Číselné soustavy/Dvanáctková soustava
Tato stránka je součástí databáze a projektu: | |
{cs}
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Příslušnost: Kusurija |
Toto je 100 % vlastní výzkum. Ne, že by informace, zde uvedené, nebyly dosud známy (naprostá většina z nich je známa od starověku, většina malého zbytku je známa z počátků novověku a nepatrný zbytek v posledních desetiletích); vlastním výzkumem je seřazení/prezentace těch informací a naznačené souvislosti mezi nimi. Připomínky jsou vítány - ale raději v diskusi/If You want parcipitate, You are welcome, but, better on discussion page. Tam může kdokoliv i přidávat dotazy či tipy na doplnění. Uvítám i obyčejný komentář kteréhokoliv "kolemjdoucího" o tom, zda je/není článek srozumitelný. Viz též en:Duodecimal nebo w:Dvanáctková soustava. kusurija.
Pro číslici 10(10) je používán náhradní symbol A(12), pro 11(10) - B(12)
Číselná řada
editovat- Číselná řada
0, 1, 2*, 3*, 4**, 5*, 6, 7*, 8**, 9**, A, B*, 10, 11*, 12, 13, 14**, 15*, 16, 17*, 18, 19, 1A, 1B*, 20,
21**, 22, 23**, 24, 25*, 26, 27*, 28**, 29, 2A, 2B, 30, 31*, 32, 33, 34, 35*, 36, 37*, 38, 39, 3A, 3B*, 40,
41**, 42, 43, 44, 45*, 46, 47, 48, 49, 4A, 4B*, 50, 51*, 52, 53, 54**, 55, 56, 57*, 58, 59, 5A, 5B*, 60,
61*, 62, 63, 64, 65, 66, 67*, 68, 69**, 6A, 6B*, 70, 71, 72, 73, 74, 75*, 76, 77, 78, 79, 7A, 7B, 80,
81*, 82, 83, 84, 85*, 86, 87*, 88, 89, 8A, 8B*, 90, 91*, 92, 93, 94, 95*, 96, 97, 98, 99, 9A, 9B, A0,
A1**, A2, A3, A4, A5**, A6, A7*, A8**, A9, AA, AB*, B0, B1, B2, B3, B4, B5*, B6, B7*, B8, B9, BA, BB, 100,
101, 102, 103, 104, 105*, 106, 107*, 108, 109, 10A, 10B, 110, 111*, 112, 113, 114, 115, 116, 117*, 118, 119, 11A, 11B*, 120,
121**, další členy řady viz tabulky ...
Poznámky
editovat* jsou označena prvočísla/means prime number/reiškia pirminius skaičius, ** - jejich mocniny/means true power of a prime/reiškia jųjų kelinys n laipsniu.
Rozšířenější variantou prezentace dvanáctkových čísel je klasický hodinový ciferník.
Úplně všechna prvočísla kromě 2 a 3 se při "hodinovém" zápisu nacházejí v segmentech 1,5,7,B (pokud prvočíslo vydělíme 12ti, tak mohou vyjít pouze tyto zbytky; toto však neplatí obráceně: pokud je číslo zakončené 1,5,7,B, může, ale nemusí jít o prvočíslo, viz 21, 2B atd.).
Malá násobilka
editovat× | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 1A | 1B | 20 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 1A | 1B | 20 |
2 | 2 | 4 | 6 | 8 | A | 10 | 12 | 14 | 16 | 18 | 1A | 20 | 22 | 24 | 26 | 28 | 2A | 30 | 32 | 34 | 36 | 38 | 3A | 40 |
3 | 3 | 6 | 9 | 10 | 13 | 16 | 19 | 20 | 23 | 26 | 29 | 30 | 33 | 36 | 39 | 40 | 43 | 46 | 49 | 50 | 53 | 56 | 59 | 60 |
4 | 4 | 8 | 10 | 14 | 18 | 20 | 24 | 28 | 30 | 34 | 38 | 40 | 44 | 48 | 50 | 54 | 58 | 60 | 64 | 68 | 70 | 74 | 78 | 80 |
5 | 5 | A | 13 | 18 | 21 | 26 | 2B | 34 | 39 | 42 | 47 | 50 | 55 | 5A | 63 | 68 | 71 | 76 | 7B | 84 | 89 | 92 | 97 | A0 |
6 | 6 | 10 | 16 | 20 | 26 | 30 | 36 | 40 | 46 | 50 | 56 | 60 | 66 | 70 | 76 | 80 | 86 | 90 | 96 | A0 | A6 | B0 | B6 | 100 |
7 | 7 | 12 | 19 | 24 | 2B | 36 | 41 | 48 | 53 | 5A | 65 | 70 | 77 | 82 | 89 | 94 | 9B | A6 | B1 | B8 | 103 | 10A | 115 | 120 |
8 | 8 | 14 | 20 | 28 | 34 | 40 | 48 | 54 | 60 | 68 | 74 | 80 | 88 | 94 | A0 | A8 | B4 | 100 | 108 | 114 | 120 | 128 | 134 | 140 |
9 | 9 | 16 | 23 | 30 | 39 | 46 | 53 | 60 | 69 | 76 | 83 | 90 | 99 | A6 | B3 | 100 | 109 | 116 | 123 | 130 | 139 | 146 | 153 | 160 |
A | A | 18 | 26 | 34 | 42 | 50 | 5A | 68 | 76 | 84 | 92 | A0 | AA | B8 | 116 | 124 | 122 | 130 | 13A | 148 | 156 | 164 | 172 | 180 |
B | B | 1A | 29 | 38 | 47 | 56 | 65 | 74 | 83 | 92 | A1 | B0 | BB | 10A | 119 | 128 | 137 | 146 | 155 | 164 | 173 | 182 | 191 | 1A0 |
10 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | A0 | B0 | 100 | 110 | 120 | 130 | 140 | 150 | 160 | 170 | 180 | 190 | 1A0 | 1B0 | 200 |
Dělitelnost
editovat- Dělitelnost dvěma: poslední číslice je sudá (0, 2, 4, 6, 8, A).
