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tjwds/index.js

Created May 19, 2022 17:45
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Benford's Law
Raw
index.js
for (let radix = 2; radix <= 36; radix++) {
const results = {};
for (let count = 0; count < 10000; count++) {
const res = Number(String(Math.random()).slice(2)) * Number(String(Math.random()).slice(2));
const lead = res.toString(radix).slice(0, 1);
if (!results[lead]) {
results[lead] = 1;
} else {
results[lead] += 1;
}
}
console.log("---")
Object.keys(results).sort().forEach(key => console.log(key, results[key]))
}
Raw
output.txt
---
1 10000
---
1 6315
2 3685
---
1 4644
2 3111
3 2245
---
1 4607
2 2637
3 1479
4 1277
---
1 3318
2 2409
3 1858
4 1421
5 994
---
1 3680
2 2512
3 1532
4 962
5 643
6 671
---
1 3689
2 1510
3 1189
4 1076
5 932
6 832
7 772
---
1 3722
2 1750
3 993
4 853
5 692
6 719
7 663
8 608
---
1 2376
2 1861
3 1468
4 1197
5 948
6 735
7 589
8 473
9 353
---
1 3050
2 1934
3 1484
4 894
5 572
6 479
7 437
8 408
9 383
a 359
---
1 2998
2 1975
3 1396
4 860
5 511
6 471
7 421
8 360
9 338
a 340
b 330
---
1 2761
2 1771
3 1336
4 1065
5 664
6 521
7 415
8 309
9 325
a 292
b 276
c 265
---
1 2172
2 1503
3 1172
4 912
5 914
6 788
7 591
8 507
9 378
a 317
b 275
c 252
d 219
---
1 2723
2 1217
3 891
4 757
5 662
6 608
7 467
8 420
9 438
a 370
b 366
c 366
d 386
e 329
---
1 2531
2 1867
3 1313
4 753
5 533
6 456
7 384
8 351
9 314
a 297
b 257
c 273
d 235
e 232
f 204
---
1 2063
2 1286
3 987
4 743
5 617
6 594
7 541
8 526
9 482
a 442
b 376
c 337
d 327
e 277
f 225
g 177
---
1 2513
2 1859
3 1065
4 587
5 534
6 416
7 386
8 313
9 352
a 328
b 278
c 284
d 262
e 230
f 209
g 200
h 184
---
1 2021
2 1206
3 909
4 755
5 529
6 502
7 498
8 502
9 469
a 418
b 367
c 336
d 323
e 276
f 275
g 243
h 187
i 184
---
1 2059
2 1666
3 1316
4 897
5 582
6 427
7 378
8 337
9 304
a 266
b 267
c 224
d 244
e 204
f 164
g 170
h 169
i 151
j 175
---
1 2637
2 1177
3 830
4 655
5 529
6 420
7 351
8 330
9 291
a 290
b 279
c 292
d 238
e 252
f 279
g 219
h 221
i 231
j 248
k 231
---
1 1961
2 1104
3 863
4 779
5 738
6 693
7 579
8 494
9 407
a 356
b 312
c 238
d 171
e 195
f 200
g 166
h 166
i 129
j 159
k 150
l 140
---
1 2109
2 1787
3 1091
4 680
5 518
6 408
7 388
8 353
9 306
a 247
b 227
c 229
d 211
e 178
f 175
g 203
h 160
i 161
j 155
k 144
l 124
m 146
---
1 2462
2 1125
3 855
4 642
5 507
6 454
7 376
8 287
9 258
a 211
b 271
c 248
d 233
e 218
f 228
g 211
h 210
i 243
j 208
k 195
l 187
m 204
n 167
---
1 2134
2 1056
3 673
4 574
5 586
6 553
7 511
8 478
9 453
a 419
b 377
c 293
d 294
e 242
f 203
g 179
h 132
i 121
j 139
k 125
l 119
m 121
n 107
o 111
---
1 1740
2 1307
3 1161
4 968
5 694
6 503
7 366
8 324
9 330
a 261
b 208
c 227
d 201
e 189
f 168
g 187
h 170
i 142
j 144
k 121
l 126
m 126
n 124
o 117
p 96
---
1 2753
2 1481
3 704
4 630
5 526
6 466
7 379
8 306
9 283
a 273
b 258
c 169
d 177
e 135
f 157
g 136
h 136
i 151
j 122
k 129
l 110
m 108
n 103
o 108
p 102
q 98
---
1 2028
2 1192
3 811
4 586
5 477
6 335
7 294
8 259
9 258
a 259
b 232
c 254
d 244
e 214
f 252
g 249
h 236
i 224
j 172
k 209
l 209
m 191
n 178
o 178
p 156
q 169
r 134
---
1 1945
2 971
3 604
4 580
5 496
6 488
7 459
8 459
9 466
a 396
b 385
c 295
d 314
e 257
f 232
g 213
h 177
i 128
j 130
k 110
l 130
m 112
n 103
o 128
p 112
q 101
r 109
s 100
---
1 1509
2 1166
3 965
4 888
5 729
6 647
7 446
8 384
9 251
a 225
b 228
c 205
d 240
e 181
f 192
g 186
h 159
i 159
j 135
k 174
l 136
m 142
n 116
o 95
p 105
q 104
r 82
s 69
t 82
---
1 2045
2 1637
3 1088
4 643
5 464
6 419
7 363
8 329
9 307
a 304
b 252
c 221
d 195
e 180
f 135
g 166
h 142
i 140
j 114
k 98
l 106
m 69
n 76
o 75
p 78
q 67
r 79
s 69
t 77
u 62
---
1 2748
2 1025
3 787
4 642
5 528
6 419
7 339
8 277
9 255
a 182
b 173
c 151
d 139
e 143
f 150
g 154
h 135
i 143
j 131
k 157
l 134
m 134
n 129
o 117
p 113
q 132
r 101
s 100
t 123
u 133
v 106
---
1 1812
2 1123
3 774
4 557
5 368
6 295
7 280
8 261
9 261
a 236
b 238
c 239
d 245
e 225
f 206
g 238
h 209
i 210
j 200
k 207
l 202
m 189
n 172
o 171
p 162
q 163
r 145
s 129
t 147
u 114
v 116
w 106
---
1 2012
2 996
3 537
4 466
5 446
6 432
7 404
8 383
9 391
a 397
b 354
c 320
d 301
e 241
f 234
g 215
h 205
i 171
j 159
k 145
l 104
m 123
n 93
o 92
p 97
q 90
r 79
s 97
t 98
u 80
v 75
w 92
x 71
---
1 1526
2 826
3 742
4 716
5 665
6 579
7 545
8 486
9 382
a 318
b 275
c 232
d 167
e 149
f 175
g 148
h 149
i 166
j 145
k 139
l 117
m 127
n 142
o 95
p 114
q 100
r 107
s 110
t 105
u 87
v 93
w 92
x 91
y 90
---
1 1457
2 1272
3 1107
4 930
5 684
6 483
7 292
8 306
9 270
a 243
b 204
c 235
d 217
e 213
f 198
g 139
h 142
i 149
j 144
k 129
l 124
m 118
n 103
o 100
p 114
q 90
r 71
s 63
t 66
u 55
v 69
w 55
x 64
y 51
z 43
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