Číselné soustavy/Šedesátková soustava

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Příslušnost: Kusurija

Soustava o základu 60 (w:šedesátková soustava), také hexagesimální nebo sexagesimální je nejstarší známá poziční číselná soustava, která vznikala patrně v Sumeru a Akkadu od 4. do 3. tisíciletí př. n. l. Více viz v odkazovaných článcích, zejména na anglické wikipedii. Historicky současné její používání (od 16. - 17. stol., podrobnosti viz odkazované články) pro čas (hodiny, minuty, sekundy) a podobně pro úhly, (stupně) a zeměpisné souřadnice není důsledně konzistentní, protože vyšší řád - u času den (24 h), u úhlů celý úhel (360°), u zeměpisných souřadnic 90° S/J, 180° V/Z je odlišný od 60; ještě vyšší řády tam prakticky nepřicházejí v úvahu... Ještě bych chtěl zdůraznit, že určité specifické rysy šedesátkové soustavy vyplývají z toho, že 60 je nejmenším společným násobkem prvních šesti číslic: 1, 2, 3, 4, 5, a 6. Nejbližší faktoriál 5! = 120 má "redundantní" jednu dvojku v prvočíselném rozkladu. Viz podobně nižší 12 nebo vyšší 420. Pro srovnání: součinem prvních tří prvočísel (2, 3 a 5) je 30, prvních čtyř (2, 3, 5 a 7) - 210.

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. Tam může kdokoliv i přidávat dotazy či tipy na doplnění. Uvítám i obyčejný komentář kteréhokoliv "kolemjdoucího" o tom, zda je/není článek srozumitelný. kusurija.

Pro číslice menší než 10(10) jsou (počínaje osmnáctkovou soustavou) používány náhradní symboly s přidanou nulou (0) vpředu a i pro číslice vyšší jsou používány dvojčíselné symboly. Navzájem jsou symboly odděleny dvojtečkou s výjimkou čísel jednosymbolových, tedy 00(60) - 59(60). Z praktických důvodů nebudu systém, uvedený v en.wiki (49````,36```,25``,15`,1°,15',25'',36''',49'''') ani případné další podobné používat, spokojím se se systémem, používaným úspěšně i v sousedních číselných soustavách na tomto projektu.

Číselná řadaEditovat

* (hvězdičkou) jsou označena prvočísla, ** jsou označeny mocniny prvočísel

  • Číselná řada

00, 01, 02*, 03*, 04**, 05*, 06, 07*, 08**, 09**, 10, 11*, 12, 13*, 14, 15, 16**, 17*, 18, 19*, 20, 21, 22, 23*, 24, 25**, 26, 27**, 28, 29*, 30, 31*, 32**, 33, 34, 35, 36, 37*, 38, 39, 40, 41*, 42, 43*, 44, 45, 46, 47*, 48, 49**, 50, 51, 52, 53*, 54, 55, 56, 57, 58, 59*, 01:00,

01:01*, 01:02, 01:03, 01:04**, 01:05, 01:06, 01:07*, 01:08, 01:09, 01:10, 01:11*, 01:12, 01:13*, 01:14, 01:15, 01:16, 01:17, 01:18, 01:19*, 01:20, 01:21**, 01:22, 01:23*, 01:24, 01:25, 01:26, 01:27, 01:28, 01:29*, 01:30, 01:31, 01:32, 01:33, 01:34, 01:35, 01:36, 01:37*, 01:38, 01:39, 01:40, 01:41*, 01:42, 01:43*, 01:44, 01:45, 01:46, 01:47*, 01:48, 01:49*, 01:50, 01:51, 01:52, 01:53*, 01:54, 01:55, 01:56, 01:57, 01:58, 01:59, 02:00,

02:01**, 02:02, 02:03, 02:04, 02:05**, 02:06, 02:07*, 02:08**, 02:09, 02:10, 02:11*, 02:12, 02:13, 02:14, 02:15, 02:16, 02:17*, další členy řady viz tabulky ...