- Dělitelnost čtyřmi: poslední číslice je dělitelná čtyřmi (0, 4, 8).
- Dělitelnost osmi: poslední dvojčíslí je dělitelné osmi: (po sudé cifře následuje 0 nebo 8, po liché 4).
- Dělitelnost šestnácti (14): poslední dvojčíslí je dělitelné šestnácti: (00, 14, 28, 40, 54, 68, 80, 94, A8).
- Dělitelnost třemi: poslední číslice je dělitelná třemi (0, 3, 6, 9).
- Dělitelnost devíti: poslední dvojčíslí je dělitelné devíti: (po cifře dělitelné 3 následuje 0 nebo 9, po cifře 3n+1 následuje 6, po cifře 3n+2 následuje 3).
- Dělitelnost dvaceti sedmi (23): poslední trojčíslí je dělitelné dvaceti sedmi.
- Dělitelnost šesti: poslední číslice je dělitelná šesti (0, 6).
- Dělitelnost třiceti šesti (30): poslední dvojčíslí je dělitelné 36 (00, 30, 60, 90).
- Dělitelnost jedenácti (B): součet všech cifer (sčítání musí respektovat dvanáctkovou soustavu!) je dělitelný jedenácti (mezisoučet můžeme opět tímtéž způsobem ověřovat).
- Dělitelnost dvanácti: číslo zakončené nulou. Pokud zakončené dvěma nulami → dělitelné sto čtyřiceti čtyřmi (100) atd.
- Dělitelnost třinácti: 1. pokud je v čísle dvojice sousedních stejných cifer (11, 22, 33, 44, 55, 66, 77, 88, 99, AA nebo BB); nahradíme nulami; 2. odstraníme nuly z konce (dělení dvanácti); 3. poslední cifru odstraníme a přičteme ji do řádu stočtyřiačtyřicítek (ob jednu cifru vlevo). Postupy vhodně opakujeme, dokud nezískáme poslední dvojici cifer. Pokud jsou shodné (00, 11, 22, 33, 44, 55, 66, 77, 88, 99, AA, BB) je celé číslo dělitelné třinácti.
(Dělitelnost dalšími čísly je ověřitelná obtížněji).
Repunitová prvočísla
editovatPrvočísla, která se ve dvanáctkové soustavě skládají z p jedniček, kde p jsou tato: 2, 3, 5, 19, 97, 109, 317, 353, 701, 9739, 14951, 37573, 46889, 769543, ...
Převrácené hodnoty prvočísel
editovat- Převrácené hodnoty prvočísel (1/p); do 13 všech čísel (1/n) a vybraných součinů/reciprocal from 2 to 13 entirely and selected products.
l.p. - délka periody; pp=předperioda
2: 0,600000000000... l.p. = 0+1pp
3: 0,400000000000... l.p. = 0+1pp
4: 0,300000000000... l.p. = 0+1pp
5: 0,249724972497... l.p. = 4
6: 0,200000000000... l.p. = 0+1pp
7: 0,186A35186A35... l.p. = 6
8: 0,160000000000... l.p. = 0+2pp
9: 0,140000000000... l.p. = 0+2pp
10: 0,1249724972497... l.p. = 4+1pp
11: 0,111111111111... l.p. = 1
12: 0,100000000000... l.p. = 0+1pp
13: 0,0B0B0B0B0B0B... l.p. = 2
16: 0,090000000000... l.p. = 0+2pp
17: 0,08579214B36429A7... l.p. = 16
19: 0,076B45076B45... l.p. = 6
23: 0,06316948421... l.p. = 11
25: 0,05915343A0B6... l.p. = 20
27: 0,054000000000... l.p.= 0+3pp
29: 0,04B704B704B7... l.p. = 4
31: 0,0478AA093598... l.p. = 30
32: 0,046000000000... l.p. = 0+3pp
37: 0,03A85232B... l.p. = 9
41: 0,036190A653277... l.p. = 40
43: 0,0342295A3AA73... l.p. = 42
47: 0,0309236A882061... l.p. = 23
49: 0,02B322547A05... l.p. = 42
53: 0,02872B3A232055... l.p. = 52
59: 0,025355A9433073... l.p. = 29
61: 0,0243B2683192B4B... l.p. = 15
67: 0,02195AB13065... l.p. = 66
71: 0,020408142854... l.p. = 35
73: 0,01B807A82768... l.p. = 36
79: 0,019A593234126... l.p. = 26
81: 0,019400000000... l.p. = 0+4pp
83: 0,01899B864406... l.p. = 41
89: 0,0174BA47... l.p. = 8
97: 0,01599340BA62287B... l.p. = 16
101: 0,015138246217... l.p. = 100
103: 0,01493A176A59AA... l.p. = 102
107: 0,014196486344... l.p. = 53
109: 0,013A2A422509... l.p. = 54
113: 0,013360779039... l.p. = 112
121: 0,0123456789B... l.p. = 11
125: 0,0119A7A56996... l.p. = 100
127: 0,0117338278B8... l.p. = 126
128: 0,011600000000... l.p. = 0+4pp
131: 0,011235930336... l.p. = 65
137: 0,0107436063819... l.p. = 136
139: 0,010521A95B59... l.p. = 138
149: 0,00B7201B2403... l.p. = 148
151: 0,00B53A88A98417... l.p. = 150
157: 0,00B00B00B00B... l.p. = 3
...
