Délky period převrácených hodnot prvočísel/Statistika/Statistika soustavy o základu 3
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Délky period převrácených hodnot prvočísel patří mezi důležité vlastnosti prvočísel.
Délka periody převrácené hodnoty
[editovat]Na základních školách se v této otázce můžeme někdy setkat s nezcela přesnou a nepřesně vymezující oblast "účinnosti" základní/"kardinální" poučkou: "Délka periody převrácené hodnoty prvočísla je rovna toto prvočíslo mínus jedna." Tyto statistiky mají ukázat míru, do které se tato poučka v reálu naplňuje/nenaplňuje.
Použité symboly, pojmy aj.
[editovat]- k - "kořen" prvočísla, t. j. největší možná délka periody převrácené hodnoty (p - 1)
- kořen (značka: k): k = p - 1. Maximální možná délka periody převrácené hodnoty prvočísla.
- p - značka pro prvočíslo (obecně používaná)
- l - (konkrétní) délka periody převrácené hodnoty prvočísla
- f - w:faktor/prvočíselný rozklad
- k∙l -1 - relativní délka periody převrácené hodnoty prvočísla vzhledem k danému prvočíslu, t. j. kolikráte je kratší, než může maximálně být [v jiné číselné soustavě]
- χ - „charakteristika prvočísla“: faktorizace k napovídá, jakých délek může (a jakých nemůže) dosahovat perioda; χ je nejmenší základ číselné soustavy, ve které je délka periody převrácené hodnoty prvočísla maximální (pokud k je dělitelné čtyřmi [bez hvězdičky]) respektive poloviční, než maximální (to pokud k je dělitelné dvěma, ale ne čtyřmi [označeno hvězdičkou]). V těchto číselných soustavách se dá vypočítat základ číselné soustavy, v níž je l n-krát kratší (resp. seznam takových základů), což v číselné soustavě o jiném základě, kde je l kratší, by bylo podstatně složitější až nemožné.
Tabulka pro první desítku prvočísel
[editovat]Poř. č. |
p10 | f k | k∙l -1 | p3 | χ |
---|---|---|---|---|---|
1 | 2 | 1 | 1 | 2 | 3** |
2 | 3 | 2 | 0 | 10 | 2* |
3 | 5 | 2^2 | 1 | 12 | 2 |
4 | 7 | 2x3 | 1 | 21 | 2* |
5 | 11 | 2x5 | 2 | 102 | 3* |
6 | 13 | 2^2x3 | 4 | 111 | 2 |
7 | 17 | 2^4 | 1 | 122 | 3 |
8 | 19 | 2x3^2 | 1 | 201 | 4* |
9 | 23 | 2x11 | 2 | 212 | 2* |
10 | 29 | 2^2x7 | 1 | 1002 | 2 |
Statistické vyhodnocení (n = 10)
[editovat]- Délka periody = 0 (neperiodický zlomek pouze s jednocifernou předperiodou) - 10 %
- Délka periody maximální: - 60 %
- Délka periody poloviční (k/l = 2) - 20 %
- Délka periody čtvrtinová (k/l = 4) - 10 %
Tabulka pro první stovku prvočísel
[editovat]Poř. č. |
p10 | f k | k∙l -1 | p3 | χ |
---|---|---|---|---|---|
1 | 2 | 1 | 1 | 2 | 3** |
2 | 3 | 2 | 0 | 10 | 2* |
3 | 5 | 2^2 | 1 | 12 | 2 |
4 | 7 | 2x3 | 1 | 21 | 2* |
5 | 11 | 2x5 | 2 | 102 | 3* |
6 | 13 | 2^2x3 | 4 | 111 | 2 |
7 | 17 | 2^4 | 1 | 122 | 3 |
8 | 19 | 2x3^2 | 1 | 201 | 4* |
9 | 23 | 2x11 | 2 | 212 | 2* |
10 | 29 | 2^2x7 | 1 | 1002 | 2 |
11 | 31 | 2x3x5 | 1 | 1011 | 7* |
12 | 37 | 2^2x3^2 | 2 | 1101 | 2 |
13 | 41 | 2^3x5 | 5 | 1112 | 6 |
14 | 43 | 2x3x7 | 1 | 1121 | 9* |
15 | 47 | 2x23 | 2 | 1202 | 2* |
16 | 53 | 2^2x13 | 1 | 1222 | 2 |
17 | 59 | 2x29 | 2 | 2012 | 3* |
18 | 61 | 2^2x3x5 | 6 | 2021 | 2 |
19 | 67 | 2x3x11 | 3 | 2111 | 4* |
20 | 71 | 2x5x7 | 2 | 2122 | 2* |
21 | 73 | 2^3x3^2 | 6 | 2201 | 5 |
22 | 79 | 2x3x13 | 1 | 2221 | 2* |
23 | 83 | 2x41 | 2 | 10002 | 3* |
24 | 89 | 2^3x11 | 1 | 10022 | 3 |
25 | 97 | 2^5x3 | 2 | 10121 | 5 |
26 | 101 | 2^2x5^2 | 1 | 10202 | 2 |
27 | 103 | 2x3x17 | 3 | 10211 | 2* |
28 | 107 | 2x53 | 2 | 10222 | 3* |
29 | 109 | 2^2x3^3 | 4 | 11001 | 6 |
30 | 113 | 2^4x7 | 1 | 11012 | 3 |
31 | 127 | 2x3^2x7 | 1 | 11201 | 9* |
32 | 131 | 2x5x13 | 2 | 11212 | 3* |
33 | 137 | 2^3x17 | 1 | 12002 | 3 |
34 | 139 | 2x3x23 | 1 | 12011 | 4* |
35 | 149 | 2^2x37 | 1 | 12112 | 2 |
36 | 151 | 2x3x5^2 | 3 | 12121 | 5 |
37 | 157 | 2^2x3x13 | 2 | 12211 | 5 |
38 | 163 | 2x3^4 | 1 | 20001 | 4* |
39 | 167 | 2x83 | 2 | 20012 | 2* |
40 | 173 | 2^2x43 | 1 | 20102 | 2 |
41 | 179 | 2x89 | 2 | 20122 | 3* |
42 | 181 | 2^2x3^2x5 | 4 | 20201 | 2 |
43 | 191 | 2x5x19 | 2 | 21002 | 2* |
44 | 193 | 2^6x3 | 12 | 21011 | 5 |
45 | 197 | 2^2x7^2 | 1 | 21022 | 2 |
46 | 199 | 2x3^2x11 | 1 | 21101 | 2* |
47 | 211 | 2x3x5x7 | 1 | 21211 | 4* |
48 | 223 | 2x3x37 | 1 | 22021 | 9* |
49 | 227 | 2x113 | 2 | 22102 | 3* |
50 | 229 | 2^2x3x19 | 4 | 22111 | 6 |
51 | 233 | 2^3x29 | 1 | 22122 | 3 |
52 | 239 | 2x7x17 | 2 | 22212 | 2* |
53 | 241 | 2^4x3x5 | 2 | 22221 | 7 |
54 | 251 | 2x5^3 | 2 | 100022 | 3* |
55 | 257 | 2^8 | 1 | 100112 | 3 |
56 | 263 | 2x131 | 2 | 100202 | 2* |
57 | 269 | 2^2x67 | 1 | 100222 | 2 |
58 | 271 | 2x3^3x5 | 9 | 101001 | 2* |
59 | 277 | 2^2x3x23 | 4 | 101021 | 5 |
60 | 281 | 2^3x5x7 | 1 | 101102 | 3 |
61 | 283 | 2x3x47 | 1 | 101111 | 6* |
62 | 293 | 2^2x73 | 1 | 101212 | 2 |
63 | 307 | 2x3^2x17 | 9 | 102101 | 7* |
64 | 311 | 2x5x31 | 2 | 102112 | 2* |
65 | 313 | 2^3x3x13 | 8 | 102121 | 10 |
66 | 317 | 2^2x79 | 1 | 102202 | 2 |
67 | 331 | 2x3x5x11 | 1 | 110021 | 5* |
68 | 337 | 2^4x3x7 | 2 | 110111 | 10 |
69 | 347 | 2x173 | 2 | 110212 | 3* |
70 | 349 | 2^2x3x29 | 2 | 110221 | 2 |
71 | 353 | 2^5x11 | 1 | 111002 | 3 |
72 | 359 | 2x179 | 2 | 111022 | 2* |
73 | 367 | 2x3x61 | 3 | 111121 | 2* |
74 | 373 | 2^2x3x31 | 2 | 111211 | 2 |
75 | 379 | 2x3^3x7 | 1 | 112001 | 4* |
76 | 383 | 2x191 | 2 | 112012 | 2* |
77 | 389 | 2^2x97 | 1 | 112102 | 2 |
78 | 397 | 2^2x3^2x11 | 2 | 112201 | 5 |
79 | 401 | 2^4x5^2 | 1 | 112212 | 3 |
80 | 409 | 2^3x3x17 | 2 | 120011 | 21 |
81 | 419 | 2x11x19 | 2 | 120112 | 3* |
82 | 421 | 2^2x3x5x7 | 4 | 120121 | 2 |
83 | 431 | 2x5x43 | 10 | 120222 | 5* |
84 | 433 | 2^4x3^3 | 16 | 121001 | 5 |
85 | 439 | 2x3x73 | 3 | 121021 | 5* |
86 | 443 | 2x13x17 | 2 | 121102 | 3* |
87 | 449 | 2^6x7 | 1 | 121122 | 3 |
88 | 457 | 2^3x3x19 | 2 | 121221 | 13 |
89 | 461 | 2^2x5x23 | 1 | 122002 | 2 |
90 | 463 | 2x3x7x11 | 1 | 122011 | 2* |
91 | 467 | 2x233 | 2 | 122022 | 3* |
92 | 479 | 2x239 | 2 | 122202 | 2* |
93 | 487 | 2x3^5 | 1 | 200001 | 2* |
94 | 491 | 2x5x7^2 | 10 | 200012 | 4* |
95 | 499 | 2x3x83 | 3 | 200111 | 5* |
96 | 503 | 2x251 | 2 | 200122 | 2* |
97 | 509 | 2^2x127 | 1 | 200212 | 2 |
98 | 521 | 2^3x5x13 | 1 | 201022 | 3 |
99 | 523 | 2x3^9x29 | 9 | 201101 | 4* |
100 | 541 | 2^2x3^3x5 | 4 | 202001 | 2 |
Statistické vyhodnocení (n = 100)
[editovat]- Délka periody = 0 (neperiodický zlomek pouze s jednocifernou předperiodou) - 1 %
- Délka periody maximální: - 41 %
- Délka periody poloviční (k/l = 2) - 34 %
- Délka periody třetinová (k/l = 3) - 6 %
- Délka periody čtvrtinová (k/l = 4) - 7 %
- Délka periody pětinová (k/l = 5) - 1 %
- Délka periody šestinová (k/l = 6) - 2 %
- Délka periody osminová (k/l = 8) - 1 %