Malá násobilkaEditovat

Malá násobilka šedesátkové soustavy
× 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20
01 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20
02 02 04 06 08 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40
03 03 06 09 12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 57 01:00
04 04 08 12 16 20 24 28 32 36 40 44 48 52 56 01:00 01:04 01:08 01:12 01:16 01:20
05 05 10 15 20 25 30 35 40 45 50 55 01:00 01:05 01:10 01:15 01:20 01:25 01:30 01:35 01:40
06 06 12 18 24 30 36 42 48 54 01:00 01:06 01:12 01:18 01:24 01:30 01:36 01:42 01:48 01:54 02:00
07 07 14 21 28 35 42 49 56 01:03 01:10 01:17 01:24 01:31 01:38 01:45 01:52 01:59 02:06 02:13 02:20
08 08 16 24 32 40 48 56 01:04 01:12 01:20 01:28 01:36 01:44 01:52 02:00 02:08 02:16 02:24 02:32 02:40
09 09 18 27 36 45 54 01:03 01:12 01:21 01:30 01:39 01:48 01:57 02:06 02:15 02:24 02:33 02:42 02:51 03:00
10 10 20 30 40 50 01:00 01:10 01:20 01:30 01:40 01:50 02:00 02:10 02:20 02:30 02:40 02:50 03:00 03:10 03:20
11 11 22 33 44 55 01:06 01:17 01:28 01:39 01:50 02:01 02:12 02:23 02:34 02:45 02:56 03:07 03:18 03:29 03:40
12 12 24 36 48 01:00 01:12 01:24 01:36 01:48 02:00 02:12 02:24 02:36 02:48 03:00 03:12 03:24 03:26 03:48 04:00
13 13 26 39 52 01:05 01:18 01:31 01:44 01:57 02:10 02:23 02:36 02:49 03:02 03:15 03:28 03:41 03:54 04:07 04:20
14 14 28 42 56 01:10 01:24 01:38 01:52 02:06 02:20 02:34 02:48 03:02 03:16 03:30 03:44 03:58 04:12 04:26 04:40
15 15 30 45 01:00 01:15 01:30 01:45 02:00 02:15 02:30 02:45 03:00 03:15 03:30 03:45 04:00 04:15 04:30 04:45 05:00
16 16 32 48 01:04 01:20 01:36 01:52 02:08 02:24 02:40 02:56 03:12 03:28 03:44 04:00 04:16 04:30 04:48 05:04 05:20
17 17 34 51 01:08 01:25 01:42 01:59 02:16 02:33 02:50 03:07 03:24 03:41 03:58 04:15 04:32 04:49 05:06 05:23 05:40
18 18 36 54 01:12 01:30 01:48 02:06 02:24 02:42 03:00 03:18 03:36 03:54 04:12 04:30 04:48 05:06 05:24 05:42 06:00
19 19 38 57 01:16 01:35 01:54 02:13 02:32 02:51 03:10 03:29 03:48 04:07 04:26 04:45 05:04 05:23 05:42 06:01 06:20
20 20 40 01:00 01:20 01:40 02:00 02:20 02:40 03:00 03:20 03:40 04:00 04:20 04:40 05:00 05:20 05:40 06:00 06:20 06:40
21 21 42 01:03 01:24 01:45 02:06 02:27 02:48 03:09 03:30 03:51 04:12 04:33 04:54 05:15 05:36 05:57 06:18 06:39 07:00
22 22 44 01:06 01:28 01:50 02:12 02:34 02:56 03:18 03:40 04:02 04:24 04:46 05:08 05:30 05:52 06:14 06:36 06:58 07:20
23 23 46 01:09 01:32 01:55 02:18 02:41 03:04 03:27 03:50 04:13 04:36 04:59 05:22 05:45 06:08 06:31 06:54 07:17 07:40
24 24 48 01:12 01:36 02:00 02:24 02:48 03:12 03:36 04:00 04:24 04:48 05:12 05:36 06:00 06:24 06:48 07:12 07:36 08:00
25 25 50 01:15 01:40 02:05 02:30 02:55 03:20 03:45 04:10 04:35 05:00 05:25 05:50 06:15 06:40 07:05 07:30 07:55 08:20
26 26 52 01:18 01:44 02:10 02:36 03:02 03:28 03:54 04:20 04:46 05:12 05:38 06:04 06:30 06:56 07:22 07:48 08:14 08:40
27 27 54 01:21 01:48 02:15 02:42 03:09 03:36 04:03 04:30 04:57 05:24 05:51 06:18 06:45 07:12 07:39 08:06 08:33 09:00
28 28 56 01:24 01:52 02:20 02:48 03:16 03:44 04:12 04:40 05:08 05:36 06:04 06:32 07:00 07:28 07:56 08:24 08:52 09:20
29 29 58 01:27 01:56 02:25 02:54 03:23 03:52 04:21 04:50 05:19 05:48 06:17 06:46 07:15 07:44 08:13 08:42 09:11 09:40
30 30 01:00 01:30 02:00 02:30 03:00 03:30 04:00 04:30 05:00 05:30 06:00 06:30 07:00 07:30 08:00 08:30 09:00 09:30 10:00
31 31 01:02 01:33 02:04 02:35 03:06 03:37 04:08 04:39 05:10 05:41 06:12 06:43 07:14 07:45 08:16 08:47 09:18 09:49 10:20
