Created
May 19, 2022 17:45
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Benford's Law
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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])) | |
} |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
--- | |
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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