Délky př.h. 5 - 49
editovat22621... l.p. = 5
659: ... l.p. = 7
4943: ... l.p. = 7
233: 0,0074BB47... l.p. = 8
80749: ... l.p. = 9
19141: ... l.p. = 10
266981089: ... l.p. = 22
20593: ... l.p. = 12
477517: ... l.p. = 13
20369233: ... l.p. = 13
211: 0,0082336BB39885... l.p. = 14
13063: ... l.p. = 14
661: ... l.p. = 15
9781: ... l.p. = 15
260753: ... l.p. = 16
2693651: ... l.p. = 17
74876782031: ... l.p. = 17
1657: ... l.p. = 18
1801: ... l.p. = 18
29043636306420266077: ... l.p. = 19
85403261: ... l.p. = 20
8177824843189: ... l.p. = 21
57154490053: ... l.p. = 22
39891250417: ... l.p. = 23
321218438243: ... l.p. = 23
193: 0,008B53505280BB3... l.p. = 24
2227777: ... l.p. = 24
303551: ... l.p. = 25
12629757106815551: ... l.p. = 25
36037: ... l.p. = 26
222379: ... l.p. = 26
306829: ... l.p. = 27
86769286104133: ... l.p. = 27
673: ... l.p. = 28
13156924369: ... l.p. = 28
24767: ... l.p. = 29
368939: ... l.p. = 29
3335672988472972523: ... l.p. = 29
421: 0,004130722406A1... l.p. = 30
35671: ... l.p. = 30
373: 0,00477139B360B6B9... l.p. = 31
126883621: ... l.p. = 31
23364027983: ... l.p. = 31
234187563803: ... l.p. = 31
153953: ... l.p. = 32
1200913648289: ... l.p. = 32
886381: ... l.p. = 33
5999137: ... l.p. = 33
661269577: ... l.p. = 33
2551: ... l.p. = 34
66900193189411: ... l.p. = 34
491: 0,003629525755... l.p. = 35
806821: ... l.p. = 35
6089651: ... l.p. = 35
425455031: ... l.p. = 35
122138321401: ... l.p. = 36
3933841: ... l.p. = 37
196560666553286126588980353347341: ... l.p. = 37
3307: ... l.p. = 38
8209: ... l.p. = 38
905265296671: ... l.p. = 38
36973: ... l.p. = 39
17654521: ... l.p. = 39
111704871987697: ... l.p. = 39
521: 0,003397309154B51... l.p. = 40
127921: ... l.p. = 40
67657441: ... l.p. = 40
1977898057: ... l.p. = 41
97668924760419986491370101198871: ... l.p. = 41
17011: ... l.p. = 42
1885339: ... l.p. = 42
431: 0,0040140541947... l.p. = 43
12313309: ... l.p. = 43
13444466603: ... l.p. = 43
32359758358562524963364461: ... l.p. = 43
2377: ... l.p. = 44
3697: ... l.p. = 44
6337: ... l.p. = 44
68368660537: ... l.p. = 44
30781: ... l.p. = 45
5234401: ... l.p. = 45
21456901: ... l.p. = 45
22981681: ... l.p. = 45
829: ... l.p. = 46
12421: ... l.p. = 46
49489630860836437: ... l.p. = 46
10617249990997021: ... l.p. = 47
4509348865973648037702008076799297: ... l.p. = 47
7681: ... l.p. = 48
40609: ... l.p. = 48
592734049: ... l.p. = 48
77617: ... l.p. = 49
27268138641564464649627762762033543154129: ... l.p. = 49
Délky př.h. 50 - 99
editovat1951: ... l.p. = 50
60601: ... l.p. = 50
73951: ... l.p. = 50
438472201: ... l.p. = 50
20757613: ... l.p. = 51
1510376787258214230993801577: ... l.p. = 51
677: ... l.p. = 52
2200289654266792155913: ... l.p. = 52
743: ... l.p. = 53
1694941: ... l.p. = 53
29504677: ... l.p. = 53
3089222210773: ... l.p. = 53
11639817348279944053139101: ... l.p. = 53
271: 0,006462483A91565... l.p. = 54
487: 0,00366B473634... l.p. = 54
39097: ... l.p. = 54
47336293: ... l.p. = 54
5281: ... l.p. = 55
442434513819541: ... l.p. = 55
5766308324790114380136001: ... l.p. = 55
79493013628273739882868481: ... l.p. = 56
114001: ... l.p. = 57
129733: ... l.p. = 57
20526705689989: ... l.p. = 57
2141456811167917: ... l.p. = 57
1402596253: ... l.p. = 58
1084876017544880450377: ... l.p. = 58
450377: ... l.p. = 59
33565608845417661253: ... l.p. = 59
576319092656266231937955277485160608227: ... l.p. = 59
186168115009253521: ... l.p. = 60
1706293: ... l.p. = 61
1000831393: ... l.p. = 61
35995548461449237368649937465097120608531155491049: ... l.p. = 61
1263499: ... l.p. = 62
173420475484059478781201647: ... l.p. = 62
708391688852136898302887193094373767489: ... l.p. = 63
769: ... l.p. = 64
44450180997616192602560262634753: ... l.p. = 64
1932288541: ... l.p. = 65
596827590710414051: ... l.p. = 65
38346067178495390031121: ... l.p. = 65
199: 0,008824B40595... l.p. = 66
1453: ... l.p. = 66
5479: ... l.p. = 66
39105782299: ... l.p. = 66
45464593: ... l.p. = 67
16180787699: ... l.p. = 67
17577834702049211: ... l.p. = 67
14194250210247370482234494581820525581: ... l.p. = 67
79471453801: ... l.p. = 68
427152748915310957418697: ... l.p. = 68
6279903241741823809: ... l.p. = 69
44512779475648508632485424501: ... l.p. = 69
86121235964912696227980301: ... l.p. = 70
