144.1549838
644 4573337211 76222286.85 1270371 52932.14365 145.0195716
645 4600707469 76678457.82 1277974 53248.92904 145.8874768
646 4628214058 77136900.97 1285615 53567.29234 146.759705
647 4655828733 77597145.55 1293286 53886.90663 147.6353606
648 4683580533 78059675.55 1300995 54208.10802 148.5153644
649 4711438163 78523969.38 1308733 54530.53429 149.3987241
650 4739436595 78990609.92 1316510 54854.59022 150.2865485
651 4767538569 79458976.15 1324316 55179.84455 151.1776563
652 4795782145 79929702.42 1332162 55506.73779 152.0732542
653 4824135691 80402261.52 1340038 55834.90383 152.9723393
654 4852625813 80877096.88 1347952 56164.65061 153.8757551
655 4881226526 81353775.43 1355896 56495.67738 154.7826778
656 4909967532 81832792.2 1363880 56828.32792 155.6940491
657 4938816813 82313613.55 1371894 57162.23163 156.6088538
658 4967810137 82796835.62 1379947 57497.80251 157.5282261
659 4996912362 83281872.7 1388031 57834.63382 158.4510516
660 5026156474 83769274.57 1396155 58173.10734 159.3783763
661 5055510095 84258501.58 1404308 58512.84832 160.3091735
662 5085006397 84750106.62 1412502 58854.24071 161.2444951
663 5114615822 85243597.03 1420727 59196.94238 162.1834038
664 5144368741 85739479.02 1428991 59541.30487 163.1268627
665 5174235428 86237257.13 1437288 59886.98412 164.0739291
666 5204243392 86737389.87 1445623 60234.29852 165.0254754
667 5234365756 87239429.27 1453990 60582.93699 165.9806493
668 5264633226 87743887.1 1462398 60933.25493 166.9404245
669 5295012688 88250211.47 1470837 61284.86907 167.9037509
670 5325541122 88759018.7 1479317 61638.20743 168.8718012
671 5356182183 89269703.05 1487828 61992.84934 169.8434229
672 5386969971 89782832.85 1496381 62349.18948 170.8196972
673 5417871005 90297850.08 1504964 62706.84034 171.7995626
674 5448922669 90815377.82 1513590 63066.23459 172.7842044
675 5480088216 91334803.6 1522247 63426.94694 173.7724574
676 5511402121 91856702.02 1530945 63789.3764 174.7654148
677 5542830529 92380508.82 1539675 64153.13112 175.7620031
678 5574411236 92906853.93 1548448 64518.64856 176.7634207
679 5606107088 93435118.13 1557252 64885.4987 177.7684896
680 5637952936 93965882.27 1566098 65254.08491 178.7783148
681 5669914553 94498575.88 1574976 65624.01103 179.791811
682 5702030146 95033835.77 1583897 65995.71928 180.8101898
683 5734262152 95571035.87 1592851 66368.77491 181.83226
684 5766645801 96110763.35 1601846 66743.58566 182.8591388
685 5799146491 96652441.52 1610874 67119.75105 183.8897289
686 5831802842 97196714.03 1619945 67497.71808 184.925255
687 5864576880 97742948 1629049 67877.04722 185.9645129
688 5897504218 98291736.97 1638196 68258.15067 187.008632
689 5930553100 98842551.67 1647376 68640.66088 188.0566051
690 5963752886 99395881.43 1656598 69024.91766 189.1093635
691 5997074867 99951247.78 1665854 69410.58874 190.1659965
692 6030555062 100509251 1675154 69798.091 191.2276466
693 6064151617 101069193.6 1684487 70186.94001 192.2929863
694 6097907231 101631787.2 1693863 70577.62999 193.3633698
695 6131783102 102196385 1703273 70969.71183 194.4375667
696 6165815607 102763593.5 1712727 71363.60656 195.5167303
697 6199972302 103332871.7 1722215 71758.93868 196.599832
698 6234283176 103904719.6 1731745 72156.05528 197.6878227
699 6268718897 104478648.3 1741311 72554.61686 198.7797722
700 6303316254 105055270.9 1750921 72955.04924 199.8768472
701 6338032492 105633874.9 1760565 73356.85755 200.9776919
702 6372911217 106215187 1770253 73760.54649 202.083689
703 6407912796 106798546.6 1779976 74165.65736 203.1935818
704 6443074379 107384573 1789743 74572.62013 204.3085483
705 6478362824 107972713.7 1799545 74981.0512 205.4275375
706 6513808755 108563479.3 1809391 75391.30503 206.5515206