- Délka periody devítinová (k/l = 9) - 3 %
- Délka periody desetinová (k/l = 10) - 2 %
- Délka periody dvanáctinová (k/l = 12) - 1 %
- Délka periody šestnáctinová (k/l = 16) - 2 %
- Délka periody = 1 - 1 %
- Délka periody je kratší, než jedna desetina maximální možné - 3 %
Tabulka pro první tisícovku prvočísel
[editovat]Poř. č. |
p10 | f k | k∙l -1 | p3 | χ |
---|---|---|---|---|---|
1 | 2 | 1 | 1 | 2 | 3** |
2 | 3 | 2 | 0 | 10 | 2* |
3 | 5 | 2^2 | 1 | 12 | 2 |
4 | 7 | 2x3 | 1 | 21 | 2* |
5 | 11 | 2x5 | 2 | 102 | 3* |
6 | 13 | 2^2x3 | 4 | 111 | 2 |
7 | 17 | 2^4 | 1 | 122 | 3 |
8 | 19 | 2x3^2 | 1 | 201 | 4* |
9 | 23 | 2x11 | 2 | 212 | 2* |
10 | 29 | 2^2x7 | 1 | 1002 | 2 |
11 | 31 | 2x3x5 | 1 | 1011 | 7* |
12 | 37 | 2^2x3^2 | 2 | 1101 | 2 |
13 | 41 | 2^3x5 | 5 | 1112 | 6 |
14 | 43 | 2x3x7 | 1 | 1121 | 9* |
15 | 47 | 2x23 | 2 | 1202 | 2* |
16 | 53 | 2^2x13 | 1 | 1222 | 2 |
17 | 59 | 2x29 | 2 | 2012 | 3* |
18 | 61 | 2^2x3x5 | 6 | 2021 | 2 |
19 | 67 | 2x3x11 | 3 | 2111 | 4* |
20 | 71 | 2x5x7 | 2 | 2122 | 2* |
21 | 73 | 2^3x3^2 | 6 | 2201 | 5 |
22 | 79 | 2x3x13 | 1 | 2221 | 2* |
23 | 83 | 2x41 | 2 | 10002 | 3* |
24 | 89 | 2^3x11 | 1 | 10022 | 3 |
25 | 97 | 2^5x3 | 2 | 10121 | 5 |
26 | 101 | 2^2x5^2 | 1 | 10202 | 2 |
27 | 103 | 2x3x17 | 3 | 10211 | 2* |
28 | 107 | 2x53 | 2 | 10222 | 3* |
29 | 109 | 2^2x3^3 | 4 | 11001 | 6 |
30 | 113 | 2^4x7 | 1 | 11012 | 3 |
31 | 127 | 2x3^2x7 | 1 | 11201 | 9* |
32 | 131 | 2x5x13 | 2 | 11212 | 3* |
33 | 137 | 2^3x17 | 1 | 12002 | 3 |
34 | 139 | 2x3x23 | 1 | 12011 | 4* |
35 | 149 | 2^2x37 | 1 | 12112 | 2 |
36 | 151 | 2x3x5^2 | 3 | 12121 | 5 |
37 | 157 | 2^2x3x13 | 2 | 12211 | 5 |
38 | 163 | 2x3^4 | 1 | 20001 | 4* |
39 | 167 | 2x83 | 2 | 20012 | 2* |
40 | 173 | 2^2x43 | 1 | 20102 | 2 |
41 | 179 | 2x89 | 2 | 20122 | 3* |
42 | 181 | 2^2x3^2x5 | 4 | 20201 | 2 |
43 | 191 | 2x5x19 | 2 | 21002 | 2* |
44 | 193 | 2^6x3 | 12 | 21011 | 5 |
45 | 197 | 2^2x7^2 | 1 | 21022 | 2 |
46 | 199 | 2x3^2x11 | 1 | 21101 | 2* |
47 | 211 | 2x3x5x7 | 1 | 21211 | 4* |
48 | 223 | 2x3x37 | 1 | 22021 | 9* |
49 | 227 | 2x113 | 2 | 22102 | 3* |
50 | 229 | 2^2x3x19 | 4 | 22111 | 6 |
51 | 233 | 2^3x29 | 1 | 22122 | 3 |
52 | 239 | 2x7x17 | 2 | 22212 | 2* |
53 | 241 | 2^4x3x5 | 2 | 22221 | 7 |
54 | 251 | 2x5^3 | 2 | 100022 | 3* |
55 | 257 | 2^8 | 1 | 100112 | 3 |
56 | 263 | 2x131 | 2 | 100202 | 2* |
57 | 269 | 2^2x67 | 1 | 100222 | 2 |
58 | 271 | 2x3^3x5 | 9 | 101001 | 2* |
59 | 277 | 2^2x3x23 | 4 | 101021 | 5 |
60 | 281 | 2^3x5x7 | 1 | 101102 | 3 |
61 | 283 | 2x3x47 | 1 | 101111 | 6* |
62 | 293 | 2^2x73 | 1 | 101212 | 2 |
63 | 307 | 2x3^2x17 | 9 | 102101 | 7* |
64 | 311 | 2x5x31 | 2 | 102112 | 2* |
65 | 313 | 2^3x3x13 | 8 | 102121 | 10 |
66 | 317 | 2^2x79 | 1 | 102202 | 2 |
67 | 331 | 2x3x5x11 | 1 | 110021 | 5* |
68 | 337 | 2^4x3x7 | 2 | 110111 | 10 |
69 | 347 | 2x173 | 2 | 110212 | 3* |
70 | 349 | 2^2x3x29 | 2 | 110221 | 2 |
71 | 353 | 2^5x11 | 1 | 111002 | 3 |
72 | 359 | 2x179 | 2 | 111022 | 2* |
73 | 367 | 2x3x61 | 3 | 111121 | 2* |
74 | 373 | 2^2x3x31 | 2 | 111211 | 2 |
75 | 379 | 2x3^3x7 | 1 | 112001 | 4* |
76 | 383 | 2x191 | 2 | 112012 | 2* |
77 | 389 | 2^2x97 | 1 | 112102 | 2 |
78 | 397 | 2^2x3^2x11 | 2 | 112201 | 5 |
79 | 401 | 2^4x5^2 | 1 | 112212 | 3 |
80 | 409 | 2^3x3x17 | 2 | 120011 | 21 |
81 | 419 | 2x11x19 | 2 | 120112 | 3* |
82 | 421 | 2^2x3x5x7 | 4 | 120121 | 2 |
83 | 431 | 2x5x43 | 10 | 120222 | 5* |
84 | 433 | 2^4x3^3 | 16 | 121001 | 5 |
85 | 439 | 2x3x73 | 3 | 121021 | 5* |
86 | 443 | 2x13x17 | 2 | 121102 | 3* |
87 | 449 | 2^6x7 | 1 | 121122 | 3 |
88 | 457 | 2^3x3x19 | 2 | 121221 | 13 |
89 | 461 | 2^2x5x23 | 1 | 122002 | 2 |
90 | 463 | 2x3x7x11 | 1 | 122011 | 2* |
91 | 467 | 2x233 | 2 | 122022 | 3* |
92 | 479 | 2x239 | 2 | 122202 | 2* |
93 | 487 | 2x3^5 | 1 | 200001 | 2* |
94 | 491 | 2x5x7^2 | 10 | 200012 | 4* |
95 | 499 | 2x3x83 | 3 | 200111 | 5* |
96 | 503 | 2x251 | 2 | 200122 | 2* |
97 | 509 | 2^2x127 | 1 | 200212 | 2 |
98 | 521 | 2^3x5x13 | 1 | 201022 | 3 |
99 | 523 | 2x3^9x29 | 9 | 201101 | 4* |
100 | 541 | 2^2x3^3x5 | 4 | 202001 | 2 |
101 | 547 | 2x3x7x13 | 39 | 202021 | 4* |
102 | 557 | 2^2x139 | 1 | 202122 | 2 |
103 | 563 | 2x281 | 2 | 202212 | 3* |
104 | 569 | 2^3x71 | 1 | 210002 | 3 |
105 | 571 | 2x3x5x19 | 1 | 210011 | 5* |
106 | 577 | 2^6x3^2 | 12 | 210101 | 5 |
107 | 587 | 2x293 | 2 | 210202 | 3* |
108 | 593 | 2^4x37 | 1 | 210222 | 3 |
109 | 599 | 2x13x23 | 2 | 211012 | 2* |
110 | 601 | 2^3x3x5^2 | 8 | 211021 | 7 |
111 | 607 | 2x3x101 | 1 | 211111 | 2* |
112 | 613 | 2^2x3^2x17 | 6 | 211201 | 2 |
113 | 617 | 2^3x7x11 | 1 | 211212 | 3 |
114 | 619 | 2x3x103 | 3 | 211221 | 4* |
115 | 631 | 2x3^2x5x7 | 1 | 212101 | 9* |
116 | 641 | 2^7x5 | 1 | 212202 | 3 |
117 | 643 | 2x3x107 | 3 | 212211 | 7* |
118 | 647 | 2x17x19 | 2 | 212222 | 2* |
119 | 653 | 2^2x163 | 1 | 220012 | 2 |
120 | 659 | 2x7x47 | 2 | 220102 | 3* |
121 | 661 | 2^2x3x5x11 | 30 | 220111 | 2 |
122 | 673 | 2^5x3x7 | 4 | 220221 | 5 |
123 | 677 | 2^2x13^2 | 1 | 221002 | 2 |
124 | 683 | 2x11x31 | 22 | 221022 | 10* |
125 | 691 | 2x3x5x23 | 1 | 221121 | 6* |
126 | 701 | 2^2x5^2x7 | 1 | 221222 | 2 |
127 | 709 | 2^2x3x59 | 4 | 222021 | 2 |
128 | 719 | 2x359 | 2 | 222122 | 2* |
129 | 727 | 2x3x11^2 | 3 | 222221 | 7* |
130 | 733 | 2^2x3x61 | 4 | 1000011 | 6 |
131 | 739 | 2x3^2x41 | 1 | 1000101 | 6* |
132 | 743 | 2x7x53 | 2 | 1000112 | 2* |
133 | 751 | 2x3x5^3 | 1 | 1000211 | 2* |
134 | 757 | 2^2x3^3x7 | 84 | 1001001 | 2 |
135 | 761 | 2^3x5x19 | 5 | 1001012 | 6 |
136 | 769 | 2^8x3 | 16 | 1001111 | 11 |
137 | 773 | 2^2x193 | 1 | 1001122 | 2 |
138 | 787 | 2x3x131 | 3 | 1002011 | 4* |
139 | 797 | 2^2x199 | 1 | 1002112 | 2 |
140 | 809 | 2^3x101 | 1 | 1002222 | 3 |
141 | 811 | 2x3^4x5 | 1 | 1010001 | 5* |
142 | 821 | 2^2x5x41 | 1 | 1010102 | 2 |
143 | 823 | 2x3x137 | 1 | 1010111 | 2* |
144 | 827 | 2x7x59 | 2 | 1010122 | 3* |
145 | 829 | 2^2x3^2x23 | 4 | 1010201 | 2 |
146 | 839 | 2x419 | 2 | 1011002 | 2* |
147 | 853 | 2^2x3x71 | 6 | 1011121 | 2 |
148 | 857 | 2^3x107 | 1 | 1011202 | 3 |
149 | 859 | 2x3x11x13 | 1 | 1011211 | 4* |
150 | 863 | 2x431 | 2 | 1011222 | 2* |
151 | 877 | 2^2x3x73 | 2 | 1011222 | 2 |
152 | 881 | 2^4x5x11 | 1 | 1012122 | 3 |
153 | 883 | 2x3^2x7^2 | 7 | 1012201 | 4* |
154 | 887 | 2x443 | 2 | 1012212 | 2* |
155 | 907 | 2x3x151 | 2 | 1020121 | 4* |
156 | 911 | 2x5x7x13 | 2 | 1020202 | 3* |
157 | 919 | 2x3^3x17 | 3 | 1021001 | 5* |
158 | 929 | 2^5x29 | 1 | 1021102 | 3 |
159 | 937 | 2^3x3^2x13 | 4 | 1021201 | 5 |
160 | 941 | 2^2x5x47 | 1 | 1021212 | 2 |
161 | 947 | 2x11x43 | 2 | 1022002 | 3* |