5113: ... l.p. = 71
19597: ... l.p. = 71
37984848524797723599443142193849504165878058073506632204903320475097: ... l.p. = 71
2231857: ... l.p. = 72
3684845809: ... l.p. = 72
9666387937: ... l.p. = 72
50654608967364071: ... l.p. = 73
10819801896323246322047439823759030271173906614865775084804891: ... l.p. = 73
5250079: ... l.p. = 74
4150805645839: ... l.p. = 74
30023720899326796981: ... l.p. = 74
601: ... l.p. = 75
80342401: ... l.p. = 75
304388904961188288704032230609001: ... l.p. = 75
1977673: ... l.p. = 76
176477034940417: ... l.p. = 76
2016864235215616489: ... l.p. = 76
4621: ... l.p. = 77
379101493: ... l.p. = 77
191199728567: ... l.p. = 77
50565974802015289: ... l.p. = 77
3049643652382570802424251: ... l.p. = 77
313: ... l.p. = 78
859: ... l.p. = 78
17793645013: ... l.p. = 78
17991125491: ... l.p. = 78
162109: ... l.p. = 79
130479719: ... l.p. = 79
77370537348083186697234206796711379983732285083928961107335722804796087: ... l.p. = 79
34182189107670005092862256297738241: ... l.p. = 80
5937949: ... l.p. = 81
660198074631409: ... l.p. = 81
4813672836681861967666457690352914053: ... l.p. = 81
12301: ... l.p. = 82
1684652527: ... l.p. = 82
13657436942593: ... l.p. = 82
47936660465075191: ... l.p. = 82
167: ... l.p. = 83
997: ... l.p. = 83
1993: ... l.p. = 83
22079: ... l.p. = 83
557889481: ... l.p. = 83
35238620437: ... l.p. = 83
2731547200091: ... l.p. = 83
10052468384786123: ... l.p. = 83
8580328460037248736936629989: ... l.p. = 83
80048881834094656438235281: ... l.p. = 84
1021: ... l.p. = 85
22271: ... l.p. = 85
4832761: ... l.p. = 85
5383015065849288291601: ... l.p. = 85
8851245553587646908851: ... l.p. = 85
71209: ... l.p. = 86
372060253: ... l.p. = 86
10273420681: ... l.p. = 86
7177727914895266742809: ... l.p. = 86
349: ... l.p. = 87
1741: ... l.p. = 87
74233562929: ... l.p. = 87
936727604123432773: ... l.p. = 87
58989511024900847298035017: ... l.p. = 87
67651673: ... l.p. = 88
217245283970973197278039678825711337: ... l.p. = 88
179: ... l.p. = 89
2137: ... l.p. = 89
120863: ... l.p. = 89
3163346581: ... l.p. = 89
16649789224075621: ... l.p. = 89
35035317869663569: ... l.p. = 89
255053775727906405559: ... l.p. = 89
4656868283889935515079: ... l.p. = 89
181: ... l.p. = 90
47263556341: ... l.p. = 90
9298142299081: ... l.p. = 90
152705150363039: ... l.p. = 91
1091317880778743355464526983: ... l.p. = 91
2763479267390955155925039281253414013: ... l.p. = 91
302669957628317561107372328495588758678132736113: ... l.p. = 92
8929: ... l.p. = 93
1261081: ... l.p. = 93
16185865453: ... l.p. = 93
283567119204578007220894586434442536700248177: ... l.p. = 93
18049: ... l.p. = 94
12349627: ... l.p. = 94
21622395121: ... l.p. = 94
8405516927437711741762092271: ... l.p. = 94
191: ... l.p. = 95
2411179444704156047429462350631072712288681299074776570877408773293550795851: ... l.p. = 95
7489: ... l.p. = 96
3122881: ... l.p. = 96
1461573322938242802306049: ... l.p. = 96
43570062353753446053455610056679740005056966111842089407838902783209959981593077811330507328327968191581: ... l.p. = 97
8356734198817312279063: ... l.p. = 98
253265324522131745115559: ... l.p. = 98
397: ... l.p. = 99
3169: ... l.p. = 99
9143902271574719666671109149: ... l.p. = 99
4895296942204991493950514043177: ... l.p. = 99
Délky př.h. 100 - 149
editovat1201: ... l.p. = 100
700936801: ... l.p. = 100
2334798291701: ... l.p. = 100
14807687049800501: ... l.p. = 100
20359133179252403: ... l.p. = 101
44376585437740491243643115073310058804985067116083769691305215288274490044481461829581371567: ... l.p. = 101
307: ... l.p. = 102
380355066717049: ... l.p. = 102
3077130526103089: ... l.p. = 102
3709: ... l.p. = 103
7417: ... l.p. = 103
1309643353: ... l.p. = 103
13951770188639477959439: ... l.p. = 103
226319692803146344014357964333823: ... l.p. = 103
1143630800580569683259972155090034378209: ... l.p. = 103
288913: ... l.p. = 104
25265657: ... l.p. = 104
865727447657645665290857439836665912121: ... l.p. = 104
2521: ... l.p. = 105
126001: ... l.p. = 105
9562853581: ... l.p. = 105
2268301966722094170973637436845641: ... l.p. = 105
3181: ... l.p. = 106
33073: ... l.p. = 106
77366539: ... l.p. = 106
14861828970617714166257633556559606415803: ... l.p. = 106
126047: ... l.p. = 107
8368183883: ... l.p. = 107