707 6549385595 109156426.6 1819274 75803.07402 207.6796548
708 6585120761 109752012.7 1829200 76216.67547 208.8128095
709 6620980736 110349678.9 1839161 76631.72148 209.9499219
710 6657006664 110950111.1 1849169 77048.68824 211.0922965
711 6693158066 111552634.4 1859211 77467.10725 212.23865
712 6729476303 112157938.4 1869299 77887.45721 213.3902937
713 6765917246 112765287.4 1879421 78309.22738 214.5458285
714 6802525887 113375431.5 1889591 78732.93851 215.7066808
715 6839261324 113987688.7 1899795 79158.11718 216.8715539
716 6876161881 114602698 1910045 79585.20696 218.0416629
717 6913193359 115219889.3 1920331 80013.81203 219.2159234
718 6950390827 115839847.1 1930664 80444.33828 220.3954473
719 6987716417 116461940.3 1941032 80876.34742 221.579034
720 7025208849 117086814.2 1951447 81310.2876 222.7679112
721 7062833568 117713892.8 1961898 81745.75889 223.9609833
722 7100626004 118343766.7 1972396 82183.17134 225.1593735
723 7138547895 118975798.3 1982930 82622.08212 226.3618688
724 7176638359 119610639.3 1993511 83062.94397 227.5697095
725 7214862483 120247708.1 2004128 83505.35281 228.7817885
726 7253256058 120887601 2014793 83949.72289 229.9992408
727 7291780429 121529673.8 2025495 84395.60682 231.2208406
728 7330478683 122174644.7 2036244 84843.50328 232.4479542
729 7369304834 122821747.2 2047029 85292.88002 233.6791234
730 7408305750 123471762.5 2057863 85744.27951 234.9158343
731 7447438808 124123980.1 2068733 86197.20843 236.1567354
732 7486747533 124779125.6 2079652 86652.17052 237.4032069
733 7526189086 125436484.8 2090608 87108.66998 238.6538903
734 7565803584 126096726.4 2101612 87567.17111 239.9100578
735 7605551576 126759192.9 2112653 88027.21731 241.1704584
736 7645473384 127424556.4 2123743 88489.27528 242.4363706
737 7685533010 128092216.8 2134870 88952.92836 243.706653
738 7725767342 128762789 2146046 89418.6035 244.9824753
739 7766136528 129435608.8 2157260 89885.83944 246.2625738
740 7806684974 130111416.2 2168524 90355.15016 247.5483566
741 7847365276 130789421.3 2179824 90825.98699 248.8383205
742 7888225732 131470428.9 2191174 91298.90894 250.1339971
743 7929226117 132153768.6 2202563 91773.45043 251.4341108
744 7970400154 132840002.6 2214000 92250.00178 252.7397309
745 8011714815 133528580.3 2225476 92728.18073 254.0498102
746 8053207726 134220128.8 2237002 93208.42275 255.3655418
747 8094838229 134913970.5 2248566 93690.25728 256.6856364
748 8136651619 135610860.3 2260181 94174.20855 258.0115303
749 8178603300 136310055 2271834 94659.76042 259.3418094
750 8220735016 137012250.3 2283538 95147.39602 260.6777973
751 8263005703 137716761.7 2295279 95636.64008 262.018192
752 8305457311 138424288.5 2307071 96127.97814 263.3643237
753 8348052374 139134206.2 2318903 96620.97655 264.7150042
754 8390829266 139847154.4 2330786 97116.07947 266.0714506
755 8433750334 140562505.6 2342708 97612.85109 267.4324687
756 8476850311 141280838.5 2354681 98111.69341 268.79916
757 8520095167 142001586.1 2366693 98612.21258 270.1704454
758 8563523654 142725394.2 2378757 99114.85711 271.5475537
759 8607097746 143451629.1 2390860 99619.18688 272.9292791
760 8650852515 144180875.3 2403015 100125.6078 274.3167337
761 8694753597 144912560 2415209 100633.7222 275.7088279
762 8738840118 145647335.3 2427456 101143.9828 277.1068023
763 8783073681 146384561.4 2439743 101655.9454 278.5094394
764 8827489696 147124828.3 2452080 102170.0196 279.917862
765 8872053463 147867557.7 2464459 102685.804 281.3309698
766 8916804489 148613408.2 2476890 103203.7557 282.7500155
767 8961703997 149361733.3 2489362 103723.4259 284.1737696
768 9006787743 150113129.1 2501885 104245.2285 285.6033658
769 9052020686 150867011.4 2514450 104768.7579 287.037693
