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Číselné soustavy/Soustava o základu 73

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Příslušnost: Kusurija

Neboli dvaasedmdesátková soustava. 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(73) - 72(73).

Číselná řada

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* (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*, 60, 61*, 62, 63, 64**, 65, 66, 67*, 68, 69, 70, 71*, 72, 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, 01:60, 01:61, 01:62, 01:63, 01:64*, 01:65, 01:66*, 01:67, 01:68, 01:69, 01:70, 01:71, 01:72, 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*, 02:18, 02:19, 02:20, 02:21*, další členy řady viz tabulky...

Malá násobilka

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Malá násobilka dvaasedmdesátkové 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 60
04 04 08 12 16 20 24 28 32 36 40 44 48 52 56 60 64 68 72 01:03 01:07
05 05 10 15 20 25 30 35 40 45 50 55 60 65 70 01:02 01:07 01:12 01:17 01:22 01:27
06 06 12 18 24 30 36 42 48 54 60 66 72 01:05 01:11 01:17 01:23 01:29 01:35 01:41 01:47
07 07 14 21 28 35 42 49 56 63 70 01:04 01:11 01:18 01:25 01:32 01:39 01:46 01:53 01:60 01:67
08 08 16 24 32 40 48 56 64 72 01:07 01:15 01:23 01:31 01:39 01:47 01:55 01:63 01:71 02:06 02:14
09 09 18 27 36 45 54 63 72 01:08 01:17 01:26 01:35 01:44 01:53 01:62 01:71 02:07 02:16 02:25 02:34
10 10 20 30 40 50 60 70 01:07 01:17 01:27 01:37 01:47 01:57 01:67 02:04 02:14 02:24 02:34 02:44 02:54
11 11 22 33 44 55 66 01:04 01:15 01:26 01:37 01:48 01:59 01:70 02:08 02:19 02:30 02:41 02:52 02:63 03:01
12 12 24 36 48 60 72 01:11 01:23 01:35 01:47 01:59 01:71 02:10 02:22 02:34 02:46 02:58 02:70 03:09 03:21
13 13 26 39 52 65 01:05 01:18 01:31 01:44 01:57 01:70 02:10 02:23 02:36 02:49 02:62 03:02 03:15 03:28 03:41
14 14 28 42 56 70 01:11 01:25 01:39 01:53 01:67 02:08 02:22 02:36 02:50 02:64 03:05 03:19 03:33 03:47 03:61
15 15 30 45 60 01:02 01:17 01:32 01:47 01:62 02:04 02:19 02:34 02:49 02:64 03:06 03:21 03:36 03:51 03:66 04:08
16 16 32 48 64 01:07 01:23 01:39 01:55 01:71 02:14 02:30 02:46 02:62 03:05 03:21 03:37 03:53 03:69 04:14 04:28
17 17 34 51 68 01:12 01:29 01:46 01:63 02:07 02:24 02:41 02:58 03:02 03:19 03:36 03:53 03:70 04:14 04:31 04:48
18 18 36 54 72 01:17 01:35 01:53 01:71 02:16 02:34 02:52 02:70 03:15 03:33 03:51 03:69 04:14 04:32 04:50 04:68
19 19 38 57 01:03 01:22 01:41 01:60 02:06 02:25 02:44 02:63 03:09 03:28 03:47 03:66 04:12 04:31 04:50 04:69 05:15
20 20 40 60 01:07 01:27 01:47 01:67 02:14 02:34 02:54 03:01 03:21 03:41 03:61 04:08 04:28 04:48 04:68 05:15 05:35
21 21 42 63 01:11 01:32 01:53 02:01 02:22 02:43 02:64 03:12 03:33 03:54 04:02 04:23 04:44 04:65 05:13 05:34 05:55
22 22 44 66 01:15 01:37 01:59 02:08 02:30 02:52 03:01 03:23 03:45 03:67 04:16 04:38 04:60 05:09 05:31 05:53 06:02
23 23 46 69 01:19 01:42 01:65 02:15 02:38 02:61 03:11 03:34 03:57 04:07 04:30 04:53 05:03 05:26 05:49 05:72 06:22
