The smallest Carmichael numbers with k prime factors:
k | number | factors |
3 | 561 | 3 11 17 |
4 | 41041 | 7 11 13 41 |
5 | 825265 | 5 7 17 19 73 |
6 | 321197185 | 5 19 23 29 37 137 |
7 | 5394826801 | 7 13 17 23 31 67 73 |
8 | 232250619601 | 7 11 13 17 31 37 73 163 |
9 | 9746347772161 | 7 11 13 17 19 31 37 41 641 |
10 | 1436697831295441 | 11 13 19 29 31 37 41 43 71 127 |
11 | 60977817398996785 | 5 7 17 19 23 37 53 73 79 89 233 |
12 | 7156857700403137441 | 11 13 17 19 29 37 41 43 61 97 109 127 |
13 | 1791562810662585767521 | 11 13 17 19 31 37 43 71 73 97 109 113 127 |
14 | 87674969936234821377601 | 7 13 17 19 23 31 37 41 61 67 89 163 193 241 |
15 | 6553130926752006031481761 | 11 13 17 19 29 31 41 43 61 71 73 109 113 127 181 |
16 | 1590231231043178376951698401 |
17 19 23 29 31 37 41 43 61 67 71 73 79 97 113 199 |
17 | 35237869211718889547310642241 |
13 17 19 23 29 31 37 41 43 61 67 71 73 97 113 127 211 |
18 | 32809426840359564991177172754241 |
13 17 19 23 29 31 37 41 43 61 67 71 73 97 127 199 281 397 |
19 | 2810864562635368426005268142616001 |
13 17 19 23 29 31 37 41 43 61 67 71 73 109 113 127 151 281 353 |
20 | 349407515342287435050603204719587201 |
11 13 17 19 29 31 37 41 43 61 71 73 97 101 109 113 151 181 193 641 |
21 | 125861887849639969847638681038680787361 |
13 17 19 23 29 31 37 41 43 61 67 71 73 89 97 113 181 211 241 331 353 |
22 | 12758106140074522771498516740500829830401 |
13 17 19 23 29 31 37 41 43 61 67 71 73 89 97 101 113 127 181 193 211 1153 |
23 | 2333379336546216408131111533710540349903201 |
11 13 17 19 29 31 37 41 43 47 61 71 73 101 109 113 127 139 163 211 337 421 541 |
24 | 294571791067375389885907239089503408618560001 |
11 13 17 19 31 37 41 43 47 59 61 71 73 97 101 109 113 127 151 181 211 251 257 631 |
25 | 130912961974316767723865201454187955056178415601 |
11 13 17 19 29 31 37 41 43 47 61 71 73 101 109 113 127 139 151 181 211 241 281 541 701 |
26 | 13513093081489380840188651246675032067011140079201 |
11 17 19 29 31 37 41 43 47 53 61 71 73 79 97 101 109 127 151 157 163 179 271 281 337 433 |
27 | 7482895937713262392883306949172917048928068129206401 |
13 17 19 23 29 31 37 41 43 61 67 71 73 89 97 101 109 113 127 151 199 211 271 331 337 397 601 |
28 | 1320340354477450170682291329830138947225695029536281601 |
13 17 19 23 29 31 37 41 43 61 67 73 89 97 101 109 113 127 151 181 193 199 211 241 257 281 331 449 |
29 | 379382381447399527322618466130154668512652910714224209601 |
17 19 23 29 31 37 41 43 53 61 67 71 73 79 89 97 101 113 127 131 151 157 181 193 271 281 401 433 547 |
30 | 70416887142533176417390411931483993124120785701395296424001 |
11 17 19 29 31 37 41 43 47 53 61 71 73 79 97 101 109 113 127 131 139 157 163 167 241 313 449 461 487 599 |
31 | 2884167509593581480205474627684686008624483147814647841436801 |
17 19 23 29 31 37 41 43 53 61 67 71 73 79 89 97 101 109 113 127 131 151 157 163 181 199 211 241 271 353 617 |
32 | 4754868377601046732119933839981363081972014948522510826417784001 |
17 19 23 29 31 37 41 43 53 61 67 71 73 79 89 97 101 109 127 131 151 157 181 193 199 211 241 271 313 331 353 937 |
33 | 1334733877147062382486934807105197899496002201113849920496510541601 |
17 19 23 29 31 37 41 43 53 61 67 71 73 79 89 97 101 109 113 127 131 151 157 163 181 211 271 313 331 337 379 401 911 |
34 | 260849323075371835669784094383812120359260783810157225730623388382401 |