770 9097442714 151624045.2 2527067 105294.4759 288.478016
771 9143014674 152383577.9 2539726 105821.9291 289.9230934
772 9188772665 153146211.1 2552437 106351.5355 291.3740698
773 9234681304 153911355.1 2565189 106882.8855 292.8298232
774 9280780863 154679681.1 2577995 107416.4452 294.2916306
775 9327031810 155450530.2 2590842 107951.7571 295.7582385
776 9373474606 156224576.8 2603743 108489.2894 297.2309299
777 9420065501 157001091.7 2616685 109028.5359 298.7083175
778 9466849159 157780819.3 2629680 109570.0134 300.1918176
779 9513781619 158563027 2642717 110113.2132 301.6800361
780 9560911814 159348530.2 2655809 110658.7016 303.1745248
781 9608191534 160136525.6 2668942 111205.9205 304.6737549
782 9655665869 160927764.5 2682129 111755.392 306.1791562
783 9703294522 161721575.4 2695360 112306.6496 307.6894508
784 9751114632 162518577.2 2708643 112860.1231 309.2058166
785 9799089787 163318163.1 2721969 113415.3911 310.7270988
786 9847265531 164121092.2 2735352 113972.9807 312.2547416
787 9895588838 164926480.6 2748775 114532.2782 313.7870636
788 9944113676 165735227.9 2762254 115093.9083 315.3257761
789 9992790914 166546515.2 2775775 115657.3022 316.8693212
790 10041666493 167361108.2 2789352 116222.9918 318.4191557
791 10090699348 168178322.5 2802972 116790.5017 319.9739773
792 10139927318 168998788.6 2816646 117360.2699 321.534986
793 10189317479 169821958 2830366 117931.9153 323.1011377
794 10238903686 170648394.8 2844140 118505.8297 324.673506
795 10288644453 171477407.6 2857957 119081.533 326.2507754
796 10338590582 172309843 2871831 119659.6132 327.8345568
797 10388692009 173144866.8 2885748 120239.4908 329.4232626
798 10438999770 173983329.5 2899722 120821.7566 331.0185112
799 10489459326 174824322.1 2913739 121405.7792 332.6185732
800 10540126172 175668769.5 2927813 121992.2011 334.2252084
801 10590949774 176515829.6 2941930 122580.4372 335.8368142
802 10641977372 177366289.5 2956105 123171.0344 337.4548888
803 10693166729 178219445.5 2970324 123763.5038 339.0780926
804 10744561042 179076017.4 2984600 124358.3454 340.7077956
805 10796113576 179935226.3 2998920 124955.0182 342.3425157
806 10847872007 180797866.8 3013298 125554.0742 343.9837648
807 10899793706 181663228.4 3027720 126155.0197 345.6301911
808 10951922265 182532037.8 3042201 126758.3595 347.2831768
809 11004210517 183403508.6 3056725 127363.5477 348.9412264
810 11056706576 184278442.9 3071307 127971.1409 350.6058656
811 11109367417 185156123.6 3085935 128580.6414 352.2757299
812 11162237031 186037283.9 3100621 129192.5582 353.9522143
813 11215267818 186921130.3 3115352 129806.3405 355.6338096
814 11268508328 187808472.1 3130141 130422.5501 357.322055
815 11321915141 188698585.7 3144976 131040.6845 359.015574
816 11375532650 189592210.8 3159870 131661.2575 360.715774
817 11429312815 190488546.9 3174809 132283.7131 362.4211319
818 11483309060 191388484.3 3189808 132908.6697 364.1333416
819 11537464276 192291071.3 3204851 133535.4662 365.8505922
820 11591836547 193197275.8 3219955 134164.7748 367.5747256
821 11646377426 194106290.4 3235105 134796.035 369.3042055
822 11701127438 195018790.6 3250313 135429.7157 371.040317
823 11756046816 195934113.6 3265569 136065.3567 372.7817991
824 11811180758 196853012.6 3280884 136703.481 374.5300849
825 11866480343 197774672.4 3296245 137343.5225 376.2836233
826 11921995455 198699924.3 3311665 137986.0585 378.0439959
827 11977681473 199628024.6 3327134 138630.5726 379.809788
828 12033584001 200559733.4 3342662 139277.5926 381.5824455
829 12089653678 201494228 3358237 139926.5472 383.3604033
830 12145945382 202432423 3373874 140578.0716 385.1454015
831 12202404999 203373416.7 3389557 141231.5393 386.9357242
832 12259083080 204318051.3 3405301 141887.5356 388.7329744