162 | 953 | 2^3x7x17 | 1 | 1022022 | 3 |
163 | 967 | 2x3x7x23 | 3 | 1022211 | 2* |
164 | 971 | 2x5x97 | 2 | 1022222 | 3* |
165 | 977 | 2^4x61 | 1 | 1100012 | 3 |
166 | 983 | 2x491 | 2 | 1100102 | 2* |
167 | 991 | 2x3^2x5x11 | 3 | 1100201 | 2* |
168 | 997 | 2^2x3x83 | 6 | 1100221 | 7 |
169 | 1009 | 2^4x3^2x7 | 6 | 1101101 | 11 |
170 | 1013 | 2^2x11x23 | 1 | 1101112 | 3 |
171 | 1019 | 2x509 | 2 | 1101202 | 3* |
172 | 1021 | 2^2x3x5x17 | 30 | 1101211 | 10 |
173 | 1031 | 2x5x103 | 2 | 1102012 | 2* |
174 | 1033 | 2^3x3x43 | 2 | 1102021 | 5 |
175 | 1039 | 2x3x173 | 1 | 1102111 | 2* |
176 | 1049 | 2^3x131 | 1 | 1102212 | 3 |
177 | 1051 | 2x3x5^2x7 | 5 | 1102221 | 5* |
178 | 1061 | 2^2x5x53 | 1 | 1110022 | 2 |
179 | 1063 | 2x3^2x59 | 1 | 1110101 | 2* |
180 | 1069 | 2^2x3x89 | 2 | 1110121 | 6 |
181 | 1087 | 2x3x181 | 1 | 1111021 | 2* |
182 | 1091 | 2x5x109 | 10 | 1111102 | 4* |
183 | 1093 | 2^2x3x7x13 | 156 | 1111111 | 5 |
184 | 1097 | 2^3x137 | 1 | 1111122 | 3 |
185 | 1103 | 2x19x29 | 2 | 1111212 | 3* |
186 | 1109 | 2^2x277 | 1 | 1112002 | 2 |
187 | 1117 | 2^2x3^2x31 | 12 | 1112101 | 2 |
188 | 1123 | 2x3x11x17 | 1 | 1112121 | 4* |
189 | 1129 | 2^3x3x47 | 2 | 1112211 | 11 |
190 | 1151 | 2x5^2x23 | 2 | 1120122 | 2* |
191 | 1153 | 2^7x3^2 | 2 | 1120201 | 5 |
192 | 1163 | 2x7x83 | 2 | 1121002 | 3* |
193 | 1171 | 2x3^x5x13 | 2 | 1121101 | 4* |
194 | 1181 | 2^2x5x59 | 59 | 1121202 | 7 |
195 | 1187 | 2x593 | 2 | 1121222 | 3* |
196 | 1193 | 2^3x149 | 1 | 1122012 | 3 |
197 | 1201 | 2^4x3x5^2 | 4 | 1122111 | 11 |
198 | 1213 | 2^2x3x101 | 4 | 1122221 | 2 |
199 | 1217 | 2^6x19 | 2 | 1200002 | 3 |
200 | 1223 | 2x13x47 | 26 | 1200022 | 2* |
201 | 1229 | 2^2x307 | 1 | 1200112 | 2 |
202 | 1231 | 2x3x5x41 | 1 | 1200121 | 2* |
203 | 1237 | 2^2x3x103 | 4 | 1200211 | 2 |
204 | 1249 | 2^5x3x13 | 6 | 1201021 | 11 |
205 | 1259 | 2x17x37 | 2 | 1201122 | 3* |
206 | 1277 | 2^2x11x29 | 1 | 1202022 | 2 |
207 | 1279 | 2x3^2x71 | 1 | 1202101 | 2* |
208 | 1283 | 2x641 | 2 | 1202112 | 3* |
209 | 1289 | 2^3x7x23 | 7 | 1202202 | 6 |
210 | 1291 | 2x3x5x43 | 1 | 1202211 | 4* |
211 | 1297 | 2^4x3^4 | 8 | 1210001 | 10 |
212 | 1301 | 2^2x5^2x13 | 1 | 1210012 | 2 |
213 | 1303 | 2x3x7x31 | 3 | 1210021 | 2* |
214 | 1307 | 2x653 | 2 | 1210102 | 3* |
215 | 1319 | 2x659 | 2 | 1210212 | 3* |
216 | 1321 | 2^3x3x5x11 | 24 | 1210221 | 13 |
217 | 1327 | 2x3x13x17 | 1 | 1211011 | 9* |
218 | 1361 | 2^4x5x17 | 1 | 1212102 | 3 |
219 | 1367 | 2x683 | 2 | 1212122 | 2* |
220 | 1373 | 2^2x7^3 | 1 | 1212212 | 2 |
221 | 1381 | 2^2x3x5x23 | 4 | 1220011 | 2 |
222 | 1399 | 2x3x233 | 3 | 1220211 | 5* |
223 | 1409 | 2^7x11 | 1 | 1221012 | 3 |
224 | 1423 | 2x3^2x79 | 1 | 1221201 | 9* |
225 | 1427 | 2x23x31 | 2 | 1221212 | 3* |
226 | 1429 | 2^2x3x7x17 | 2 | 1221221 | 6 |
227 | 1433 | 2^3x179 | 1 | 1222002 | 3 |
228 | 1439 | 2x719 | 2 | 1222022 | 2* |
229 | 1447 | 2x3x241 | 1 | 1222121 | 2* |
230 | 1451 | 2x5^2x29 | 2 | 1222202 | 3* |
231 | 1453 | 2^2x3x11^2 | 4 | 1222211 | 2 |
232 | 1459 | 2x3^6 | 1 | 2000001 | 6* |
233 | 1471 | 2x3x5x7^2 | 5 | 2000111 | 5* |
234 | 1481 | 2^3x5x37 | 1 | 2000212 | 3 |
235 | 1483 | 2x3x13x19 | 1 | 2000221 | 4* |
236 | 1487 | 2x743 | 2 | 2001002 | 2* |
237 | 1489 | 2^4x3x31 | 2 | 2001011 | 14 |
238 | 1493 | 2^2x373 | 1 | 2001022 | 2 |
239 | 1499 | 2x7x107 | 2 | 2001112 | 2* |
240 | 1511 | 2x5x151 | 10 | 2001222 | 2* |
241 | 1523 | 2x761 | 2 | 2002102 | 3* |
242 | 1531 | 2x3^2x5x17 | 9 | 2002201 | 4* |
243 | 1543 | 2x3x257 | 3 | 2010011 | 2* |
244 | 1549 | 2^2x3^2x43 | 6 | 2010101 | 2 |
245 | 1553 | 2^4x97 | 1 | 2010112 | 3 |
246 | 1559 | 2x19x41 | 2 | 2010202 | 2* |
247 | 1567 | 2x3^3x29 | 1 | 2011001 | 2* |
248 | 1571 | 2x5x157 | 2 | 2011012 | 3* |
249 | 1579 | 2x3x263 | 1 | 2011111 | 5* |
250 | 1583 | 2x7x113 | 14 | 2011122 | 2* |
251 | 1597 | 2^2x3x7x19 | 84 | 2012011 | 11 |
252 | 1601 | 2^6x5^2 | 1 | 2012022 | 3 |
253 | 1607 | 2x11x73 | 2 | 2012112 | 2* |
254 | 1609 | 2^3x3x67 | 6 | 2012121 | 7 |
255 | 1613 | 2^2x13x31 | 1 | 2012202 | 3 |
256 | 1619 | 2x809 | 2 | 2012222 | 3* |
257 | 1621 | 2^2x3^4x5 | 36 | 2020001 | 2 |
258 | 1627 | 2x3x271 | 1 | 2020021 | 6* |
259 | 1637 | 2^2x409 | 1 | 2020122 | 2 |
260 | 1657 | 2^3x3^2x23 | 8 | 2021101 | 11 |
261 | 1663 | 2x3x277 | 1 | 2021121 | 2* |
262 | 1667 | 2x7^2x17 | 2 | 2021202 | 3* |
263 | 1669 | 2^2x3x139 | 12 | 2021211 | 2 |
264 | 1693 | 2^2x3^2x47 | 2 | 2022201 | 2 |
265 | 1697 | 2^5x53 | 1 | 2022212 | 3 |
266 | 1699 | 2x3x283 | 1 | 2022221 | 6* |
267 | 1709 | 2^2x7x61 | 1 | 2100022 | 3 |
268 | 1721 | 2^3x5x43 | 1 | 2100202 | 3 |
269 | 1723 | 2x3x7x41 | 1 | 2100211 | 6* |
270 | 1733 | 2^2x433 | 1 | 2101012 | 2 |
271 | 1741 | 2^2x3x5x29 | 2 | 2101111 | 2 |
272 | 1747 | 2x3^2x97 | 1 | 2101201 | 4* |
273 | 1753 | 2^3x3x73 | 2 | 2101221 | 7 |
274 | 1759 | 2x3x293 | 3 | 2102011 | 2* |
275 | 1777 | 2^4x3x37 | 2 | 2102211 | 5 |
276 | 1783 | 2x3^4x11 | 3 | 2110001 | 2* |
277 | 1787 | 2x19x47 | 2 | 2110012 | 3* |
278 | 1789 | 2^2x3x149 | 2 | 2110021 | 6 |
279 | 1801 | 2^3x3^2x5^2 | 4 | 2110201 | 11 |
280 | 1811 | 2x5x181 | 2 | 2111002 | 3* |
281 | 1823 | 2x911 | 2 | 2111112 | 2* |
282 | 1831 | 2x3x5x61 | 1 | 2111211 | 9* |
283 | 1847 | 2x13x71 | 2 | 2112102 | 2* |
284 | 1861 | 2^2x3x5x31 | 6 | 2112221 | 2 |
285 | 1867 | 2x3x311 | 3 | 2120011 | 4* |
286 | 1871 | 2x5x11x17 | 110 | 2120022 | 2* |
287 | 1873 | 2^4x3^2x13 | 2 | 2120101 | 10 |
288 | 1877 | 2^2x7x67 | 7 | 2120112 | 2 |
289 | 1879 | 2x3x313 | 3 | 2120121 | 2* |
290 | 1889 | 2^5x59 | 1 | 2120222 | 3 |
291 | 1901 | 2^2x5^2x19 | 1 | 2121102 | 2 |
292 | 1907 | 2x953 | 2 | 2121122 | 3* |
293 | 1913 | 2^3x239 | 1 | 2121212 | 3 |
294 | 1931 | 2x5x193 | 2 | 2122112 | 3* |
295 | 1933 | 2^2x3x7x23 | 6 | 2122121 | 5 |
296 | 1949 | 2^2x487 | 1 | 2200012 | 2 |
297 | 1951 | 2x3x5^2x13 | 1 | 2200021 | 2* |
298 | 1973 | 2^2x17x29 | 1 | 2201002 | 2 |
299 | 1979 | 2x23x43 | 2 | 2201022 | 3* |
300 | 1987 | 2x3x331 | 1 | 2201121 | 4* |
301 | 1993 | 2^3x3x83 | 4 | 2201211 | 5 |
302 | 1997 | 2^2x499 | 1 | 2201222 | 2 |
303 | 1999 | 2x3^3x37 | 1 | 2202001 | 5* |
304 | 2003 | 2x7x11x13 | 2 | 2202012 | 3* |
305 | 2011 | 2x3x5x67 | 1 | 2202111 | 5* |
306 | 2017 | 2^5x3^2x7 | 2 | 2202201 | 5 |
307 | 2027 | 2x1013 | 2 | 2210002 | 3* |
308 | 2029 | 2^2x3x13^2 | 12 | 2210011 | 2 |
309 | 2039 | 2x1019 | 2 | 2210112 | 2* |
310 | 2053 | 2^2x3^3x19 | 2 | 2211001 | 2 |
311 | 2063 | 2x1031 | 2 | 2211102 | 2* |
312 | 2069 | 2^3x11x47 | 1 | 2211122 | 4* |
313 | 2081 | 2^5x5x13 | 1 | 2212002 | 3 |
314 | 2083 | 2x3x347 | 1 | 2212011 | 4* |
315 | 2087 | 2x7x149 | 2 | 2212022 | 2* |