32 32 01:04 01:36 02:08 02:40 03:12 03:44 04:16 04:48 05:20 05:52 06:24 06:56 07:28 08:00 08:32 09:04 09:36 10:08 10:40
33 33 01:06 01:39 02:12 02:45 03:18 03:51 04:24 04:57 05:30 06:03 06:36 07:09 07:42 08:15 08:48 09:21 09:54 10:27 11:00
34 34 01:08 01:42 02:16 02:50 03:24 03:58 04:32 05:06 05:40 06:14 06:48 07:22 07:56 08:30 09:04 09:38 10:12 10:46 11:20
35 35 01:10 01:45 02:20 02:55 03:30 04:05 04:40 05:15 05:50 06:25 07:00 07:35 08:10 08:45 09:20 09:55 10:30 11:05 11:40
36 36 01:12 01:48 02:24 03:00 03:36 04:12 04:48 05:24 06:00 06:36 07:12 07:48 08:24 09:00 09:36 10:12 10:48 11:24 12:00
37 37 01:14 01:51 02:28 03:05 03:42 04:19 04:56 05:33 06:10 06:47 07:24 08:01 08:38 09:15 09:52 10:29 11:06 11:43 12:20
38 38 01:16 01:54 02:32 03:10 03:48 04:26 05:04 05:42 06:20 06:58 07:36 08:14 08:52 09:30 10:08 10:46 11:24 12:02 12:40
39 39 01:18 01:57 02:36 03:15 03:54 04:33 05:12 05:51 06:30 07:09 07:48 08:27 09:06 09:45 10:24 11:03 11:42 12:21 13:00
40 40 01:20 02:00 02:40 03:20 04:00 04:40 05:20 06:00 06:40 07:20 08:00 08:40 09:20 10:00 10:40 11:20 12:00 12:40 13:20
41 41 01:22 02:03 02:44 03:25 04:06 04:47 05:28 06:09 06:50 07:31 08:12 08:53 09:34 10:15 10:56 11:37 12:18 12:59 13:40
42 42 01:24 02:06 02:48 03:30 04:12 04:54 05:36 06:18 07:00 07:42 08:24 09:06 09:48 10:30 11:12 11:54 12:36 13:18 14:00
43 43 01:26 02:09 02:52 03:35 04:18 05:01 05:44 06:27 07:10 07:53 08:36 09:19 10:02 10:45 11:28 12:11 12:54 13:37 14:20
44 44 01:28 02:12 02:56 03:40 04:24 05:08 05:52 06:36 07:20 08:04 08:48 09:32 10:16 11:00 11:44 12:28 13:12 13:56 14:40
45 45 01:30 02:15 03:00 03:45 04:30 05:15 06:00 06:45 07:30 08:15 09:00 09:45 10:30 11:15 12:00 12:45 13:30 14:15 15:00
46 46 01:32 02:18 03:04 03:50 04:36 05:22 06:08 06:54 07:40 08:26 09:12 09:58 10:44 11:30 12:16 13:02 13:48 14:34 15:20
47 47 01:34 02:21 03:08 03:55 04:42 05:29 06:16 07:03 07:50 08:37 09:24 10:11 10:58 11:45 12:32 13:19 14:06 14:53 15:40
48 48 01:36 02:24 03:12 04:00 04:48 05:36 06:24 07:12 08:00 08:48 09:36 10:24 11:12 12:00 12:48 13:36 14:24 15:12 16:00
49 49 01:38 02:27 03:16 04:05 04:54 05:43 06:32 07:21 08:10 08:59 09:48 10:37 11:26 12:15 13:04 13:53 14:42 15:31 16:20
50 50 01:40 02:30 03:20 04:10 05:00 05:50 06:40 07:30 08:20 09:10 10:00 10:50 11:40 12:30 13:20 14:10 15:00 15:50 16:40
51 51 01:42 02:33 03:24 04:15 05:06 05:57 06:48 07:39 08:30 09:21 10:12 11:03 11:54 12:45 13:36 14:27 15:18 16:09 17:00
52 52 01:44 02:36 03:28 04:20 05:12 06:04 06:56 07:48 08:40 09:32 10:24 11:16 12:08 13:00 13:52 14:44 15:36 16:28 17:20
53 53 01:46 02:39 03:32 04:25 05:18 06:11 07:04 07:57 08:50 09:43 10:36 11:29 12:22 13:15 14:08 15:01 15:54 16:47 17:40
54 54 01:48 02:42 03:36 04:30 05:24 06:18 07:12 08:06 09:00 09:54 10:48 11:42 12:36 13:30 14:24 15:18 16:12 17:06 18:00
55 55 01:50 02:45 03:40 04:35 05:30 06:25 07:20 08:15 09:10 10:05 11:00 11:55 12:50 13:45 14:40 15:35 16:30 17:25 18:20
56 56 01:52 02:48 03:44 04:40 05:36 06:32 07:28 08:24 09:20 10:16 11:12 12:08 13:04 14:00 14:56 15:52 16:48 17:44 18:40
57 57 01:54 02:51 03:48 04:45 05:42 06:39 07:36 08:33 09:30 10:27 11:24 12:21 13:18 14:15 15:12 16:09 17:06 18:03 19:00
58 58 01:56 02:54 03:52 04:50 05:48 06:46 07:44 08:42 09:40 10:38 11:36 12:34 13:32 14:30 15:28 16:26 17:24 18:22 19:20
59 59 01:58 02:57 03:56 04:55 05:54 06:53 07:52 08:51 09:50 10:49 11:48 12:47 13:46 14:45 15:44 16:43 17:42 18:41 19:40
01:00 01:00 02:00 03:00 04:00 05:00 06:00 07:00 08:00 09:00 10:00 11:00 12:00 13:00 14:00 15:00 16:00 17:00 18:00 19:00 20:00