833 12315929820 205265497 3421092 142545.484 390.5355727
834 12372995995 206216599.9 3436943 143205.9722 392.3451292
835 12430236178 207170603 3452843 143868.4743 394.1602035
836 12487696788 208128279.8 3468805 144533.5276 395.9822675
837 12545332196 209088869.9 3484814 145200.6041 397.8098743
838 12603184393 210053073.2 3500885 145870.1897 399.6443554
839 12661212159 211020202.7 3517003 146541.8074 401.4844038
840 12719462324 211991038.7 3533184 147215.9991 403.3315044
841 12777884186 212964736.4 3549412 147892.1781 405.1840495
842 12836534099 213942235 3565704 148570.9965 407.0438261
843 12895356484 214922608.1 3582043 149251.8112 408.9090717
844 12954403247 215906720.8 3598445 149935.2228 410.7814322
845 13013623237 216893720.6 3614895 150620.6393 412.6592858
846 13073073303 217884555.1 3631409 151308.7188 414.544435
847 13132697372 218878289.5 3647971 151998.8122 416.4351019
848 13192547808 219875796.8 3664597 152691.5256 418.3329467
849 13252573006 220876216.8 3681270 153386.2616 420.2363333
850 13312830312 221880505.2 3698008 154083.6842 422.1470799
851 13373263162 222887719.4 3714795 154783.1384 424.063393
852 13433924373 223898739.6 3731646 155485.2358 425.9869474
853 13494761888 224912698.1 3748545 156189.3737 427.9160923
854 13555833553 225930559.2 3765509 156896.2217 429.8526621
855 13617082306 226951371.8 3782523 157605.1193 431.7948473
856 13678561425 227976023.8 3799600 158316.6832 433.7443374
857 13740218396 229003639.9 3816727 159030.3055 435.6994671
858 13802111568 230035192.8 3833920 159746.6617 437.6620868
859 13864183378 231069723 3851162 160465.0854 439.6303709
860 13926487566 232108126.1 3868469 161186.1987 441.6060238
861 13988971161 233149519.4 3885825 161909.3884 443.5873656
862 14051693015 234194883.6 3903248 162635.3358 445.5762625
863 14114595065 235243251.1 3920721 163363.3688 447.5708734
864 14177731514 236295525.2 3938259 164094.1147 449.5729171
865 14241053844 237350897.4 3955848 164827.0121 451.580855
866 14304606672 238410111.2 3973502 165562.5772 453.596102
867 14368346174 239472436.2 3991207 166300.3029 455.6172683
868 14432327049 240538784.2 4008980 167040.8223 457.6460886
869 14496485524 241608092.1 4026802 167783.3973 459.6805405
870 14560886399 242681440 4044691 168528.7778 461.7226788
871 14625470605 243757843.4 4062631 169276.2802 463.7706305
872 14690293275 244838221.3 4080637 170026.5425 465.8261439
873 14755305051 245921750.9 4098696 170778.9936 467.8876538
874 14820551315 247009188.6 4116820 171534.1587 469.9565993
875 14885987485 248099791.4 4134997 172291.5218 472.0315666
876 14951669194 249194486.6 4153241 173051.7268 474.11432
877 15017531571 250292192.9 4171537 173814.0228 476.2028022
878 15083640524 251394008.7 4189900 174579.1727 478.2991034
879 15149935968 252498932.8 4208316 175346.4811 480.4013181
880 15216473974 253607899.6 4226798 176116.5969 482.5112244
881 15283204338 254720072.3 4245335 176888.9391 484.6272304
882 15350173210 255836220.2 4263937 177664.0418 486.7507994
883 15417340351 256955672.5 4282595 178441.4392 488.8806555
884 15484747022 258079117 4301319 179221.6091 491.018107
885 15552342559 259205709.3 4320095 180003.9648 493.1615474
886 15620188880 260336481.3 4338941 180789.2231 495.3129401
887 15688224878 261470414.6 4357840 181576.6768 497.4703475
888 15756512726 262608545.4 4376809 182367.0454 499.6357409
889 15824985893 263749764.9 4395829 183159.5589 501.8070108
890 15893711961 264895199.4 4414920 183954.9995 503.9863001
891 15962629306 266043821.8 4434064 184752.654 506.1716548
892 16031800624 267196677.1 4453278 185553.248 508.3650629
893 16101158823 268352647.1 4472544 186356.0049 510.564397
894 16170772047 269512867.5 4491881 187161.7135 512.7718178