316 | 2089 | 2^3x3^2x29 | 2 | 2212101 | 7 |
317 | 2099 | 2x1049 | 2 | 2212202 | 3* |
318 | 2111 | 2x5x211 | 10 | 2220012 | 2* |
319 | 2113 | 2^6x3x11 | 2 | 2220021 | 5 |
320 | 2129 | 2^4x7x19 | 1 | 2220212 | 3 |
321 | 2131 | 2x3x5x71 | 15 | 2220221 | 4* |
322 | 2137 | 2^3x3x89 | 4 | 2221011 | 10 |
323 | 2141 | 2^2x5x107 | 1 | 2221022 | 2 |
324 | 2143 | 2x3^2x7x17 | 1 | 2221101 | 9* |
325 | 2153 | 2^3x269 | 1 | 2221202 | 3 |
326 | 2161 | 2^4x3^3x5 | 10 | 2222001 | 23 |
327 | 2179 | 2x3^2x11^2 | 9 | 2222201 | 5* |
328 | 2203 | 2x3x367 | 3 | 10000121 | 2* |
329 | 2207 | 2x1103 | 2 | 10000202 | 2* |
330 | 2213 | 2^2x7x79 | 1 | 10000222 | 2 |
331 | 2221 | 2^2x3x5x37 | 12 | 10001021 | 2 |
332 | 2237 | 2^2x557 | 1 | 10001212 | 2 |
333 | 2239 | 2x3x373 | 1 | 10001221 | 2* |
334 | 2243 | 2x19x59 | 2 | 10002002 | 3* |
335 | 2251 | 2x3^2x5^3 | 9 | 10002101 | 5* |
336 | 2267 | 2x11x103 | 2 | 10002222 | 3* |
337 | 2269 | 2^2x3^4x7 | 54 | 10010001 | 2 |
338 | 2273 | 2^5x71 | 1 | 10010012 | 3 |
339 | 2281 | 2^3x3x5x19 | 10 | 10010111 | 7 |
340 | 2287 | 2x3^2x127 | 3 | 10010201 | 7* |
341 | 2293 | 2^2x3x191 | 2 | 10010221 | 2 |
342 | 2297 | 2^3x7x41 | 7 | 10011002 | 5 |
343 | 2309 | 2^2x577 | 1 | 10011112 | 2 |
344 | 2311 | 2x3x5x7x11 | 1 | 10011121 | 2* |
345 | 2333 | 2^2x11x53 | 1 | 10012102 | 2 |
346 | 2339 | 2x7x167 | 2 | 10012122 | 3* |
347 | 2341 | 2^2x3^2x5x13 | 12 | 10012201 | 7 |
348 | 2347 | 2x3x17x23 | 1 | 10012221 | 6* |
349 | 2351 | 2x5^2x47 | 2 | 10020002 | 3* |
350 | 2357 | 2^2x19x31 | 1 | 10020022 | 2 |
351 | 2371 | 2x3x5x79 | 1 | 10020211 | 4* |
352 | 2377 | 2^3x3^3x11 | 2 | 10021001 | 5 |
353 | 2381 | 2^2x5x7x17 | 1 | 10021012 | 3 |
354 | 2383 | 2x3x397 | 3 | 10021021 | 13* |
355 | 2389 | 2^2x3x199 | 6 | 10021111 | 2 |
356 | 2393 | 2^3x13x23 | 1 | 10021122 | 3 |
357 | 2399 | 2x11x109 | 2 | 10021212 | 2* |
358 | 2411 | 2x5x241 | 2 | 10022022 | 3* |
359 | 2417 | 2^4x151 | 1 | 10022112 | 3 |
360 | 2423 | 2x7x173 | 2 | 10022202 | 2* |
361 | 2437 | 2^2x3x7x29 | 2 | 10100021 | 2 |
362 | 2441 | 2^3x5x61 | 5 | 10100102 | 6 |
363 | 2447 | 2x1223 | 2 | 10100122 | 2* |
364 | 2459 | 2x1229 | 2 | 10101002 | 3* |
365 | 2467 | 2x3^2x137 | 1 | 10101101 | 4* |
366 | 2473 | 2^3x3x103 | 4 | 10101121 | 5 |
367 | 2477 | 2^2x619 | 1 | 10101202 | 2 |
368 | 2503 | 2x3^2x139 | 1 | 10102201 | 2* |
369 | 2521 | 2^3x3^2x5x7 | 20 | 10110202 | 17 |
370 | 2531 | 2x5x11x23 | 2 | 10110101 | 3* |
371 | 2539 | 2x3^3x47 | 1 | 10111001 | 4* |
372 | 2543 | 2x31x41 | 2 | 10111012 | 2* |
373 | 2549 | 2^2x7^2x13 | 1 | 10111102 | 2 |
374 | 2551 | 2x3x5^2x17 | 17 | 10111111 | 2* |
375 | 2557 | 2^2x3^2x71 | 4 | 10111201 | 2 |
376 | 2579 | 2x1289 | 2 | 10112112 | 3* |
377 | 2591 | 2x5x7x37 | 10 | 10112222 | 2* |
378 | 2593 | 2^5x3^4 | 4 | 10120001 | 7 |
379 | 2609 | 2^4x163 | 1 | 10120122 | 3 |
380 | 2617 | 2^3x3x109 | 6 | 10120221 | 5 |
381 | 2621 | 2^2x5x131 | 5 | 10121002 | 2 |
382 | 2633 | 2^3x7x47 | 1 | 10121112 | 3 |
383 | 2647 | 2x3^3x7^2 | 1 | 10122001 | 2* |
384 | 2657 | 2^5x83 | 1 | 10122102 | 3 |
385 | 2659 | 2x3x443 | 1 | 10122111 | 4* |
386 | 2663 | 2x11^3 | 2 | 10122122 | 2* |
387 | 2671 | 2x3x5x89 | 3 | 10122221 | 5* |
388 | 2677 | 2^2x3x223 | 4 | 10200011 | 2 |
389 | 2683 | 2x3^2x149 | 1 | 10200101 | 4* |
390 | 2687 | 2x17x79 | 2 | 10200112 | 3* |
391 | 2689 | 2^7x3x7 | 2 | 10200121 | 19 |
392 | 2693 | 2^2x673 | 1 | 10200202 | 2 |
393 | 2699 | 2x19x71 | 2 | 10200222 | 3* |
394 | 2707 | 2x3x11x41 | 1 | 10201021 | 4* |
395 | 2711 | 2x5x271 | 2 | 10201102 | 2* |
396 | 2713 | 2^3x3x113 | 6 | 10201111 | 5 |
397 | 2719 | 2x3^2x151 | 1 | 10201201 | 2* |
398 | 2729 | 2^3x11x31 | 1 | 10202002 | 3 |
399 | 2731 | 2x3x5x7x13 | 1 | 10202011 | 5* |
400 | 2741 | 2^2x5x137 | 1 | 10202112 | 2 |
401 | 2749 | 2^2x3x229 | 2 | 10202211 | 6 |
402 | 2753 | 2^6x43 | 1 | 10202222 | 3 |
403 | 2767 | 2x3x461 | 1 | 10210111 | 9* |
404 | 2777 | 2^3x347 | 1 | 10210212 | 3 |
405 | 2789 | 2^2x17x41 | 1 | 10211022 | 2 |
406 | 2791 | 2x3^2x5x31 | 5 | 10211101 | 7* |
407 | 2797 | 2^2x3x233 | 4 | 10211121 | 2 |
408 | 2801 | 2^4x5^2x7 | 1 | 10211202 | 3 |
409 | 2803 | 2x3x467 | 3 | 10211211 | 4* |
410 | 2819 | 2x1409 | 2 | 10212102 | 3* |
411 | 2833 | 2^4x3x59 | 4 | 10212221 | 5 |
412 | 2837 | 2^2x709 | 1 | 10220002 | 2 |
413 | 2843 | 2x7^2x29 | 14 | 10220022 | 4* |
414 | 2851 | 2x3x5^2x19 | 75 | 10220121 | 4* |
415 | 2857 | 2^3x3x7x17 | 34 | 10220211 | 11 |
416 | 2861 | 2^2x5x11x13 | 1 | 10220222 | 2 |
417 | 2879 | 2x1439 | 2 | 10221122 | 2* |
418 | 2887 | 2x3x13x37 | 37 | 10221221 | 2* |
419 | 2897 | 2^4x181 | 1 | 10222022 | 3 |
420 | 2903 | 2x1451 | 2 | 10222112 | 2* |
421 | 2909 | 2^2x727 | 1 | 10222202 | 2 |
422 | 2917 | 2^2x3^6 | 2 | 11000001 | 5 |
423 | 2927 | 2x7x11x19 | 14 | 11000102 | 2* |
424 | 2939 | 2x13x113 | 2 | 11000212 | 3* |
425 | 2953 | 2^3x3^2x41 | 4 | 11001101 | 13 |
426 | 2957 | 2^2x739 | 1 | 11001112 | 2 |
427 | 2963 | 2x1481 | 2 | 11001202 | 3* |
428 | 2969 | 2^3x7x53 | 1 | 11001222 | 3 |
429 | 2971 | 2x3^3x5x11 | 3 | 11002001 | 5* |
430 | 2999 | 2x1499 | 2 | 11010002 | 2* |
431 | 3001 | 2^3x3x5^3 | 6 | 11010011 | 2* |
432 | 3011 | 2x5x7x43 | 2 | 11010112 | 3* |
433 | 3019 | 2x3x503 | 3 | 11010211 | 4* |
434 | 3023 | 2x1511 | 2 | 11010222 | 2* |
435 | 3037 | 2^2x3x11x23 | 2 | 11011111 | 2 |
436 | 3041 | 2^5x5x19 | 1 | 11011122 | 3 |
437 | 3049 | 2^3x3x127 | 6 | 11011221 | 11 |
438 | 3061 | 2^2x3^2x5x17 | 2 | 11012101 | 6 |
439 | 3067 | 2x3x7x73 | 3 | 11012121 | 4* |
440 | 3079 | 2x3^4x19 | 27 | 11020001 | 2* |
441 | 3083 | 2x23x67 | 2 | 11020012 | 3* |
442 | 3089 | 2^4x193 | 1 | 11020102 | 3 |
443 | 3109 | 2^2x3x7x37 | 6 | 11021011 | 6 |
444 | 3119 | 2x1559 | 2 | 11021112 | 2* |
445 | 3121 | 2^4x3x5x13 | 2 | 11021121 | 7 |
446 | 3137 | 2^6x7^2 | 1 | 11022012 | 3 |
447 | 3163 | 2x3x17x31 | 1 | 11100011 | 6* |
448 | 3167 | 2x1583 | 2 | 11100022 | 2* |
449 | 3169 | 2^5x3^2x11 | 4 | 11100101 | 7 |
450 | 3181 | 2^2x3x5x53 | 12 | 11100211 | 7 |
451 | 3187 | 2x3^3x59 | 27 | 11101001 | 2* |
452 | 3191 | 2x5x11x29 | 10 | 11101012 | 5* |
453 | 3203 | 2x1601 | 2 | 11101122 | 3* |
454 | 3209 | 2^3x401 | 1 | 11101212 | 3 |
455 | 3217 | 2^4x3x67 | 6 | 11102011 | 5 |
456 | 3221 | 2^2x5x7x23 | 5 | 11102022 | 10 |
457 | 3229 | 2^2x3x269 | 4 | 11102121 | 6 |
458 | 3251 | 2x5^3x13 | 2 | 11110102 | 3* |
459 | 3253 | 2^2x3x271 | 12 | 11110111 | 2 |
460 | 3257 | 2^3x11x37 | 1 | 11110122 | 3 |
461 | 3259 | 2x3^2x181 | 1 | 11110201 | 5* |
462 | 3271 | 2x3x5x109 | 1 | 11111011 | 5* |
463 | 3299 | 2x17x97 | 2 | 11112012 | 3* |
