Číselné soustavy/Dvanáctková soustava

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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]

Malá násobilka dvanáctkové soustavy
× 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 dvěmi: 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[editovat]

Prvočísla, 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[editovat]

22621... 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[editovat]

1951: ... 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[editovat]

1201: ... 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[editovat]

2251: ... 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[editovat]

15601: ... 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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