2557625265419126759985741006638459479670209719434169417165988970731794389915911622153405973231480937: ... l.p. = 107
433: ... l.p. = 108
3889: ... l.p. = 108
42729553: ... l.p. = 108
165042892009: ... l.p. = 108
59686188135337: ... l.p. = 108
388475052482842970801320278964160171426121951256610654799120070705613530182445862582590623785872890159937874339918941: ... l.p. = 109
331: ... l.p. = 110
6271: ... l.p. = 110
164018234982236911: ... l.p. = 110
46768482029635739671: ... l.p. = 110
460800089869190921983707017028122544209524176520602249782381908735149795083701: ... l.p. = 111
2129: ... l.p. = 112
244721: ... l.p. = 112
527633: ... l.p. = 112
22232950788588289: ... l.p. = 112
9150512297530943809: ... l.p. = 112
227: ... l.p. = 113
7450459827983: ... l.p. = 113
316093109705519: ... l.p. = 113
753692779085581623227: ... l.p. = 113
19992624083894437511830336494340416078644415773480260275067477565243917: ... l.p. = 113
229: ... l.p. = 114
62701: ... l.p. = 114
3178598581687: ... l.p. = 114
884986147755302617: ... l.p. = 114
2531: ... l.p. = 115
336411390032165175081612442998689994331488734123004597263722316421189741604526669951065728711: ... l.p. = 115
1277: ... l.p. = 116
378509: ... l.p. = 116
9533379150437: ... l.p. = 116
507127415651053993: ... l.p. = 116
39821279284774257217: ... l.p. = 116
6553: ... l.p. = 117
774101091754693: ... l.p. = 117
5363939350752581033772013: ... l.p. = 117
18453409033565586419112697648130953: ... l.p. = 117
709: ... l.p. = 118
1063: ... l.p. = 118
25232402089: ... l.p. = 118
21271304642628211: ... l.p. = 118
892931082048097905588129990661: ... l.p. = 118
239: ... l.p. = 119
1429: ... l.p. = 119
137089: ... l.p. = 119
23082431: ... l.p. = 119
33876363758168383790211981852120549005187845367983408330311762194319117404851729030929: ... l.p. = 119
241: ... l.p. = 120
141841649932724596178535977341201: ... l.p. = 120
7019: ... l.p. = 121
9971358563: ... l.p. = 121
13448069471: ... l.p. = 121
36801041190212623908408703917306494049155113: ... l.p. = 121
134584409757064878915359991836917880675451536595733: ... l.p. = 121
111997: ... l.p. = 122
7361466337: ... l.p. = 122
5188602220069: ... l.p. = 122
12158823644892290381600372389012829461: ... l.p. = 122
198135604158907130782358027548853011255022891234380210220638216697707952818607731672501: ... l.p. = 123
617521: ... l.p. = 124
26825115448057: ... l.p. = 124
87873272984241400393: ... l.p. = 124
38443163532797107825239361: ... l.p. = 124
251: ... l.p. = 125
13751: ... l.p. = 125
118751: ... l.p. = 125
2020595240666906175216926919443329256665417037375006384839685133690884988810355471332414873000251: ... l.p. = 125
79277059: ... l.p. = 126
2537121133: ... l.p. = 126
27764103747580691401: ... l.p. = 126
88750555799: ... l.p. = 127
2597995311343175210111334225450311: ... l.p. = 127
44855543002825033697720871057672263756865146750479219690596162336002077638062228173536814333: ... l.p. = 127
36097: ... l.p. = 128
81281: ... l.p. = 128
69619841: ... l.p. = 128
73389730593973249: ... l.p. = 128
77941952137713139794518937770197249: ... l.p. = 128
3784861: ... l.p. = 129
1085519359321015557480968537352630926574094702421889253959355080487956521679317029369: ... l.p. = 129
37831: ... l.p. = 130
52960051: ... l.p. = 130
3417149308806048848886113884045970301001: ... l.p. = 130
263: ... l.p. = 131
815445233670199794679089054355466496480869783292614187295875299786076215107692911610795388351530437490847296932822002153819841240735668859: ... l.p. = 131
109297: ... l.p. = 132
219649: ... l.p. = 132
1717321: ... l.p. = 132
358976694345244191509108377: ... l.p. = 132
67033: ... l.p. = 133
365876351: ... l.p. = 133
153373238287849222871747653: ... l.p. = 133
86778760327503691593013894228582105055028770779566151156583792136083460735911: ... l.p. = 133
44623: ... l.p. = 134
2291803: ... l.p. = 134
1518672345938013768669908366811731011574374727044533563648497: ... l.p. = 134
11719914497486992163161: ... l.p. = 135
45726761961907655567941.937464483504494178640285420770901: ... l.p. = 135
17019338113: ... l.p. = 136
501089808860298305508198111955017967765124897733633407801: ... l.p. = 136
7894763: ... l.p. = 137
99485649955791433: ... l.p. = 137
4270306101158898662140485488376974936909627: ... l.p. = 137