Repunitová prvočíslaEditovat

Prvočísla, která se v šedesátkové soustavě skládají z p jedniček, kde p jsou tato: 2, 7, 11, 53, 173, ...

Převrácené hodnoty prvočíselEditovat

  • Převrácené hodnoty prvočísel (1/p); do 13 všech čísel (1/n) a vybraných součinů.

l.p. - délka periody; pp=předperioda

2: 00,30:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

3: 00,20:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

4: 00,15:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

5: 00,12:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

6: 00,10:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

7: 00,08:34:17:08:34:17:08:34:17:08:34:17... l.p. = 3

8: 00,07:30:00:00:00:00:00:00:00:00:00:00... l.p. = 0+2pp

9: 00,06:40:00:00:00:00:00:00:00:00:00:00... l.p. = 0+2pp

10: 00,06:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

11: 00,05:27:16:21:49:05:27:16:21:49... l.p. = 5

12: 00,05:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

13: 00,04:36:55:23:04:36:55:23:04:36:55:23... l.p. = 4

17: 00,03:31:45:52:56:28:14:07... l.p. = 8

19: 00,03:09:28:25:15:47:22:06:18:56:50:31:34:44:12:37:53:41... l.p. = 18

23: 00,02:36:31:18:15:39:07:49:33:54:46:57... l.p. = 22

29: 00,02:04:08:16:33:06:12:24:49:39:18:37... l.p. = 28

31: 00,01:56:07:44:30:58:03:52:15:29... l.p. = 10

37: 00,01:37:17:50:16:12:58:22:42:09:43:47... l.p. = 12

41: 00,01:27:48:17:33:39:30:43:54:08:46:49... l.p. = 40

43: 00,01:23:43:15:20:55:48:50:13:57:12:33... l.p. = 21

47: 00,01:16:35:44:40:51:03:49:47:14:02:33... l.p. = 46

53: 00,01:07:55:28:18:06:47:32:49:48:40:45... l.p. = 26

59: 00,01:01:01:01:01:01:01:01:01:01:01:01... l.p. = 1

60: 00,01:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

61: 00,00:59:00:59:00:59:00:59:00:59:00:59... l.p. = 2

67: 00,00:53:43:52:50:08:57:18:48:21:29:33... l.p. = 33

71: 00,00:50:42:15:12:40:33:48:10:08:27:02... l.p. = 35

73: 00,00:49:18:54:14:47:40:16:26:18:04:55... l.p. = 72

79: 00,00:45:34:10:37:58:28:51:38:44:03:02... l.p. = 78

83: 00,00:43:22:24:34:41:55:39:45:32:31:48... l.p. = 82

89: 00,00:40:26:57:58:39:06:04:02:41:47:51... l.p. = 88

97: 00,00:37:06:48:14:50:43:17:56:17:19:10... l.p. = 96

101: 00,00:35:38:36:49:54:03:33:51:40:59:24... l.p. = 20

103: 00,00:34:57:05:14:33:47:11:04:04:39:36... l.p. = 51

...