24 24 48 72 01:23 01:47 01:71 02:22 02:46 02:70 03:21 03:45 03:69 04:20 04:44 04:68 05:19 05:43 05:67 06:18 06:42
25 25 50 01:02 01:27 01:52 02:04 02:29 02:54 03:06 03:31 03:56 04:08 04:33 04:58 05:10 05:35 05:60 06:12 06:37 06:62
26 26 52 01:05 01:31 01:57 02:10 02:36 02:62 03:15 03:41 03:67 04:20 04:46 04:72 05:25 05:51 06:04 06:30 06:56 07:09
27 27 54 01:08 01:35 01:62 02:16 02:43 02:70 03:24 03:51 04:05 04:32 04:59 05:13 05:40 05:67 06:21 06:48 07:02 07:29
28 28 56 01:11 01:39 01:67 02:22 02:50 03:05 03:33 03:61 04:16 04:44 04:72 05:27 05:55 06:10 06:38 06:66 07:21 07:49
29 29 58 01:14 01:43 01:72 02:28 02:57 03:13 03:42 03:71 04:27 04:56 05:12 05:41 05:70 06:26 06:55 07:11 07:40 07:69
30 30 60 01:17 01:47 02:04 02:34 02:64 03:21 03:51 04:08 04:38 04:68 05:25 05:55 06:12 06:42 06:72 07:29 07:59 08:16
31 31 62 01:20 01:51 02:09 02:40 02:71 03:29 03:60 04:18 04:49 05:07 05:38 05:69 06:27 06:58 07:16 07:47 08:05 08:36
32 32 64 01:23 01:55 02:14 02:46 03:05 03:37 03:69 04:28 04:60 05:19 05:51 06:40 06:42 07:01 07:33 07:65 08:24 08:56
33 33 66 01:27 01:59 02:19 02:52 03:12 03:45 04:05 04:38 04:71 05:31 05:64 06:24 06:57 07:17 07:50 08:10 08:43 09:03
34 34 68 01:29 01:63 02:24 02:58 03:19 03:53 04:14 04:48 05:09 05:43 06:04 06:38 06:72 07:33 07:67 08:28 08:62 09:23
35 35 70 01:32 01:67 02:29 02:64 03:26 03:61 04:23 04:58 05:20 05:55 06:17 06:52 07:14 07:49 08:11 08:46 09:08 09:43
36 36 72 01:35 01:71 02:34 02:70 03:33 03:69 04:32 04:68 05:31 05:67 06:30 06:66 07:29 07:65 08:28 08:64 09:27 09:63
37 37 01:01 01:38 02:02 02:39 03:03 03:40 04:04 04:41 05:05 05:42 06:06 06:43 07:07 07:44 08:08 08:45 09:09 09:46 10:10
38 38 01:03 01:41 02:06 02:44 03:09 03:47 04:12 04:50 05:15 05:53 06:18 06:56 07:21 07:59 08:24 08:62 09:27 09:65 10:30
39 39 01:05 01:44 02:10 02:49 03:15 03:54 04:20 04:59 05:25 05:64 06:30 06:69 07:35 08:01 08:40 09:06 09:45 10:11 10:50
40 40 01:07 01:47 02:14 02:54 03:21 03:61 04:28 04:68 05:35 06:02 06:42 07:09 07:49 08:16 08:56 09:23 09:63 10:30 10:70
41 41 01:09 01:50 02:18 02:59 03:27 03:68 04:36 05:04 05:45 06:13 06:54 07:22 07:63 08:31 08:72 09:40 10:08 10:49 11:17
42 42 01:11 01:53 02:22 02:64 03:33 04:02 04:44 05:13 05:55 06:24 06:66 07:35 08:04 08:46 09:15 09:57 10:26 10:68 11:37
43 43 01:13 01:56 02:26 02:69 03:39 04:09 04:52 05:22 05:65 06:35 07:05 07:48 08:18 08:61 09:31 10:01 10:44 11:14 11:57
44 44 01:15 01:59 02:30 03:01 03:45 04:16 04:60 05:31 06:02 06:46 07:17 07:61 08:32 09:03 09:47 10:18 10:62 11:33 12:04
45 45 01:17 01:62 02:34 03:06 03:51 04:23 04:68 05:40 06:12 06:57 07:29 08:01 08:46 09:18 09:63 10:35 11:07 11:52 12:24
46 46 01:19 01:65 02:38 03:11 03:57 04:30 05:03 05:49 06:22 06:68 07:41 08:14 08:60 09:33 10:06 10:52 11:25 11:71 12:44
47 47 01:21 01:68 02:42 03:16 03:63 04:37 05:11 05:58 06:32 07:06 07:53 08:27 09:01 09:48 10:22 10:69 11:43 12:17 12:64
48 48 01:23 01:71 02:46 03:21 03:69 04:44 05:19 05:67 06:42 07:17 07:65 08:40 09:15 09:63 10:38 11:13 11:61 12:36 13:11
49 49 01:25 02:01 02:50 03:26 04:02 04:51 05:27 06:03 06:52 07:28 08:04 08:53 09:29 10:05 10:54 11:30 12:06 12:55 13:31