1909323323531032592824521040398699346378480254913270735143612704026324281370069577
277: ... l.p. = 138
8419: ... l.p. = 138
22542577: ... l.p. = 138
129512587: ... l.p. = 138
348670382471247108491803: ... l.p. = 138
32830711631: ... l.p. = 139
149723271154501574581: ... l.p. = 139
13976446202665769757077661403698383112061728500003: ... l.p. = 139
1342252293639677786112433290408438740688955155541371153388457379745069: ... l.p. = 139
71874601: ... l.p. = 140
10365509281: ... l.p. = 140
1612092376073761: ... l.p. = 140
5298455664688950121: ... l.p. = 140
3504133: ... l.p. = 141
5136890928835357: ... l.p. = 141
98142371960826937423887573866630190692479249397249110266970173233791660304869: ... l.p. = 141
48058613330617: ... l.p. = 142
67012200840037529491338272681863005761074227988731301506393709: ... l.p. = 142
1068975337: ... l.p. = 143
28151299084766629509889009: ... l.p. = 143
96715223228653637834905941377184481442578253854957266622804692882369624823117537634934976433917: ... l.p. = 143
577: ... l.p. = 144
2752993: ... l.p. = 144
15670947324691873: ... l.p. = 144
253877164546293805845289537: ... l.p. = 144
8458141: ... l.p. = 145
152107892171: ... l.p. = 145
2833016858862791: ... l.p. = 145
1857106944329070249292170779930540291991415466502404994621328170606782147804924588018461: ... l.p. = 145
439: ... l.p. = 146
346059859: ... l.p. = 146
6325722879776491: ... l.p. = 146
482571534122030596647601188990898075105644074814931: ... l.p. = 146
7622826121: ... l.p. = 147
3053140047080689861: ... l.p. = 147
29014061524726574502110353: ... l.p. = 147
6633662756098833340120457931209406613: ... l.p. = 147
48989: ... l.p. = 148
417509: ... l.p. = 148
21617621: ... l.p. = 148
13721476576343266613693: ... l.p. = 148
551930982323870847324371378921584061: ... l.p. = 148
11027: ... l.p. = 149
1919442572897362836803025134228929025089: ... l.p. = 149
269761817023618738054898710331586374089228106297387313320439637456423454632878787306653982674484364732144252564402447: ... l.p. = 149
Délky př.h. 150 - 199
editovat2251: ... l.p. = 150
395251: ... l.p. = 150
1696501: ... l.p. = 150
6625387201: ... l.p. = 150
9733315100252251: ... l.p. = 150
16537237851564688924261407041648853990657743: ... l.p. = 151
49717867800323378818763399005960016487476598349539211569747005759153228241911167043200927016884285731030248831349126419: ... l.p. = 151
7889080897: ... l.p. = 152
143529155542303647618953713: ... l.p. = 152
443672215974581392068945992638035310614481: ... l.p. = 152
613: ... l.p. = 153
3673: ... l.p. = 153
6128894197: ... l.p. = 153
74876782031: ... l.p. = 153
1644982406845777: ... l.p. = 153
216486853727393579797: ... l.p. = 153
53294740218449478902707453: ... l.p. = 153
152407927405295101492510321: ... l.p. = 153
463: ... l.p. = 154
131842632495852886908480366996855305097940767587286814024524643: ... l.p. = 154
311: ... l.p. = 155
17379312247321: ... l.p. = 155
32179535439223966162981: ... l.p. = 155
504159451473002560362013386812584959284471: ... l.p. = 155
33191131016885340616262613962982071155757795619241: ... l.p. = 155
3247609: ... l.p. = 156
23709901801: ... l.p. = 156
826440674398283972061724271853629296
3769: ... l.p. = 157
896587135133828036528709133: ... l.p. = 157
726514529033543807919801287197040980001034796785686751889280796142346177053039481359967328156592628916320568761087683134979537591149664153: ... l.p. = 157
5434599708664429598203: ... l.p. = 158
270354982362100782692527: ... l.p. = 158
942482178219527648423785970493560472433: ... l.p. = 158
30529: ... l.p. = 159
526468081: ... l.p. = 159
564397849: ... l.p. = 159
1736370721277224009155444534432182019127030256340934397106883936725607336225568025931951501: ... l.p. = 159
2081: ... l.p. = 160
2478806527025281: ... l.p. = 160
214538593513800809975201: ... l.p. = 160
1055795013932440451117008321: ... l.p. = 160
1933: ... l.p. = 161
36709: ... l.p. = 161
8820656418738378259508980670038453: ... l.p. = 161
41460125822004983152753211208306228597534503076316865894053918864105885666680499767089918549796916129: ... l.p. = 161
163: ... l.p. = 162
811: ... l.p. = 162
1621: ... l.p. = 162
641065152502677063709: ... l.p. = 162
137370551967460020621819248641: ... l.p. = 162
3123955328977664272236491: ... l.p. = 163
