Číselné soustavy/Šedesátková soustava
 Tato stránka je součástí databáze a projektu:
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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 řada
[editovat]* (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 násobilka
[editovat]| × | 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 prvočísla
[editovat]Prvočísla, která se v šedesátkové soustavě skládají z p jedniček, kde p jsou tato: 2, 7, 11, 53, 173, ...
Převrácené hodnoty prvočísel
[editovat]- 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 - 49
[editovat]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 - 99
[editovat]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 - 149
[editovat]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
Sledujte
[editovat]- Předchozí: Číselné soustavy/Soustava o základu 59
- následující: Číselné soustavy/Soustava o základu 61
- také: Číselné soustavy/Soustava o základu 30