Délky př.h. 3 - 49Editovat

523: ... l.p. = 3

277: ... l.p. = 4

1198151: ... l.p. = 5

3541: ... l.p. = 6

47446779661: ... l.p. = 7

281: ... l.p. = 8

2713: ... l.p. = 8

46656216001: ... l.p. = 9

411211: ... l.p. = 10

614910264406779661: ... l.p. = 11

241: ... l.p. = 12

1453: ... l.p. = 12

131: ... l.p. = 13

16898297342476387631: ... l.p. = 13

5839: ... l.p. = 14

7859419: ... l.p. = 14

3646021: ... l.p. = 15

45299521: ... l.p. = 15

353: ... l.p. = 16

475811898017: ... l.p. = 16

137: ... l.p. = 17

57223: ... l.p. = 17

3659553116774508114611: ... l.p. = 17

2455567579: ... l.p. = 18

229: ... l.p. = 19

419: ... l.p. = 19

1076396409273334959634234211: ... l.p. = 19

101: ... l.p. = 20

461: ... l.p. = 20

2521: ... l.p. = 20

1430521: ... l.p. = 20

6763: ... l.p. = 21

1051506334880107: ... l.p. = 21

199: ... l.p. = 22

129943035204533: ... l.p. = 22

314878327: ... l.p. = 23

16923465551: ... l.p. = 23

251185563972429224693: ... l.p. = 23

80449: ... l.p. = 24

2087802049: ... l.p. = 24

26741995638111851: ... l.p. = 25

13671973080252035651: ... l.p. = 25

443: ... l.p. = 26

91192017533631379: ... l.p. = 26

487: ... l.p. = 27

997268221: ... l.p. = 27

7335609049: ... l.p. = 27

28506597787: ... l.p. = 27

841: ... l.p. = 28

113: ... l.p. = 28

28813: ... l.p. = 28

794751699869: ... l.p. = 28

819367: ... l.p. = 29

76217689763093665925401322099554610707856683: ... l.p. = 29

1621: ... l.p. = 30

13291: ... l.p. = 30

7925851: ... l.p. = 30

544919: ... l.p. = 31

15159311: ... l.p. = 31

1021987913: ... l.p. = 31

26630515725327518496027801653933: ... l.p. = 31

257: ... l.p. = 32

1154507649: ... l.p. = 32

9840937580918657: ... l.p. = 32

1123: ... l.p. = 33

5347: ... l.p. = 33

11790043: ... l.p. = 33

146348467: ... l.p. = 33

517916169343: ... l.p. = 33

70582726554413: ... l.p. = 34

393136159442057: ... l.p. = 34

421: ... l.p. = 35

333131: ... l.p. = 35

5330711: ... l.p. = 35

76468514641: ... l.p. = 35

1147909064683571: ... l.p. = 35

1693: ... l.p. = 36

1285754480775749557: ... l.p. = 36

223: ... l.p. = 37

593: ... l.p. = 37

64310219: ... l.p. = 37

498333841986007: ... l.p. = 37

15780132012611227: ... l.p. = 37

156846089140690310989: ... l.p. = 37

16759: ... l.p. = 38

59243: ... l.p. = 38

100614084237674800756793: ... l.p. = 38

1327: ... l.p. = 39

1765609: ... l.p. = 39

17126149: ... l.p. = 39

2728432981: ... l.p. = 39

42559284256967323: ... l.p. = 39

521: ... l.p. = 40

828711601: ... l.p. = 40

1593657438236641: ... l.p. = 40

8693: ... l.p. = 41

110472533: ... l.p. = 41

9410959813501003860154514743: ... l.p. = 41

15041506772841205649139082534483: ... l.p. = 41

1009: ... l.p. = 42

3361: ... l.p. = 42

7561: ... l.p. = 42

74509: ... l.p. = 42

1158361: ... l.p. = 42

173: ... l.p. = 43

288359: ... l.p. = 43

4357277: ... l.p. = 43

47838965527: ... l.p. = 43

3447146503931998319: ... l.p. = 43

13652602634100942780264545353723: ... l.p. = 43

365514312252894018328242154956956401: ... l.p. = 44

6301: ... l.p. = 45

5117941: ... l.p. = 45

38349833761: ... l.p. = 45