464 | 3301 | 2^2x3x5^2x11 | 2 | 11112021 | 6 |
465 | 3307 | 2x3x19x29 | 1 | 11112111 | 4* |
466 | 3313 | 2^4x3^2x23 | 2 | 11112201 | 10 |
467 | 3319 | 2x3x7x79 | 3 | 11112221 | 2* |
468 | 3323 | 2x11x151 | 2 | 11120002 | 3* |
469 | 3329 | 2^8x13 | 1 | 11120022 | 3 |
470 | 3331 | 2x3^2x5x37 | 1 | 11120101 | 3 |
471 | 3343 | 2x3x557 | 3 | 11120211 | 11* |
472 | 3347 | 2x7x239 | 2 | 11120222 | 3* |
473 | 3359 | 2x23x73 | 2 | 11121102 | 2* |
474 | 3361 | 2^5x3x5x7 | 2 | 11121111 | 22 |
475 | 3371 | 2x5x337 | 2 | 11121212 | 3* |
476 | 3373 | 2^2x3x281 | 12 | 11121221 | 10 |
477 | 3389 | 2^2x7x11^2 | 1 | 11122112 | 3 |
478 | 3391 | 2x3x5x113 | 1 | 11122121 | 5* |
479 | 3407 | 2x13x131 | 2 | 11200012 | 2* |
480 | 3413 | 2^2x853 | 1 | 11200102 | 2 |
481 | 3433 | 2^3x3x11x13 | 2 | 11201011 | 5 |
482 | 3449 | 2^3x431 | 1 | 11201202 | 3 |
483 | 3457 | 2^7x3^3 | 2 | 11202001 | 7 |
484 | 3461 | 2^2x5x173 | 1 | 11202012 | 2 |
485 | 3463 | 2x3x577 | 1 | 11202021 | 9* |
486 | 3467 | 2x1733 | 2 | 11202102 | 3* |
487 | 3469 | 2^2x3x17^2 | 4 | 11202111 | 2 |
488 | 3491 | 2x5x349 | 2 | 11210022 | 3* |
489 | 3499 | 2x3x11x53 | 3 | 11210121 | 4* |
490 | 3511 | 2x3^3x5x13 | 13 | 11211001 | 2* |
491 | 3517 | 2^2x3x293 | 6 | 11211021 | 2 |
492 | 3527 | 2x41x43 | 2 | 11211122 | 2* |
493 | 3529 | 2^3x3^2x7^2 | 12 | 11211201 | 17 |
494 | 3533 | 2^2x883 | 1 | 11211212 | 2 |
495 | 3539 | 2x29x61 | 2 | 11212002 | 3* |
496 | 3541 | 2^2x3x5x59 | 2 | 11212011 | 7 |
497 | 3547 | 2x3^2x197 | 1 | 11212101 | 4* |
498 | 3557 | 2^2x7x127 | 1 | 11212202 | 2 |
499 | 3559 | 2x3x593 | 1 | 11212211 | 2* |
500 | 3571 | 2x3x5x7x17 | 1 | 11220021 | 4* |
501 | 3581 | 2^2x5x179 | 1 | 11220122 | 2 |
502 | 3583 | 2x3^2x199 | 1 | 11220201 | 2* |
503 | 3593 | 2^3x449 | 1 | 11221002 | 3 |
504 | 3607 | 2x3x601 | 3 | 11221121 | 11* |
505 | 3613 | 2^2x3x7x43 | 2 | 11221211 | 2 |
506 | 3617 | 2^5x113 | 1 | 11221222 | 3 |
507 | 3623 | 2x1811 | 2 | 11222012 | 2* |
508 | 3631 | 2x3x5x11^2 | 3 | 11222111 | 10* |
509 | 3637 | 2^2x3^2x101 | 4 | 11222201 | 2 |
510 | 3643 | 2x3x607 | 1 | 11222221 | 4* |
511 | 3659 | 2x31x59 | 2 | 12000112 | 3* |
512 | 3671 | 2x5x367 | 2 | 12000222 | 2* |
513 | 3673 | 2^3x3^3x17 | 8 | 12001001 | 5 |
514 | 3677 | 2^2x919 | 1 | 12001012 | 2 |
515 | 3691 | 2x3^2x5x41 | 5 | 12001201 | 4* |
516 | 3697 | 2^4x3x7x11 | 16 | 12001221 | 5 |
517 | 3701 | 2^2x5^2x37 | 1 | 12002002 | 2 |
518 | 3709 | 2^2x3^2x103 | 2 | 12002101 | 2 |
519 | 3719 | 2x11x13^2 | 2 | 12002202 | 2* |
520 | 3727 | 2x3^4x23 | 1 | 12010001 | 2* |
521 | 3733 | 2^2x3x311 | 12 | 12010021 | 2 |
522 | 3739 | 2x3x7x89 | 3 | 12010111 | 5* |
523 | 3761 | 2^4x5x47 | 1 | 12011022 | 3 |
524 | 3767 | 2x7x269 | 2 | 12011112 | 2* |
525 | 3769 | 2^3x3x157 | 4 | 12011121 | 7 |
526 | 3779 | 2x1889 | 2 | 12011222 | 2* |
527 | 3793 | 2^4x3x79 | 2 | 12012111 | 5 |
528 | 3797 | 2^2x13x73 | 1 | 12012122 | 2 |
529 | 3803 | 2x1901 | 2 | 12012212 | 3* |
530 | 3821 | 2^2x5x191 | 1 | 12020112 | 3 |
531 | 3823 | 2x3x7^2x13 | 1 | 12020121 | 9* |
532 | 3833 | 2^3x479 | 1 | 12020222 | 3 |
533 | 3847 | 2x3x641 | 3 | 12021111 | 2* |
534 | 3851 | 2x5^2x7x11 | 350 | 12021122 | 4* |
535 | 3853 | 2^2x3^2x107 | 12 | 12021201 | 2 |
536 | 3863 | 2x1931 | 2 | 12022002 | 2* |
537 | 3877 | 2^2x3x17x19 | 2 | 12022121 | 2 |
538 | 3881 | 2^3x5x97 | 5 | 12022202 | 13 |
539 | 3889 | 2^4x3^5 | 48 | 12100001 | 2 |
540 | 3907 | 2x3^2x7x31 | 3 | 12100201 | 4* |
541 | 3911 | 2x5x17x23 | 2 | 12100212 | 2* |
542 | 3917 | 2^2x11x89 | 1 | 12101002 | 2 |
543 | 3919 | 2x3x653 | 1 | 12101011 | 2* |
544 | 3923 | 2x37x53 | 2 | 12101022 | 3* |
545 | 3929 | 2^3x491 | 1 | 12101112 | 3 |
546 | 3931 | 2x3x5x131 | 1 | 12101121 | 4* |
547 | 3943 | 2x3^3x73 | 1 | 12102001 | 9* |
548 | 3947 | 2x1973 | 2 | 12102012 | 3* |
549 | 3967 | 2x3x661 | 3 | 12102221 | 2* |
550 | 3989 | 2^2x997 | 1 | 12110202 | 2 |
551 | 4001 | 2^5x5^3 | 1 | 12111012 | 3 |
552 | 4003 | 2x3x23x29 | 1 | 12111021 | 4* |
553 | 4007 | 2x2003 | 2 | 12111102 | 2* |
554 | 4013 | 2^2x17x59 | 1 | 12111122 | 2 |
555 | 4019 | 2x7^2x41 | 82 | 12111212 | 4* |
556 | 4021 | 2^2x3x5x67 | 4 | 12111221 | 2 |
557 | 4027 | 2x3x11x61 | 1 | 12112011 | 6* |
558 | 4049 | 2^4x11x23 | 1 | 12112222 | 3 |
559 | 4051 | 2x3^4x5^2 | 5 | 12120001 | 5* |
560 | 4057 | 2^3x3x13^2 | 12 | 12120021 | 5 |
561 | 4073 | 2^3x509 | 1 | 12120212 | 2 |
562 | 4079 | 2x2039 | 2 | 12121002 | 2* |
563 | 4091 | 2x5x409 | 2 | 12121112 | 3* |
564 | 4093 | 2^2x3x11x31 | 12 | 12121121 | 2 |
565 | 4099 | 2x3x683 | 3 | 12121211 | 4* |
566 | 4111 | 2x3x5x137 | 5 | 12122021 | 2* |
567 | 4127 | 2x2063 | 2 | 12122212 | 2* |
568 | 4129 | 2^5x3x43 | 32 | 12122221 | 13 |
569 | 4133 | 2^2x1033 | 1 | 12200002 | 2 |
570 | 4139 | 2x2069 | 2 | 12200022 | 3* |
571 | 4153 | 2^3x3x173 | 8 | 12200211 | 5 |
572 | 4157 | 2^2x1039 | 1 | 12200222 | 2 |
573 | 4159 | 2x3^3x7x11 | 1 | 12201001 | 2* |
574 | 4177 | 2^4x3^2x29 | 18 | 12201201 | 5 |
575 | 4201 | 2^3x3x5^2x7 | 10 | 12202121 | 11 |
576 | 4211 | 2x5x421 | 2 | 12202222 | 3* |
577 | 4217 | 2^3x17x31 | 1 | 12210012 | 5 |
578 | 4219 | 2x3x19x37 | 1 | 12210021 | 4* |
579 | 4229 | 2^2x7x151 | 1 | 12210122 | 2 |
580 | 4231 | 2x3^2x5x47 | 1 | 12210201 | 2* |
581 | 4241 | 2^4x5x53 | 1 | 12211002 | 3 |
582 | 4243 | 2x3x7x101 | 1 | 12211011 | 4* |
583 | 4253 | 2^2x1063 | 1 | 12211112 | 2 |
584 | 4259 | 2x2129 | 2 | 12211202 | 3* |
585 | 4261 | 2^2x3x5x71 | 2 | 12211211 | 2 |
586 | 4271 | 2x5x7x61 | 2 | 12212012 | 3* |
587 | 4273 | 2^4x3x89 | 2 | 12212021 | 5 |
588 | 4283 | 2x2141 | 2 | 12212122 | 3* |
589 | 4289 | 2^6x67 | 1 | 12212212 | 3 |
590 | 4297 | 2^3x3x179 | 8 | 12220011 | 3 |
591 | 4327 | 2x3x7x103 | 1 | 12221021 | 2* |
592 | 4337 | 2^4x271 | 1 | 12221122 | 3 |
593 | 4339 | 2x3^2x241 | 9 | 12221201 | 5* |
594 | 4349 | 2^2x1087 | 1 | 12222002 | 2 |
595 | 4357 | 2^2x3^2x11^2 | 22 | 12222101 | 2 |
596 | 4363 | 2x3x727 | 1 | 12222121 | 4* |
597 | 4373 | 2^2x1093 | 1 | 12222222 | 2 |
598 | 4391 | 2x5x439 | 2 | 20000122 | 2* |
599 | 4397 | 2^2x7x157 | 1 | 20000212 | 2 |
600 | 4409 | 2^3x7x19x29 | 1 | 20001022 | 3 |
601 | 4421 | 2^2x5x13x17 | 1 | 20001202 | 3 |
602 | 4423 | 2x3x11x67 | 1 | 20001211 | 7* |
603 | 4441 | 2^3x3x5x37 | 4 | 20002111 | 21 |
604 | 4447 | 2x3^2x13x19 | 1 | 20002201 | 2* |
605 | 4451 | 2x5^2x89 | 2 | 20002212 | 3* |
606 | 4457 | 2^3x557 | 1 | 20010002 | 3 |
607 | 4463 | 2x23x97 | 2 | 20010022 | 2* |
608 | 4481 | 2^7x5x7 | 1 | 20010222 | 3 |
609 | 4483 | 2x3^3x83 | 3 | 20011001 | 4* |
610 | 4493 | 2^2x1123 | 1 | 20011102 | 2 |
611 | 4507 | 2x3x751 | 1 | 20011221 | 4* |