3085088915212385601857770168909: ... l.p. = 163
55276244920832349213682617306044898442152509401: ... l.p. = 163
13760663909252798541286625152839847595459184536940409178506132713928843403: ... l.p. = 163
2145330334686097898815876574149649846002661637753455506782746617352378068325262093026414
475350812105401: ... l.p. = 165
495473987180157340676069207266295695627847985005270254273529924740994821: ... l.p. = 165
499: ... l.p. = 166
8305623819547: ... l.p. = 166
5277826961453441457872455753: ... l.p. = 166
1312720053239325314331064215313762367151994237: ... l.p. = 166
553194672940916339: ... l.p. = 167
274787779991798981348255424153799005278439673197658162671692362110336935574133136687869711053944061904008280493242545890122932681746748513120272150382983739481583: ... l.p. = 167
337: ... l.p. = 168
10753: ... l.p. = 168
284065793761: ... l.p. = 168
6139630946836199128444927909913041: ... l.p. = 168
273854127119: ... l.p. = 169
42085870270393: ... l.p. = 169
171074557867837392887: ... l.p. = 169
2236719302927635268499980471: ... l.p. = 169
510295653205112633137033670172000255687822049792727193195438340974080560298215898167232721863159: ... l.p. = 169
235111: ... l.p. = 170
32182021: ... l.p. = 170
182593435609480192119451: ... l.p. = 170
916196619837593976916862387956861: ... l.p. = 170
2053: ... l.p. = 171
25309: ... l.p. = 171
6849505795445131624269993245955320103423343547586750991698473790903602784158638674979519144548189694770153457: ... l.p. = 171
173: ... l.p. = 172
195049: ... l.p. = 172
1260760517: ... l.p. = 172
247819688992536197: ... l.p. = 172
881572852017880141483757: ... l.p. = 172
478633080942750137752934449682953: ... l.p. = 172
347: ... l.p. = 173
6229: ... l.p. = 173
178537: ... l.p. = 173
16520618724247316579377: ... l.p. = 173
133631610959030020559251207363442895201402950558413165227170111: ... l.p. = 173
532784191494315471504495678453507199648496037932078360378523339804089982454825476659675773: ... l.p. = 173
2032959451: ... l.p. = 174
1390046661396154093141: ... l.p. = 174
1041124183332323306521144052251: ... l.p. = 174
2453984000813135412614651: ... l.p. = 175
1293826533891450994868271596598439849413334543456615339691323886380093753877713445097702452206322508089651: ... l.p. = 175
2481601: ... l.p. = 176
6188868577: ... l.p. = 176
49514757601: ... l.p. = 176
8200539405448794297995729: ... l.p. = 176
34640120157480929169754956126514097: ... l.p. = 176
6373: ... l.p. = 177
472683457: ... l.p. = 177
29664964237: ... l.p. = 177
48253224577: ... l.p. = 177
215006774581: ... l.p. = 177
2245657505577169: ... l.p. = 177
247679421927970902164473: ... l.p. = 177
272343678517160290441089695727320929951513: ... l.p. = 177
7477: ... l.p. = 178
572511347126394968679427: ... l.p. = 178
20029774803390781007927452919681748300758231180524216087657680800539: ... l.p. = 178
359: ... l.p. = 179
23242390265122325064379304298589468949738258002565951689210803734501431778880443: ... l.p. = 179
162433319470869340400973498708547953797041783745913927091829885684676716131109003453444161324480216810781423521: ... l.p. = 179
1653489395093881: ... l.p. = 180
33276147172349761: ... l.p. = 180
114859125525232035721: ... l.p. = 180
56473: ... l.p. = 181
188954578048573195547226930925499: ... l.p. = 181
18290036476410487692982572830935005518495880019636575074393661751468219797215696204019238119385823105526302822016238590937129862203540935854528950240131629663: ... l.p. = 181
1093: ... l.p. = 182
44773: ... l.p. = 182
2322926580703: ... l.p. = 182
2620222710234691381: ... l.p. = 182
1827265954216126959080718883472410765663: ... l.p. = 182
7321: ... l.p. = 183
7756968162619561: ... l.p. = 183
51280228253053574084121420730094747743486380034839349957510263011960921576135124819017763309155931405100400821: ... l.p. = 183
23369: ... l.p. = 184
36433: ... l.p. = 184
44805941084686008411833430562841: ... l.p. = 184
2434770565625247333181980245955647341839167211213366673: ... l.p. = 184
6441085856120368040593352248224844221696350548901425367127551: ... l.p. = 185
35921422555047917932074896584733055075300766351952843673918955693674024301804860823392336360971: ... l.p. = 185
5209: ... l.p. = 186
24221034391: ... l.p. = 186
1188277798029874021: ... l.p. = 186