895 16240578157 270676302.6 4511272 187969.6546 514.9853551
896 16310640369 271844006.2 4530733 188780.5598 517.2070132
897 16380891030 273014850.5 4550248 189593.6462 519.4346471
898 16451398850 274189980.8 4569833 190409.7089 521.6704354
899 16522101171 275368352.9 4589473 191228.0228 523.9123913
900 16593061731 276551028.9 4609184 192049.3256 526.1625359
901 16664212314 277736871.9 4628948 192872.8277 528.4187061
902 16735622198 278927036.6 4648784 193699.331 530.6830986
903 16807228204 280120470.1 4668675 194528.1042 532.9537102
904 16879094595 281318243.3 4688637 195359.8911 535.2325785
905 16951157933 282519298.9 4708655 196193.9576 537.5176919
906 17023472036 283724533.9 4728742 197030.9263 539.8107571
907 17095994596 284933243.3 4748887 197870.3078 542.1104324
908 17168768965 286146149.4 4769102 198712.6038 544.4180925
909 17241747277 287362454.6 4789374 199557.2602 546.7322196
910 17314983821 288583063.7 4809718 200404.9053 549.0545352
911 17388419750 289806995.8 4830117 201254.8582 551.3831732
912 17462114960 291035249.3 4850587 202107.812 553.720033
913 17536015793 292266929.9 4871115 202963.1458 556.063413
914 17610176982 293502949.7 4891716 203821.4928 558.4150489
915 17684539194 294742319.9 4912372 204682.1666 560.7730592
916 17759168279 295986138 4933102 205545.9292 563.1395319
917 17833999221 297233320.4 4953889 206412.028 565.5124055
918 17909092649 298484877.5 4974748 207281.1649 567.8936025
919 17984388748 299739812.5 4995664 208152.6475 570.2812262
920 18059948390 300999139.8 5016652 209027.1804 572.6772067
921 18135717037 302261950.6 5037699 209904.1324 575.0798147
922 18211750308 303529171.8 5058820 210784.1471 577.4908139
923 18287993443 304799890.7 5079998 211666.5908 579.9084679
924 18364496735 306074945.6 5101249 212552.0455 582.3343714
925 18441210731 307353512.2 5122559 213439.939 584.7669562
926 18518191498 308636525 5143942 214330.9201 587.2080003
927 18595378248 309922970.8 5165383 215224.2853 589.6555761
928 18672838433 311213973.9 5186900 216120.8152 592.1118225
929 18750505442 312508424 5208474 217019.7389 594.5746272
930 18828441379 313807356.3 5230123 217921.7752 597.0459595
931 18906584963 315109749.4 5251829 218826.2148 599.5238763
932 18985004185 316416736.4 5273612 219733.8447 602.0105335
933 19063631902 317727198.4 5295453 220643.8878 604.5038021
934 19142530708 319042178.5 5317370 221557.0684 607.0056668
935 19221638834 320360647.2 5339344 222472.6717 609.514169
936 19301024810 321683746.8 5361396 223391.4909 612.0314818
937 19380615256 323010254.3 5383504 224312.6766 614.5552783
938 19460490361 324341506 5405692 225237.157 617.0881012
939 19540570764 325676179.4 5427936 226164.0135 619.6274342
940 19620931239 327015520.7 5450259 227094.1116 622.1756481
941 19701497819 328358297 5472638 228026.5951 624.7303976
942 19782351328 329705855.5 5495098 228962.3996 627.2942456
943 19863411775 331056862.9 5517614 229900.5992 629.8646555
944 19944754521 332412575.4 5540210 230842.0662 632.444017
945 20026310805 333771846.8 5562864 231786.0047 635.0301498
946 20108144717 335135745.3 5585596 232733.1564 637.6250862
947 20190193001 336503216.7 5608387 233682.7894 640.2268202
948 20272525822 337875430.4 5631257 234635.7155 642.8375768
949 20355073874 339251231.2 5654187 235591.1328 645.4551584
950 20437901750 340631695.8 5677195 236549.7888 648.0816131
951 20520945695 342015761.6 5700263 237510.9455 650.7149193
952 20604276422 343404607 5723410 238475.4216 653.3573193
953 20687824079 344797068 5746618 239442.4083 656.0065981
954 20771653766 346194229.4 5769904 240412.6593 658.6648201
955 20855707126 347595118.8 5793252 241385.4991 661.3301346
956 20940037717 349000628.6 5816677 242361.5477 664.0042401