612 | 4513 | 2^5x3x47 | 12 | 20012011 | 7 |
613 | 4517 | 2^2x1129 | 1 | 20012022 | 2 |
614 | 4519 | 2x3^2x251 | 1 | 20012101 | 9* |
615 | 4523 | 2x7x17x19 | 2 | 20012112 | 3* |
616 | 4547 | 2x2273 | 2 | 20020102 | 3* |
617 | 4549 | 2^2x3x379 | 2 | 20020111 | 6 |
618 | 4561 | 2^4x3x5x19 | 304 | 20020221 | 11 |
619 | 4567 | 2x3x761 | 1 | 20021011 | 7* |
620 | 4583 | 2x29x79 | 2 | 20021202 | 2* |
621 | 4591 | 2x3^3x5x17 | 17 | 20022001 | 2* |
622 | 4597 | 2^2x3x383 | 2 | 20022021 | 5 |
623 | 4603 | 2x3x13x59 | 1 | 20022111 | 4* |
624 | 4621 | 2^2x3x5x7x11 | 2 | 20100011 | 2 |
625 | 4637 | 2^2x19x61 | 1 | 20100202 | 2 |
626 | 4639 | 2x3x773 | 1 | 20100211 | 2* |
627 | 4643 | 2x11x211 | 2 | 20100222 | 3* |
628 | 4649 | 2^3x7x83 | 1 | 20101012 | 3 |
629 | 4651 | 2x3x5^2x31 | 1 | 20101021 | 5* |
630 | 4657 | 2^4x3x97 | 2 | 20101111 | 15 |
631 | 4663 | 2x3^2x7x37 | 1 | 20101201 | 9* |
632 | 4673 | 2^6x73 | 1 | 20102002 | 3 |
633 | 4679 | 2x2339 | 2 | 20102022 | 2* |
634 | 4691 | 2x5x7x67 | 2 | 20102202 | 3* |
635 | 4703 | 2x2351 | 2 | 20110012 | 2* |
636 | 4721 | 2^4x5x59 | 5 | 20110212 | 3 |
637 | 4723 | 2x3x787 | 1 | 20110221 | 4* |
638 | 4729 | 2^3x3x197 | 6 | 20111011 | 17 |
639 | 4733 | 2^2x7x13^2 | 7 | 20111022 | 5 |
640 | 4751 | 2x5^3x19 | 2 | 20111222 | 3* |
641 | 4759 | 2x3x13x61 | 1 | 20112021 | 5* |
642 | 4783 | 2x3x797 | 3 | 20120011 | 2* |
643 | 4787 | 2x2393 | 2 | 20120022 | 3* |
644 | 4789 | 2^2x3^2x7x19 | 2 | 20120101 | 2 |
645 | 4793 | 2^3x599 | 1 | 20120112 | 3 |
646 | 4799 | 2x2399 | 2 | 20120202 | 2* |
647 | 4801 | 2^6x3x5^2 | 20 | 20120211 | 7 |
648 | 4813 | 2^2x3x401 | 2 | 20121021 | 2 |
649 | 4817 | 2^4x7x43 | 1 | 20121102 | 3 |
650 | 4831 | 2x3x5x7x23 | 1 | 20121221 | 2* |
651 | 4861 | 2^2x3^5x5 | 4 | 20200001 | 11 |
652 | 4871 | 2x5x487 | 2 | 20200102 | 3* |
653 | 4877 | 2^2x23x53 | 1 | 20200122 | 2 |
654 | 4889 | 2^3x13x47 | 1 | 20201002 | 3 |
655 | 4903 | 2x3x19x43 | 1 | 20201121 | 2* |
656 | 4909 | 2^2x3x409 | 4 | 20201211 | 6 |
657 | 4919 | 2x2459 | 2 | 20202012 | 2* |
658 | 4931 | 2x5x17x29 | 2 | 20202122 | 3* |
659 | 4933 | 2^2x3^2x137 | 36 | 20202201 | 2 |
660 | 4937 | 2^3x617 | 1 | 20202212 | 3 |
661 | 4943 | 2x7x353 | 2 | 20210002 | 2* |
662 | 4951 | 2x3^2x5^2x11 | 15 | 20210101 | 2* |
663 | 4957 | 2^2x3x7x59 | 12 | 20210121 | 2 |
664 | 4967 | 2x13x191 | 2 | 20210222 | 2* |
665 | 4969 | 2^3x3^3x23 | 24 | 20211001 | 11 |
666 | 4973 | 2^2x11x113 | 1 | 20211012 | 2 |
667 | 4987 | 2x3^2x277 | 1 | 20211201 | 4* |
668 | 4993 | 2^7x3x13 | 6 | 20211221 | 5 |
669 | 4999 | 2x3x7^2x17 | 1 | 20212011 | 9* |
670 | 5003 | 2x41x61 | 2 | 20212022 | 3* |
671 | 5009 | 2^4x313 | 1 | 20212112 | 3 |
672 | 5011 | 2x3x5x167 | 3 | 20212121 | 4* |
673 | 5021 | 2^2x5x251 | 1 | 20212222 | 3 |
674 | 5023 | 2x3^4x31 | 1 | 20220001 | 2* |
675 | 5039 | 2x11x229 | 2 | 20220122 | 2* |
676 | 5051 | 2x5^2x101 | 2 | 20221002 | 3* |
677 | 5059 | 2x3^2x281 | 3 | 20221101 | 4* |
678 | 5077 | 2^2x3^3x47 | 6 | 20222001 | 2 |
679 | 5081 | 2^3x5x127 | 1 | 20222012 | 3 |
680 | 5087 | 2x2543 | 2 | 20222102 | 2* |
681 | 5099 | 2x2549 | 2 | 20222212 | 3* |
682 | 5101 | 2^2x3x5^2x17 | 4 | 20222221 | 6 |
683 | 5107 | 2x3x23x37 | 37 | 21000011 | 4* |
684 | 5113 | 2^3x3^2x71 | 24 | 21000101 | 19 |
685 | 5119 | 2x3x853 | 1 | 21000121 | 2* |
686 | 5147 | 2x31x83 | 2 | 21001122 | 3* |
687 | 5153 | 2^5x7x23 | 7 | 21001212 | 5 |
688 | 5167 | 2x3^2x7x41 | 7 | 21002101 | 11* |
689 | 5171 | 2x5x11x47 | 22 | 21002112 | 4* |
690 | 5179 | 2x3x863 | 3 | 21002211 | 4* |
691 | 5189 | 2^2x1297 | 1 | 21010012 | 2 |
692 | 5197 | 2^2x3x433 | 6 | 21010111 | 2 |
693 | 5209 | 2^3x3x7x31 | 4 | 21010221 | 2 |
694 | 5227 | 2x3x13x67 | 3 | 21011121 | 4* |
695 | 5231 | 2x5x523 | 2 | 21011202 | 2* |
696 | 5233 | 2^4x3x109 | 12 | 21011211 | 10 |
697 | 5237 | 2^2x7x11x17 | 1 | 21011222 | 3 |
698 | 5261 | 2^2x5x263 | 1 | 21012212 | 2 |
699 | 5273 | 2^3x659 | 1 | 21020022 | 3 |
700 | 5279 | 2x7x13x29 | 2 | 21020112 | 3* |
701 | 5281 | 2^5x3x5x11 | 4 | 21020121 | 7 |
702 | 5297 | 2^4x331 | 1 | 21021012 | 3 |
703 | 5303 | 2x11x241 | 2 | 21021102 | 2* |
704 | 5309 | 2^2x1327 | 1 | 21021122 | 2 |
705 | 5323 | 2x3x887 | 3 | 21022011 | 10* |
706 | 5333 | 2^2x31x43 | 1 | 21022112 | 2 |
707 | 5347 | 2x3^5x11 | 1 | 21100001 | 6* |
708 | 5351 | 2x5^2x107 | 10 | 21100012 | 2* |
709 | 5381 | 2^2x5x269 | 1 | 21101022 | 3 |
710 | 5387 | 2x2693 | 2 | 21101112 | 3* |
711 | 5393 | 2^4x337 | 1 | 21101202 | 3 |
712 | 5399 | 2x2699 | 2 | 21101222 | 2* |
713 | 5407 | 2x3x17x53 | 1 | 21102021 | 2* |
714 | 5413 | 2^2x3x11x41 | 4 | 21102111 | 5 |
715 | 5417 | 2^3x677 | 1 | 21102122 | 3 |
716 | 5419 | 2x3^2x7x43 | 1 | 21102201 | 5* |
717 | 5431 | 2x3x5x181 | 1 | 21110011 | 2* |
718 | 5437 | 2^2x3^2x151 | 4 | 21110101 | 5 |
719 | 5441 | 2^6x5x17 | 1 | 21110112 | 3 |
720 | 5443 | 2x3x907 | 1 | 21110121 | 4* |
721 | 5449 | 2^3x3x227 | 4 | 21110211 | 7 |
722 | 5471 | 2x5x547 | 2 | 21111122 | 3* |
723 | 5477 | 2^2x37^2 | 1 | 21111212 | 2 |
724 | 5479 | 2x3x11x83 | 1 | 21111221 | 2* |
725 | 5483 | 2x2741 | 2 | 21112002 | 3* |
726 | 5501 | 2^2x5^3x11 | 125 | 21112202 | 2 |
727 | 5503 | 2x3x7x131 | 1 | 21112211 | 9* |
728 | 5507 | 2x2753 | 2 | 21112222 | 3* |
729 | 5519 | 2x31x89 | 2 | 21120102 | 2* |
730 | 5521 | 2^4x3x5x23 | 12 | 21120111 | 11 |
731 | 5527 | 2x3^2x307 | 3 | 21120201 | 2* |
732 | 5531 | 2x5x7x79 | 14 | 21120212 | 5* |
733 | 5557 | 2^2x3x463 | 4 | 21121211 | 2 |
734 | 5563 | 2x3^3x103 | 1 | 21122001 | 4* |
735 | 5569 | 2^6x3x29 | 6 | 21122021 | 13 |
736 | 5573 | 2^2x7x199 | 1 | 21122102 | 2 |
737 | 5581 | 2^2x3^2x5x31 | 2 | 21122201 | 6 |
738 | 5591 | 2x5x13x43 | 10 | 21200002 | 2* |
739 | 5623 | 2x3x937 | 3 | 21201021 | 2* |
740 | 5639 | 2x2819 | 2 | 21201212 | 2* |
741 | 5641 | 2^3x3x5x47 | 2 | 21201221 | 14 |
742 | 5647 | 2x3x941 | 1 | 21202011 | 2* |
743 | 5651 | 2x5^2x113 | 2 | 21202022 | 3* |
744 | 5653 | 2^2x3^2x157 | 2 | 21202101 | 5 |
745 | 5657 | 2^3x7x101 | 1 | 21202112 | 3 |
746 | 5659 | 2x3x23x41 | 3 | 21202121 | 4* |
747 | 5669 | 2^2x13x109 | 1 | 21202222 | 3 |
748 | 5683 | 2x3x947 | 1 | 21210111 | 4* |
749 | 5689 | 2^3x3^2x79 | 2 | 21210201 | 11 |
750 | 5693 | 2^2x1423 | 1 | 21210212 | 2 |
751 | 5701 | 2^2x3x5^2x19 | 4 | 21211011 | 2 |
752 | 5711 | 2x5x571 | 2 | 21211112 | 3* |
753 | 5717 | 2^2x1429 | 1 | 21211202 | 2 |
754 | 5737 | 2^3x3x239 | 6 | 21212111 | 10 |
755 | 5741 | 2^2x5x7x41 | 1 | 21212122 | 2 |
756 | 5743 | 2x3^2x11x29 | 11 | 21212201 | 2* |
757 | 5749 | 2^2x3x479 | 4 | 21212221 | 2 |
758 | 5779 | 2x3^3x107 | 1 | 21221001 | 4* |