17 19 29 31 37 41 43 47 53 61 67 71 73 79 89 97 101 109 113 127 131 139 151 157 163 181 193 211 277 281 353 421 487 829 |
i | N | factors |
5 | 6601 | 7 23 41 |
7 | 561 | 3 11 17 |
18 | 55462177 | 17 23 83 1709 |
18 | 8885251441 | 11 47 1109 15497 |
18 | 42018333841 | 11 47 1049 77477 |
21 | 10585 | 5 29 73 |
22 | 2465 | 5 17 29 |
23 | 1105 | 5 13 17 |
25 | 11921001 | 3 29 263 521 |
31 | 62745 | 3 5 47 89 |
37 | 11972017 | 43 433 643 |
37 | 67902031 | 43 271 5827 |
39 | 334153 | 19 43 409 |
43 | 52633 | 7 73 103 |
44 | 15841 | 7 31 73 |
45 | 8911 | 7 19 67 |
47 | 2821 | 7 13 31 |
48 | 1729 | 7 13 19 |
49 | 1208361237478669 | 53 653 26479 1318579 |
50 | 4199932801 | 29 499 503 577 |
52 | 206955841 | 17 71 277 619 |
53 | 1271325841 | 17 31 179 13477 |
54 | 4169867689 | 13 29 383 28879 |
55 | 271794601 | 13 19 743 1481 |
60 | 6840001 | 7 17 229 251 |
61 | 1962804565 | 5 103 149 25579 |
65 | 1745094470986967126132341 | 109 173 2063 179687 249649359173 |
65 | 365376903642671522645639268043801 | 67 3677 5147 220523477 1306663196317481 |
65 | 844154128953833755776750022681 | 73 599 24989 546558263 1413470422229 |
67 | 410041 | 41 73 137 |
67 | 11985924995083901 | 29 101 1427 16349 175403 |
70 | 162401 | 17 41 233 |
76 | 4752717761 | 11 17 107 173 1373 |
81 | 35575075809505 | 5 197 223 353 458807 |
82 | 1496405933740345 | 5 47 317 40253 499027 |
83 | 142159958924185 | 5 37 107 58379 123017 |
83 | 158664761899885 | 5 37 107 53987 148469 |
83 | 204370370140285 | 5 37 107 48677 212099 |
83 | 24831908105124205 | 5 29 719 3023 78790717 |
83 | 5969360321185871106354001 | 31 251 31583 2146673 11315483219 |
85 | 171189355538562901 | 23 71 983 1031 103437589 |
90 | 3778118040573702001 | 11 47 1051 67967 102302009 |
92 | 520178982961 | 11 29 131 607 20507 |
94 | 12782849065 | 5 7 269 317 4283 |
95 | 8956911601 | 11 17 127 131 2879 |
97 | 5472940991761 | 199 241 863 132233 |
97 | 721574219707441 | 167 241 5039 3557977 |
97 | 9729822470631481 | 127 409 110681 1692407 |
97 | 83565865434172201 | 103 1993 9551 42622169 |
99 | 438253965870337 | 43 139 49409 1484009 |
Carmichael numbers with Lehmer index >= 2.
l(N) | N | factors |
2.001626637356340392561983471 | 3852971941960065 | 3 5 23 89 113 1409 788129 |
2.003883612865346524249604640 | 655510549443465 | 3 5 23 53 389 2663 34607 |
2.008372508329582505406681230 | 13462627333098945 | 3 5 23 53 197 8009 466649 |
2.010009765625000000000000000 | 26708253318968145 | 3 5 17 113 57839 16025297 |
2.030673668032786885245901639 | 269040992399565 | 3 5 23 29 4637 5799149 |
2.032073437462429066076752909 | 158353658932305 | 3 5 17 89 149 563 83177 |
2.036135451167959557221302187 | 1817671359979245 | 3 5 23 29 359 11027 45893 |
2.071377818273530507776492047 | 16057190782234785 | 3 5 17 29 269 6089 1325663 |
2.072936866685888594678744261 | 75131642415974145 | 3 5 23 29 53 617 9857 23297 |
2.081287730823863636363636363 | 881715504450705 | 3 5 17 47 89 113 503 14543 |
2.083805744941863020924916476 | 31454143858820145 | 3 5 17 23 2129 39293 64109 |
2.088936015435896686674307775 | 6128613921672705 | 3 5 17 23 353 7673 385793 |
2.098407897763451927081664691 | 12301576752408945 | 3 5 23 29 53 113 197 1042133 |
2.114322378615702479338842975 | 1886616373665 | 3 5 17 23 83 353 10979 |
2.114933090480187426210153482 | 3193231538989185 | 3 5 17 23 113 167 2927 9857 |
2.139359882439079747328472147 | 11947816523586945 | 3 5 17 23 89 113 233 617 1409 |