957 21024592848 350409880.8 5840165 243340.195 666.6854658
958 21109438156 351823969.3 5863733 244322.2009 669.3758928
959 21194497019 353241617 5887360 245306.6785 672.0730917
960 21279847181 354664119.7 5911069 246294.5276 674.7795276
961 21365417692 356090294.9 5934838 247284.927 677.4929507
962 21451274663 357521244.4 5958687 248278.6419 680.2154574
963 21537358825 358955980.4 5982600 249274.9864 682.9451682
964 21623724566 360395409.4 6006590 250274.5899 685.6838079
965 21710324388 361838739.8 6030646 251276.9026 688.4298702
966 21797206893 363286781.6 6054780 252282.4872 691.1848964
967 21884312315 364738538.6 6078976 253290.6518 693.9469912
968 21971713584 366195226.4 6103254 254302.2406 696.7184673
969 22059338647 367655644.1 6127594 255316.4195 699.4970398
970 22147254634 369120910.6 6152015 256333.9657 702.2848375
971 22235401355 370590022.6 6176500 257354.1823 705.0799516
972 22323840134 372064002.2 6201067 258377.7793 707.8843269
973 22412504438 373541740.6 6225696 259403.9866 710.6958536
974 22501461910 375024365.2 6250406 260433.5869 713.5166765
975 22590651898 376510865 6275181 261465.8784 716.3448725
976 22680136192 378002269.9 6300038 262501.5763 719.1824008
977 22769847747 379497462.5 6324958 263539.9045 722.0271356
978 22859854725 380997578.8 6349960 264581.6519 724.8812381
979 22950096004 382501600.1 6375027 265626.1112 727.7427703
980 23040633847 384010564.1 6400176 266674.0029 730.6137065
981 23131400695 385523344.9 6425389 267724.5451 733.4919043
982 23222465226 387041087.1 6450685 268778.5327 736.3795417
983 23313765853 388562764.2 6476046 269835.2529 739.2746656
984 23405365307 390089421.8 6501490 270895.4318 742.1792652
985 23497195517 391619925.3 6526999 271958.2814 745.091182
986 23589325678 393155428 6552590 273024.6028 748.0126103
987 23681693735 394694895.6 6578248 274093.6775 750.9415822
988 23774362893 396239381.6 6603990 275166.2372 753.8801019
989 23867264563 397787742.7 6629796 276241.488 756.8259945
990 23960468460 399341141 6655686 277320.2368 759.7814707
991 24053912061 400898534.4 6681642 278401.76 762.7445479
992 24147659042 402460984 6707683 279486.7945 765.7172451
993 24241640298 404027338.3 6733789 280574.5405 768.6973712
994 24335926067 405598767.8 6759979 281665.811 771.6871533
995 24430453352 407174222.5 6786237 282759.8768 774.6845939
996 24525286307 408754771.8 6812580 283857.4804 777.6917271
997 24620355305 410339255.1 6838988 284957.816 780.7063453
998 24715737515 411928958.6 6865483 286061.7768 783.7308953
999 24811356666 413522611.1 6892044 287168.4799 786.7629587
1000 24907283784 415121396.4 6918690 288278.7475 789.8047877
For \( \left\lfloor \log _{10}\left( {f}'\left( n \right) \right) \right\rfloor \), I made the approximation formula (which is accurate up to n = 31).
\( \left\lfloor \log _{10}\left( {f}'\left( n \right) \right) \right\rfloor \approx \frac{1}{16}\left( 62n^{2}-56n-4\cos \left( \frac{n\pi }{2} \right)+21\cos \left( n\pi \right)-33 \right) \)
which I first showed in
this post .
By using this approximation, we can have
a formula at wolframalpha.
\( \frac{3\text{x3 WR Avg}\text{.}}{\frac{3^{2}}{\ln \left( 3 \right)}\left( 21 \right)}\frac{n^{2}}{\ln \left( n \right)}\frac{1}{16}\left( 62n^{2}-56n-4\cos \left( \frac{n\pi }{2} \right)+21\cos \left( n\pi \right)-33 \right) \)
Note that \( \left\lfloor \log _{10}\left( {f}'\left( 3 \right) \right) \right\rfloor =21 \) with the approximation formula as well as the actual derivative formula (that's where the 21 comes from).
To get values for a certain
n , just change the 2 (located on the far right of the input bar) to a different number in the input bar.
if you change that to the exact wr 7.64 than thats what the formula gives ofcourse 