759 | 5783 | 2x7^2x59 | 2 | 21221012 | 2* |
760 | 5791 | 2x3x5x193 | 3 | 21221111 | 2* |
761 | 5801 | 2^3x5^2x29 | 1 | 21221212 | 3 |
762 | 5807 | 2x2903 | 2 | 21222002 | 2* |
763 | 5813 | 2^2x1453 | 1 | 21222022 | 2 |
764 | 5821 | 2^2x3x5x97 | 4 | 21222121 | 6 |
765 | 5827 | 2x3x971 | 1 | 21222211 | 4* |
766 | 5839 | 2x3x7x139 | 3 | 22000021 | 2* |
767 | 5843 | 2x23x127 | 46 | 22000102 | 4* |
768 | 5849 | 2^3x17x43 | 1 | 22000122 | 3 |
769 | 5851 | 2x3^2x5^2x13 | 3 | 22000201 | 4* |
770 | 5857 | 2^5x3x61 | 2 | 22000221 | 7 |
771 | 5861 | 2^2x5x293 | 1 | 22001002 | 3 |
772 | 5867 | 2x7x419 | 2 | 22001022 | 3* |
773 | 5869 | 2^2x3^2x163 | 4 | 22001101 | 2 |
774 | 5879 | 2x2939 | 2 | 22001202 | 2* |
775 | 5881 | 2^3x3x5x7^2 | 2 | 22001211 | 31 |
776 | 5897 | 2^3x11x67 | 1 | 22002102 | 3 |
777 | 5903 | 2x13x227 | 2 | 22002122 | 2* |
778 | 5923 | 2x3^2x7x47 | 1 | 22010101 | 4* |
779 | 5927 | 2x2963 | 2 | 22010112 | 2* |
780 | 5939 | 2x2969 | 2 | 22010222 | 3* |
781 | 5953 | 2^6x3x31 | 2 | 22011111 | 7 |
782 | 5981 | 2^2x5x13x23 | 1 | 22012112 | 3 |
783 | 5987 | 2x41x73 | 2 | 22012202 | 3* |
784 | 6007 | 2x3x7x11x13 | 1 | 22020111 | 9* |
785 | 6011 | 2x5x601 | 10 | 22020122 | 4* |
786 | 6029 | 2^2x11x137 | 1 | 22021022 | 2 |
787 | 6037 | 2^2x3x503 | 2 | 22021121 | 5 |
788 | 6043 | 2x3x19x53 | 3 | 22021211 | 6* |
789 | 6047 | 2x3023 | 2 | 22021222 | 2* |
790 | 6053 | 2^2x17x89 | 1 | 22022012 | 2 |
791 | 6067 | 2x3^2x337 | 9 | 22022201 | 4* |
792 | 6073 | 2^3x3x11x23 | 8 | 22022221 | 10 |
793 | 6079 | 2x3x1013 | 3 | 22100011 | 7* |
794 | 6089 | 2^3x761 | 1 | 22100112 | 10 |
795 | 6091 | 2x3x5x7x29 | 105 | 22100121 | 11* |
796 | 6101 | 2^2x5^2x61 | 5 | 22100222 | 2 |
797 | 6113 | 2^5x191 | 1 | 22101102 | 2 |
798 | 6121 | 2^3x3^2x5x17 | 2 | 22101201 | 2 |
799 | 6131 | 2x5x613 | 2 | 22102002 | 3* |
800 | 6133 | 2^2x3x7x73 | 2 | 22102011 | 5 |
801 | 6143 | 2x37x83 | 2 | 22102112 | 2* |
802 | 6151 | 2x3x5^2x41 | 1 | 22102211 | 2* |
803 | 6163 | 2x3x13x79 | 1 | 22110021 | 6* |
804 | 6173 | 2^2x1543 | 1 | 22110122 | 2 |
805 | 6197 | 2^2x1549 | 1 | 22111112 | 2 |
806 | 6199 | 2x3x1033 | 1 | 22111121 | 2* |
807 | 6203 | 2x7x443 | 2 | 22111202 | 3* |
808 | 6211 | 2x3^3x5x23 | 27 | 22112001 | 4* |
809 | 6217 | 2^3x3x7x37 | 2 | 22112021 | 5 |
810 | 6221 | 2^2x5x311 | 1 | 22112102 | 3 |
811 | 6229 | 2^2x3^2x173 | 2 | 22112201 | 2 |
812 | 6247 | 2x3^2x347 | 9 | 22120101 | 2* |
813 | 6257 | 2^4x17x23 | 1 | 22120202 | 3 |
814 | 6263 | 2x31x101 | 2 | 22120222 | 2* |
815 | 6269 | 2^2x1567 | 1 | 22121012 | 2 |
816 | 6271 | 2x3x5x11x19 | 3 | 22121021 | 17* |
817 | 6277 | 2^2x3x523 | 2 | 22121111 | 2 |
818 | 6287 | 2x7x449 | 2 | 22121212 | 2* |
819 | 6299 | 2x47x67 | 2 | 22122022 | 3* |
820 | 6301 | 2^2x3^2x5^2x7 | 60 | 22122101 | 10 |
821 | 6311 | 2x5x631 | 10 | 22122202 | 2* |
822 | 6317 | 2^2x1579 | 2 | 22122222 | 2 |
823 | 6323 | 2x29x109 | 1 | 22200012 | 3* |
824 | 6329 | 2^3x7x113 | 1 | 22200102 | 3 |
825 | 6337 | 2^6x3^2x11 | 4 | 22200201 | 10 |
826 | 6343 | 2x3x7x151 | 1 | 22200221 | 2* |
827 | 6353 | 2^4x397 | 1 | 22201022 | 3 |
828 | 6359 | 2x11x17^2 | 34 | 22201112 | 2* |
829 | 6361 | 2^3x3x5x53 | 2 | 22201121 | 19 |
830 | 6367 | 2x3x1061 | 1 | 22201211 | 2* |
831 | 6373 | 2^2x3^3x59 | 2 | 22202001 | 2 |
832 | 6379 | 2x3x1063 | 1 | 22202021 | 4* |
833 | 6389 | 2^2x1597 | 1 | 22202122 | 2 |
834 | 6397 | 2^2x3x13x41 | 2 | 22202221 | 2 |
835 | 6421 | 2^2x3x5x107 | 20 | 22210211 | 6 |
836 | 6427 | 2x3^3x7x17 | 1 | 22211001 | 6* |
837 | 6449 | 2^4x13x31 | 1 | 22211212 | 3 |
838 | 6451 | 2x3x5^2x43 | 1 | 22211221 | 6* |
839 | 6469 | 2^2x3x7^2x11 | 4 | 22212121 | 2 |
840 | 6473 | 2^3x809 | 1 | 22212202 | 3 |
841 | 6481 | 2^4x3^4x5 | 270 | 22220001 | 7 |
842 | 6491 | 2x5x11x59 | 2 | 22220102 | 3* |
843 | 6521 | 2^3x5x163 | 5 | 22221112 | 6 |
844 | 6529 | 2^7x3x17 | 8 | 22221211 | 7 |
845 | 6547 | 2x3x1091 | 1 | 22222111 | 4* |
846 | 6551 | 2x5^2x131 | 2 | 22222122 | 2* |
847 | 6553 | 2^3x3^2x7x13 | 168 | 22222201 | 10 |
848 | 6563 | 2x17x193 | 34 | 100000002 | 10* |
849 | 6569 | 2^3x821 | 1 | 100000022 | 3 |
850 | 6571 | 2x3^2x5x73 | 1 | 100000101 | 10* |
851 | 6577 | 2^4x3x137 | 2 | 100000121 | 5 |
852 | 6581 | 2^2x5x7x47 | 5 | 100000202 | 14 |
853 | 6599 | 2x3299 | 2 | 100001102 | 2* |
854 | 6607 | 2x3^2x367 | 1 | 100001201 | 2* |
855 | 6619 | 2x3x1103 | 1 | 100002011 | 4* |
856 | 6637 | 2^2x3x7x79 | 6 | 100002211 | 2 |
857 | 6653 | 2^2x1663 | 1 | 100010102 | 2 |
858 | 6659 | 2x3329 | 2 | 100010122 | 3* |
859 | 6661 | 2^2x3^2x5x37 | 4 | 100010201 | 6 |
860 | 6673 | 2^4x3x139 | 2 | 100011011 | 5 |
861 | 6679 | 2x3^2x7x53 | 7 | 100011101 | 5* |
862 | 6689 | 2^5x11x19 | 1 | 100011202 | 3 |
863 | 6691 | 2x3x5x223 | 1 | 100011211 | 4* |
864 | 6701 | 2^2x5^2x67 | 5 | 100012012 | 2 |
865 | 6703 | 2x3x1117 | 3 | 100012021 | 2* |
866 | 6709 | 2^2x3x13x43 | 6 | 100012111 | 2 |
867 | 6719 | 2x3359 | 2 | 100012212 | 2* |
868 | 6733 | 2^2x3^2x11x17 | 4 | 100020101 | 2 |
868 | 6737 | 2^4x421 | 1 | 100020112 | 3 |
870 | 6761 | 2^3x5x13^2 | 1 | 100021102 | 2 |
871 | 6763 | 2x3x7^2x23 | 1 | 100021111 | 4* |
872 | 6779 | 2x3389 | 2 | 100022002 | 3* |
873 | 6781 | 2^2x3x5x113 | 4 | 100022011 | 2 |
874 | 6791 | 2x5x7x97 | 2 | 100022112 | 3* |
875 | 6793 | 2^3x3x283 | 4 | 100022121 | 10 |
876 | 6803 | 2x19x179 | 2 | 100022222 | 3* |
877 | 6823 | 2x3^2x379 | 1 | 100100201 | 2* |
878 | 6827 | 2x3413 | 2 | 100100212 | 3* |
879 | 6829 | 2^2x3x569 | 2 | 100100221 | 2 |
880 | 6833 | 2^4x7x61 | 1 | 100101002 | 3 |
881 | 6841 | 2^3x3^2x5x19 | 2 | 100101101 | 22 |
882 | 6857 | 2^3x857 | 1 | 100101222 | 3 |
883 | 6863 | 2x47x73 | 2 | 100102012 | 2* |
884 | 6869 | 2^2x17x101 | 1 | 100102102 | 2 |
885 | 6871 | 2x3x5x229 | 1 | 100102111 | 9* |
886 | 6883 | 2x3x31x37 | 111 | 100102221 | 4* |
887 | 6899 | 2x3449 | 2 | 100110112 | 3* |
888 | 6907 | 2x3x1151 | 1 | 100110211 | 4* |
889 | 6911 | 2x5x691 | 2 | 100110222 | 2* |
890 | 6917 | 2^2x7x13x19 | 1 | 100111012 | 2 |
891 | 6947 | 2x23x151 | 2 | 100112022 | 3* |
892 | 6949 | 2^2x3^2x193 | 4 | 100112101 | 2 |
893 | 6959 | 2x7^2x71 | 2 | 100112202 | 3* |
894 | 6961 | 2^4x3x5x29 | 2 | 100112211 | 13 |
895 | 6967 | 2x3^4x43 | 3 | 100120001 | 13* |
896 | 6971 | 2x5x17x41 | 34 | 100120012 | 4* |
897 | 6977 | 2^6x109 | 1 | 100120102 | 3 |
898 | 6983 | 2x3491 | 2 | 100120122 | 2* |
899 | 6991 | 2x3x5x233 | 15 | 100120221 | 2* |
900 | 6997 | 2^2x3x11x53 | 4 | 100121011 | 5 |
901 | 7001 | 2^3x5^3x7 | 1 | 100121022 | 3 |
902 | 7013 | 2^2x1753 | 1 | 100121202 | 2 |
903 | 7019 | 2x11^2x29 | 2 | 100121222 | 3* |