3831419967638204901601: ... l.p. = 45

139: ... l.p. = 46

198169249950090164185359072351466577: ... l.p. = 46

283: ... l.p. = 47

2351: ... l.p. = 47

198510050231: ... l.p. = 47

379455403497374707: ... l.p. = 47

126553584572903066976972545569845203674989962101: ... l.p. = 47

1096142401: ... l.p. = 48

25736709982957617601: ... l.p. = 48

197: ... l.p. = 49

2647: ... l.p. = 49

2717717816437214016756601881492359: ... l.p. = 49

339568962071975070101818443035944621: ... l.p. = 49

Délky př.h. 50 - 99Editovat

151: ... l.p. = 50

11341557760878001: ... l.p. = 50

213488925252619351: ... l.p. = 50

103: ... l.p. = 51

7598109698874529794186152544669721695076345526051293747: ... l.p. = 51

659621: ... l.p. = 52

79984538892389: ... l.p. = 52

6906619289503540447933: ... l.p. = 52

295913145648117012032064667285782778591891525423728813559322033898305084745762711864406779661: ... l.p. = 53

109: ... l.p. = 54

271: ... l.p. = 54

14419: ... l.p. = 54

834949: ... l.p. = 54

285582523837576789: ... l.p. = 54

2193518123982312798001: ... l.p. = 55

5447746180558083414776318780609975981456576425631: ... l.p. = 55

4527011833: ... l.p. = 56

14864600138249: ... l.p. = 56

70414988866482578753: ... l.p. = 56

241025060992349839193330443: ... l.p. = 57

42080954706845021406586238388273971887: ... l.p. = 57

349: ... l.p. = 58

173073668499172779291164451124994128423129315609: ... l.p. = 58

18438666190697: ... l.p. = 59

16425604942648361673173: ... l.p. = 59

772625208971110720982758434776548894913032020509727958894620577859: ... l.p. = 59

501121: ... l.p. = 60

881270161: ... l.p. = 60

63898249163521: ... l.p. = 60

7687: ... l.p. = 61

20979773866271054688241: ... l.p. = 61

308188605632788516364105539591808233261372769480567682860536198968062018184645883: ... l.p. = 61

60017: ... l.p. = 62

83908817: ... l.p. = 62

43179443980896359709729226879208796326869: ... l.p. = 62

127: ... l.p. = 63

8821: ... l.p. = 63

18523: ... l.p. = 63

138727: ... l.p. = 63

2062747: ... l.p. = 63

1737013423253830094933197998471087676133869: ... l.p. = 63

193: ... l.p. = 64

4123658606189845017819655958549222797927461139896373057: ... l.p. = 64

65521: ... l.p. = 65

144457489473669191: ... l.p. = 65

199654337791952730254403996551: ... l.p. = 65

11683190275382584334120520597284581: ... l.p. = 65

661: ... l.p. = 66

3920401: ... l.p. = 66

143439786750135161906499001: ... l.p. = 66

211919687148608455429372273841730969897555787140311: ... l.p. = 67

10942346421770308578818295975662675564975953490189742748487096625851: ... l.p. = 67

75821: ... l.p. = 68

947782504817: ... l.p. = 68

3713292284517366013: ... l.p. = 68

2981687060783705273161: ... l.p. = 68

897829: ... l.p. = 69

10871227: ... l.p. = 69

438640729: ... l.p. = 69

397902475252265573945906080532695437087415111391807749963: ... l.p. = 69

211: ... l.p. = 70

1051: ... l.p. = 70

21723181057219704780156622924195650301: ... l.p. = 70

2137669: ... l.p. = 71

14047922160663049734147836933033: ... l.p. = 71

1000769852827320169642862969450680604555315931154653826740607667306066208931141864062593: ... l.p. = 71