406930823656748252627076134956471: ... l.p. = 186
7824829: ... l.p. = 187
6367170107: ... l.p. = 187
5272292087965614119: ... l.p. = 187
162850852401561531206652538446531295521063252616075973302680156277236689496320226323705897485495072792315740154819213297073559556172809933: ... l.p. = 187
941: ... l.p. = 188
1129: ... l.p. = 188
6581: ... l.p. = 188
56078144420933: ... l.p. = 188
1645156433564398201: ... l.p. = 188
19141017664453895628642529: ... l.p. = 188
154927249650410712221018916838829: ... l.p. = 188
356102131373591077799531463837732078298074382013636335002711323301197924321463772286101205697762972433003957808529409: ... l.p. = 189
251831088886489381: ... l.p. = 190
2161228734480307261241719647908242265186505403521538076853961: ... l.p. = 190
383: ... l.p. = 191
2293: ... l.p. = 191
5576463887: ... l.p. = 191
492394777262152830140779120613620261: ... l.p. = 191
5011297079889469192999311802074780570901209987243642337684933599670981145167969755958766216665511353401711328613499376505460601894122960696790191439504549: ... l.p. = 191
1153: ... l.p. = 192
2689: ... l.p. = 192
4993: ... l.p. = 192
22273: ... l.p. = 192
3124609: ... l.p. = 192
3531754753: ... l.p. = 192
307081134731879440743153282892657658881: ... l.p. = 192
6563: ... l.p. = 193
143593: ... l.p. = 193
876772490946684644304688840806507849770157877: ... l.p. = 193
45217442809188335376258573027831301630813739280371078165650059881162723213257: ... l.p. = 193
46575681210815057292336472816642998460431175135914483032447698371111751624211: ... l.p. = 193
322429: ... l.p. = 194
114341376978470849178724787979196646048880081942968716424922631891364410053190924543348620486181609: ... l.p. = 194
24263325716698381: ... l.p. = 195
457644272256236018195571421: ... l.p. = 195
3921540241899997743946348436968909016942736810545077310247301: ... l.p. = 195
197: ... l.p. = 196
81667460066590930293917: ... l.p. = 196
278425746665712484367632951224186341360878655239475638051676765233: ... l.p. = 196
1159476869764471212326146050644254795037901851473126597328861230702273: ... l.p. = 197
31120796007502267272482449140122004255744191738631298984520050737452710284343466737369062910174217774560583587229141001505348482068028243056797: ... l.p. = 197
2971: ... l.p. = 198
5690162377645219: ... l.p. = 198
43504476926662819: ... l.p. = 198
76659283352997582300893022139: ... l.p. = 198
11941: ... l.p. = 199
50445745393: ... l.p. = 199
534989935052173: ... l.p. = 199
452633703528239603: ... l.p. = 199
2408107039243923308111: ... l.p. = 199
2312692670375121170444589429146936204459886179063617714050658717: ... l.p. = 199
6396226359347685588837444749415643095383843233709216202423401486042282214687615493: ... l.p. = 199
Délky př.h. 200 - 249
editovat15601: ... l.p. = 200
55201: ... l.p. = 200
9880627023929801: ... l.p. = 200
25387257958840823213543895005809367541053352454261365941425001: ... l.p. = 200
492853: ... l.p. = 201
337362557588033581: ... l.p. = 201
2340033136012362062475950746729856638028655463932144793: ... l.p. = 201
66734594481494958932810836103618795973164790430736706866740138861: ... l.p. = 201
1213: ... l.p. = 202
21211: ... l.p. = 202
29712592972530663322830966103003507869876868427444152996133642983728357927973161994894362291830991307: ... l.p. = 202
2437: ... l.p. = 203
2032540343: ... l.p. = 203
168010120865329: ... l.p. = 203
4038644506148119439397242761: ... l.p. = 203
5472616460813774610754253660920424668559569452291686413750119699340708919551915631787854681497788945570989108981373828628985999: ... l.p. = 203
409: ... l.p. = 204
615782161: ... l.p. = 204
4671482221287575054208235065819961189307779489369909526569: ... l.p. = 204
50860501: ... l.p. = 205
61708179551: ... l.p. = 205
109423722071: ... l.p. = 205
594458960231: ... l.p. = 205
1272168094511: ... l.p. = 205
59114755745455413432518951: ... l.p. = 205
802612658538701099788630604070125125897621: ... l.p. = 205
3471438046304917241193630670639053728389663689624971: ... l.p. = 205
1237: ... l.p. = 206
289765369: ... l.p. = 206
1003041977479: ... l.p. = 206
13561251678157: ... l.p. = 206
987452638049443: ... l.p. = 206
237720321284227801429: ... l.p. = 206
96184998684838077544113595020417341221: ... l.p. = 206
...
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