904 | 7027 | 2x3x1171 | 3 | 100122021 | 4* |
905 | 7039 | 2x3^2x17x23 | 1 | 100122201 | 2* |
906 | 7043 | 2x7x503 | 14 | 100122212 | 4* |
907 | 7057 | 2^4x3^2x7^2 | 8 | 100200101 | 5 |
908 | 7069 | 2^2x3x19x31 | 12 | 100200211 | 2 |
909 | 7079 | 2x3539 | 2 | 100201012 | 2* |
910 | 7103 | 2x53x67 | 2 | 100202002 | 2* |
911 | 7109 | 2^2x1777 | 1 | 100202022 | 2 |
912 | 7121 | 2^4x5x89 | 1 | 100202202 | 3 |
913 | 7127 | 2x7x509 | 14 | 100202222 | 2* |
914 | 7129 | 2^3x3^4x11 | 2 | 100210001 | 3 |
915 | 7151 | 2x5^2x11x13 | 2 | 100210212 | 2* |
916 | 7159 | 2x5^2x11x13 | 1 | 100211011 | 2* |
917 | 7177 | 2^3x3x13x23 | 12 | 100211211 | 10 |
918 | 7187 | 2x3593 | 2 | 100212012 | 3* |
919 | 7193 | 2^3x29x31 | 1 | 100212102 | 3 |
920 | 7207 | 2x3x1201 | 1 | 100212221 | 3* |
921 | 7211 | 2x5x7x103 | 2 | 100220002 | 3* |
922 | 7213 | 2^2x3x601 | 6 | 100220011 | 5 |
923 | 7219 | 2x3^2x401 | 3 | 100220101 | 4* |
924 | 7229 | 2^2x13x139 | 1 | 100220202 | 2 |
925 | 7237 | 2^2x3^3x67 | 4 | 100221001 | 2 |
926 | 7243 | 2x3x17x71 | 1 | 100221021 | 4* |
927 | 7247 | 2x3623 | 2 | 100221102 | 2* |
928 | 7253 | 2^2x7^2x37 | 1 | 100221122 | 2 |
929 | 7283 | 2x11x331 | 2 | 100222202 | 3* |
930 | 7297 | 2^7x3x19 | 38 | 101000021 | 5 |
931 | 7307 | 2x13x281 | 2 | 101000122 | 3* |
932 | 7309 | 2^2x3^2x7x29 | 2 | 101000201 | 6 |
933 | 7321 | 2^3x3x5x61 | 4 | 101001011 | 7 |
934 | 7331 | 2x5x733 | 10 | 101001112 | 4* |
935 | 7333 | 2^2x3x13x47 | 188 | 101001121 | 6 |
936 | 7349 | 2^2x11x67 | 1 | 101002012 | 2 |
937 | 7351 | 2x3x5^2x7^2 | 3 | 101002021 | 4* |
938 | 7369 | 2^3x3x307 | 12 | 101002221 | 7 |
939 | 7393 | 2^5x3x7x11 | 12 | 101010211 | 5 |
940 | 7411 | 2x3x5x13x19 | 1 | 101011111 | 4* |
941 | 7417 | 2^3x3^2x103 | 4 | 101011201 | 5 |
942 | 7433 | 2^3x929 | 1 | 101012022 | 3 |
943 | 7451 | 2x5^2x149 | 50 | 101012222 | 4* |
944 | 7457 | 2^5x233 | 1 | 101020012 | 3 |
945 | 7459 | 2x3x11x113 | 1 | 101020021 | 4* |
946 | 7477 | 2^2x3x7x89 | 4 | 101020221 | 2 |
947 | 7481 | 2^3x5x11x17 | 17 | 101021002 | 6 |
948 | 7487 | 2x19x197 | 2 | 101021022 | 3* |
949 | 7489 | 2^6x3^2x13 | 2 | 101021101 | 7 |
950 | 7499 | 2x23x163 | 2 | 101021202 | 3* |
951 | 7507 | 2x3^3x139 | 9 | 101022001 | 4* |
952 | 7517 | 2^2x1879 | 1 | 101022102 | 7 |
953 | 7523 | 2x3761 | 2 | 101022122 | 3* |
954 | 7529 | 2^3x941 | 1 | 101022212 | 3 |
955 | 7537 | 2^4x3x157 | 4 | 101100011 | 7 |
956 | 7541 | 2^2x5x13x29 | 1 | 101100022 | 2 |
957 | 7547 | 2x11x7^3 | 2 | 101100112 | 3* |
958 | 7549 | 2^2x3x17x37 | 2 | 101100121 | 2 |
959 | 7559 | 2x3779 | 2 | 101100222 | 2* |
960 | 7561 | 2^3x3^3x5x7 | 6 | 101101001 | 13 |
961 | 7573 | 2^2x3x631 | 12 | 101101111 | 2 |
962 | 7577 | 2^3x947 | 1 | 101101122 | 3 |
963 | 7583 | 2x17x223 | 2 | 101101212 | 2* |
964 | 7589 | 2^2x7x271 | 7 | 101102002 | 2 |
965 | 7591 | 2x3x5x11x23 | 15 | 101102011 | 2* |
966 | 7603 | 2x3x7x181 | 1 | 101102121 | 4* |
967 | 7607 | 2x3803 | 2 | 101102202 | 2* |
968 | 7621 | 2^2x3x5x127 | 4 | 101110021 | 2 |
969 | 7639 | 2x3x19x67 | 3 | 101110221 | 5* |
970 | 7643 | 2x3821 | 2 | 101111002 | 3* |
971 | 7649 | 2^5x239 | 1 | 101111022 | 3 |
972 | 7669 | 2^2x3^3x71 | 12 | 101112001 | 2 |
973 | 7673 | 2^3x7x137 | 1 | 101112012 | 3 |
974 | 7681 | 2^9x3x5 | 12 | 101112111 | 17 |
975 | 7687 | 2x3^2x7x61 | 9 | 101112201 | 2* |
976 | 7691 | 2x5x769 | 2 | 101112212 | 3* |
977 | 7699 | 2x3x1283 | 1 | 101120011 | 5* |
978 | 7703 | 2x3851 | 2 | 101120022 | 2* |
979 | 7717 | 2^2x3x643 | 12 | 101120211 | 2 |
980 | 7723 | 2x3^3x11x13 | 1 | 101121001 | 6* |
981 | 7727 | 2x3863 | 2 | 101121012 | 2* |
982 | 7741 | 2^2x3^2x5x43 | 4 | 101121201 | 7 |
983 | 7753 | 2^3x3x17x19 | 34 | 101122011 | 10 |
984 | 7757 | 2^2x7x277 | 7 | 101122022 | 2 |
985 | 7759 | 2x3^2x431 | 1 | 101122101 | 2* |
986 | 7789 | 2^2x3x11x59 | 2 | 101200111 | 2 |
987 | 7793 | 2^4x487 | 1 | 101200122 | 3 |
988 | 7817 | 2^3x977 | 1 | 101201112 | 3 |
989 | 7823 | 2x3911 | 2 | 101201202 | 2* |
990 | 7829 | 2^2x19x103 | 1 | 101201222 | 2 |
991 | 7841 | 2^5x5x7^2 | 7 | 101202102 | 12 |
992 | 7853 | 2^2x13x151 | 13 | 101202212 | 2 |
993 | 7867 | 2x3^2x19x23 | 1 | 101210101 | 6* |
994 | 7873 | 2^6x3x41 | 2 | 101210121 | 5 |
995 | 7877 | 2^2x11x179 | 1 | 101210202 | 5 |
996 | 7879 | 2x3x13x101 | 1 | 101210211 | 2* |
997 | 7883 | 2x7x563 | 2 | 101210222 | 3* |
998 | 7901 | 2^2x5^2x79 | 1 | 101211122 | 2 |
999 | 7907 | 2x59x67 | 2 | 101211212 | 3* |
1000 | 7919 | 2x37x107 | 2 | 101212022 | 2* |
Statistické vyhodnocení (n = 1000)
[editovat]- Délka periody = 0 (neperiodický zlomek pouze s jednocifernou předperiodou) - 0,1 %
- Délka periody maximální: - 38,3 %
- Délka periody poloviční (k/l = 2) - 30,6 %
- Délka periody třetinová (k/l = 3) - 6,0 %
- Délka periody čtvrtinová (k/l = 4) - 6,2 %
- Délka periody pětinová (k/l = 5) - 1,8 %
- Délka periody šestinová (k/l = 6) - 2,9 %
- Délka periody sedminová (k/l = 7) - 1,1 %
- Délka periody osminová (k/l = 8) - 1 %
- Délka periody devítinová (k/l = 9) - 1,1 %
- Délka periody desetinová (k/l = 10) - 1,5 %
- Délka periody jedenáctinová (k/l = 11) - 0,1 %
- Délka periody dvanáctinová (k/l = 12) - 2,7 %
- Délka periody třináctinová (k/l = 13) - 0,2 %
- Délka periody čtrnáctinová (k/l = 14) - 0,6 %
- Délka periody patnáctinová (k/l = 15) - 0,4 %
- Délka periody šestnáctinová (k/l = 16) - 0,3 %
- Délka periody sedmnáctinová (k/l = 17) - 0,3 %
- Délka periody osmnáctinová (k/l = 18) - 0,1 %
- Délka periody dvacetinová (k/l = 20) - 0,3 %
- Délka periody dvaadvacetinová (k/l = 22) - 0,3 %
- Délka periody čtyřiadvacetinová (k/l = 24) - 0,3 %
- Délka periody šestadvacetinová (k/l = 26) - 0,1 %
- Délka periody sedmadvacetinová (k/l = 27) - 0,3 %
- Délka periody třicetinová (k/l = 30) - 0,2 %
- Délka periody k/l = 32 - 0,1 %
- Délka periody k/l = 34 - 0,5 %
- Délka periody k/l = 36 - 0,2 %
- Délka periody k/l = 37 - 0,2 %
- Délka periody k/l = 38 - 0,1 %
- Délka periody k/l = 39 - 0,1 %
- Délka periody k/l = 46 - 0,1 %
- Délka periody k/l = 48 - 0,1 %
- Délka periody k/l = 50 - 0,1 %
- Délka periody k/l = 54 - 0,1 %
- Délka periody k/l = 59 - 0,1 %
- Délka periody k/l = 60 - 0,1 %
- Délka periody k/l = 75 - 0,1 %
- Délka periody k/l = 82 - 0,1 %
- Délka periody k/l = 84 - 0,2 %
- Délka periody k/l = 105 - 0,1 %
- Délka periody k/l = 110 - 0,1 %
- Délka periody k/l = 111 - 0,1 %
- Délka periody k/l = 125 - 0,1 %
- Délka periody k/l = 156 - 0,1 %
- Délka periody k/l = 168 - 0,1 %
- Délka periody k/l = 188 - 0,1 %
- Délka periody k/l = 270 - 0,1 %
- Délka periody k/l = 304 - 0,1 %
- Délka periody k/l = 350 - 0,1 %