410617: ... l.p. = 72

16776701281: ... l.p. = 72

9422445880365524860574881: ... l.p. = 72

293: ... l.p. = 73

8761: ... l.p. = 73

43801: ... l.p. = 73

203797313: ... l.p. = 73

36046560672427: ... l.p. = 73

4343963399878302334317690940709972284426861: ... l.p. = 73

30153344899545698153137974220223227652530471341138487: ... l.p. = 73

575291911: ... l.p. = 74

167723433121: ... l.p. = 74

105143981439054285807062872117858570322591011: ... l.p. = 74

79801: ... l.p. = 75

3852001: ... l.p. = 75

434865836094002661338536981817710860993020606437153288108201: ... l.p. = 75

10337: ... l.p. = 76

15581: ... l.p. = 76

22193: ... l.p. = 76

24473: ... l.p. = 76

16652850353: ... l.p. = 76

3054664836748901: ... l.p. = 76

2317283562457670273449: ... l.p. = 76

9857: ... l.p. = 77

14323: ... l.p. = 77

2568413: ... l.p. = 77

6138021121: ... l.p. = 77

291371706781: ... l.p. = 77

1568785281911: ... l.p. = 77

47238153569669285283484470283727808408311612917990752473417: ... l.p. = 77

1249: ... l.p. = 78

14821: ... l.p. = 78

17014511359: ... l.p. = 78

193606558535173517740969: ... l.p. = 78

180437: ... l.p. = 79

153847919: ... l.p. = 79

299341040111: ... l.p. = 79

29327503104249879260159331192313404362594404217: ... l.p. = 79

20712770439551046670701007644583497086024295418426958924269840411201: ... l.p. = 79

4738360321: ... l.p. = 80

11967136241: ... l.p. = 80

14035299809634325332390327096990100241: ... l.p. = 80

163: ... l.p. = 81

19603: ... l.p. = 81

839116423: ... l.p. = 81

1422337238431520975492032446390901: ... l.p. = 81

274683501441656723387091085311290381756248824883: ... l.p. = 81

800731: ... l.p. = 82

107044523: ... l.p. = 82

18481713972454078391844481528480780341363713013631810879: ... l.p. = 82

108939023416285082711057554261: ... l.p. = 83

44666587580395506572269356931454333226022486832341: ... l.p. = 83

13444217126589265743037254445438369919999913920369577802865247324661: ... l.p. = 83

757: ... l.p. = 84

3529: ... l.p. = 84

27604249: ... l.p. = 84

402699557401: ... l.p. = 84

159604820253939733: ... l.p. = 84

2397597721: ... l.p. = 85

295361651826636011: ... l.p. = 85

219642502642005657301: ... l.p. = 85

4004367957941261039617285534187738983102381000358603475630232718411: ... l.p. = 85

40000377562687958089: ... l.p. = 86

11833408059363866839379759048317108954610016040177474669: ... l.p. = 86

184857427: ... l.p. = 87

212558923: ... l.p. = 87

1379269961467: ... l.p. = 87

441242142359621546952159589: ... l.p. = 87

155070892356130663607357691824391869544722467: ... l.p. = 87

76913: ... l.p. = 88

2476673: ... l.p. = 88

13691129: ... l.p. = 88

9468955234437637627921: ... l.p. = 88

60820533920739635226331272049: ... l.p. = 88

179: ... l.p. = 89

6053: ... l.p. = 89

6991129: ... l.p. = 89

1156349073203531: ... l.p. = 89

7448655070909259: ... l.p. = 89

113494020417313770646533709998538160763074597464080905407: ... l.p. = 89

412190948633573117594030676388630668035259584190377651869: ... l.p. = 89

181: ... l.p. = 90

2161: ... l.p. = 90

5922991: ... l.p. = 90

168655710151: ... l.p. = 90

12127088745403846021: ... l.p. = 90

911: ... l.p. = 91

28219689634877287: ... l.p. = 91

6614719404219479842795511753796591767741675001299: ... l.p. = 91

615189271048437440619681045403071159112209730944340215043087: ... l.p. = 91

142969: ... l.p. = 92

11420590914114581: ... l.p. = 92

1060727776130426589665057242935940901072253629326544847509: ... l.p. = 92

45943: ... l.p. = 93

43936251520677021083041: ... l.p. = 93

23808686838190694926560546789380277410744357193337140259617952361455457387567107: ... l.p. = 93

11657: ... l.p. = 94

36473: ... l.p. = 94

1642836399181: ... l.p. = 94

77803691898459509922914417447: ... l.p. = 94

112882372309442777980456379483183: ... l.p. = 94

191: ... l.p. = 95

5701: ... l.p. = 95

630359771: ... l.p. = 95

3978405096481: ... l.p. = 95

64556007798559201: ... l.p. = 95

180893703656849813663962631: ... l.p. = 95

3280565954189385836575342325913957354972414530626118033771: ... l.p. = 95

961633: ... l.p. = 96

4600638368737: ... l.p. = 96

510575406302402593: ... l.p. = 96

3632293477815140161: ... l.p. = 96

239439132409: ... l.p. = 97

994402699411413418571: ... l.p. = 97

2153088348685267395575763967457890703126737961132169391892242324010969350819505928107877969310740812060589777146453539988056164163066444799: ... l.p. = 97

54293: ... l.p. = 98

31238742053: ... l.p. = 98

567341540417: ... l.p. = 98

10118133737839: ... l.p. = 98

49427670232069409535129754356925463: ... l.p. = 98

24087473352895944479481213954229: ... l.p. = 99

4001413923130518697710001322169235603: ... l.p. = 99

507070431136988438562563462583873251023: ... l.p. = 99

Délky př.h. 100 - 149Editovat

1801: ... l.p. = 100

70201: ... l.p. = 100

3738701: ... l.p. = 100

282795353697716463249138488226425577508079944143306919301: ... l.p. = 100

607: ... l.p. = 101

18181: ... l.p. = 101

602029564608332706588549586013472303339226520899678744302083348593715943162026883396947456777347067290465454018616552429471059367190971838783425174832054888369510316848183: ... l.p. = 101

17341: ... l.p. = 102

29989: ... l.p. = 102

40699: ... l.p. = 102

38229333402280524275002304251127035828803511: ... l.p. = 102

3709: ... l.p. = 103

255203012863: ... l.p. = 103

25268772610985992766541717092618211659617689191271204801598818524000813691038117936334493356766045699144649070373557331419651535422409872242287574126972070933216571183: ... l.p. = 103

2321281: ... l.p. = 104

1235198152463897924549784930329: ... l.p. = 104

7830610724509082075201185171710326348908239451049: ... l.p. = 104

22832698711357981223057247374907077389765848479071322392852181540132857844696246403661: ... l.p. = 105

107: ... l.p. = 106

14098516391763195001: ... l.p. = 106

17755680103337840859197: ... l.p. = 106

10685428241209691288739057342679904699796091595779: ... l.p. = 106

643: ... l.p. = 107

14767: ... l.p. = 107

27179: ... l.p. = 107...

...

10314424798490535546171949055999898440043331584000000000000000001: ... l.p. = 108

2399: ... l.p. = 109...

...

991: ... l.p. = 110

5281: ... l.p. = 110

55102741: ... l.p. = 110

307228327300326631: ... l.p. = 110

1533925680727572288289358844983716342321: ... l.p. = 110

57103969372633087: ... l.p. = 111

1832004355419369781303826338629942247445622055023600917202796881122438737735087532691205819838880126401201163643: ... l.p. = 111

3518695601: ... l.p. = 112

28408361008721: ... l.p. = 112

473327376038086814935689937: ... l.p. = 112

474537478663155739132833074802929713: ... l.p. = 112

57179: ... l.p. = 113

946037: ... l.p. = 113...

...

186049: ... l.p. = 114

115657070562743775352555745119: ... l.p. = 114

487328779587251610504418335331: ... l.p. = 114

14952071: ... l.p. = 115

197382863414605674288708091872863881099978069952466784814754170280285084741516162521831765147850996748095806777081929044577168184088553851459169509971: ... l.p. = 115

233: ... l.p. = 116

2452357: ... l.p. = 116

1235525513: ... l.p. = 116

285815388277: ... l.p. = 116

72673179651481: ... l.p. = 116

257097764178513238538616113309254408452927008720835927841: ... l.p. = 116

55927: ... l.p. = 117

1192310017364701: ... l.p. = 117...

...

5783: ... l.p. = 118

479142646909: ... l.p. = 118

254316808451507: ... l.p. = 118

756186769275281444201581: ... l.p. = 118

25059464050696226360150159448712959408655368342409: ... l.p. = 118

...

22742387: ... l.p. = 122

1039052667517004801929647383: ... l.p. = 122

2372500211008333003222944301: ... l.p. = 122

14056808763838482134846589966852859122693961: ... l.p. = 122

1737007: ... l.p. = 123

10115823284495543648948846554992578822533457377395214023414798739668276554439092494914478958036584091634328840608087162583072643684903563: ... l.p. = 123

...

251: ... l.p. = 125

3251: ... l.p. = 125

39251: ... l.p. = 125

2005983233829993001: ... l.p. = 125...

...

965791: ... l.p. = 126

133774181479: ... l.p. = 126

71080337394739: ... l.p. = 126

1123161187891997539354222841694931: ... l.p. = 126

...

106861: ... l.p. = 130

213608912260994331182924028141962219063172192933016737302833719279535083962461201: ... l.p. = 130

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Externí odkazyEditovat