50 50 01:27 02:04 02:54 03:31 04:08 04:58 05:35 06:12 06:62 07:39 08:16 08:66 09:43 10:20 10:70 11:47 12:24 13:01 13:51
51 51 01:29 02:07 02:58 03:36 04:14 04:65 05:43 06:21 06:72 07:50 08:28 09:06 09:57 10:35 11:13 11:64 12:42 13:20 13:71
52 52 01:31 02:10 02:62 03:41 04:20 04:72 05:51 06:30 07:09 07:61 08:40 09:19 09:71 10:50 11:29 12:08 12:60 13:39 14:18
53 53 01:33 02:13 02:66 03:46 04:26 05:06 05:59 06:39 07:19 07:72 08:52 09:32 10:12 10:65 11:45 12:25 13:05 13:58 14:38
54 54 01:35 02:16 02:70 03:51 04:32 05:13 05:67 06:48 07:29 08:10 08:64 09:45 10:26 11:07 11:61 12:42 13:23 14:04 14:58
55 55 01:37 02:19 03:01 03:56 04:38 05:20 06:02 06:57 07:39 08:21 09:03 09:58 10:40 11:22 12:04 12:59 13:41 14:23 15:05
56 56 01:39 02:22 03:05 03:61 04:44 05:27 06:10 06:66 07:49 08:32 09:15 09:71 10:54 11:37 12:20 13:03 13:59 14:42 15:25
57 57 01:41 02:25 03:09 03:66 04:50 05:34 06:18 07:02 07:59 08:43 09:27 10:11 10:68 11:52 12:36 13:20 14:04 14:61 15:45
58 58 01:43 02:28 03:13 03:71 04:56 05:41 06:26 07:11 07:69 08:54 09:39 10:24 11:09 11:67 12:52 13:37 14:22 15:07 15:65
59 59 01:45 02:31 03:17 04:03 04:62 05:48 06:34 07:20 08:06 08:65 09:51 10:37 11:23 12:09 12:68 13:54 14:40 15:26 16:12
60 60 01:47 02:34 03:21 04:08 04:68 05:55 06:42 07:29 08:16 09:03 09:63 10:50 11:37 12:24 13:11 13:71 14:58 15:45 16:32
61 61 01:49 02:37 03:25 04:13 05:01 05:62 06:50 07:38 08:26 09:14 10:02 10:63 11:51 12:39 13:27 14:15 15:03 15:64 16:52
62 62 01:51 02:40 03:29 04:18 05:07 05:69 06:58 07:47 08:36 09:25 10:14 11:03 11:65 12:54 13:43 14:32 15:21 16:10 16:72
63 63 01:53 02:43 03:33 04:23 05:13 06:03 06:66 07:56 08:46 09:36 10:26 11:16 12:06 12:69 13:59 14:49 15:39 16:29 17:19
64 64 01:55 02:46 03:37 04:28 05:19 06:10 07:01 07:65 08:56 09:47 10:38 11:29 12:20 13:11 14:02 14:66 15:57 16:48 17:39
65 65 01:57 02:49 03:41 04:33 05:25 06:17 07:09 08:01 08:66 09:58 10:50 11:42 12:34 13:26 14:18 15:10 16:02 16:67 17:59
66 66 01:59 02:52 03:45 04:38 05:31 06:24 07:17 08:10 09:03 09:69 10:62 11:55 12:48 13:41 14:34 15:27 16:20 17:13 18:06
67 67 01:61 02:55 03:49 04:43 05:37 06:31 07:25 08:19 09:13 10:07 11:01 11:68 12:62 13:56 14:50 15:44 16:38 17:32 18:26
68 68 01:63 02:58 03:53 04:48 05:43 06:38 07:33 08:28 09:23 10:18 11:13 12:08 13:03 13:71 14:66 15:61 16:56 17:51 18:46
69 69 01:65 02:61 03:57 04:53 05:49 06:45 07:41 08:37 09:33 10:29 11:25 12:21 13:17 14:13 15:09 16:05 17:01 17:70 18:66
70 70 01:67 02:64 03:61 04:58 05:55 06:52 07:49 08:46 09:43 10:40 11:37 12:34 13:31 14:28 15:25 16:22 17:19 18:16 19:13
71 71 01:69 02:67 03:65 04:63 05:61 06:59 07:57 08:55 09:53 10:51 11:49 12:47 13:45 14:43 15:41 16:39 17:37 18:35 19:33
72 72 01:71 02:70 03:69 04:68 05:67 06:66 07:65 08:64 09:63 10:62 11:61 12:60 13:59 14:58 15:57 16:56 17:55 18:54 19:53
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

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Prvočísla, která se v třiasedmdesátkové soustavě skládají z p jedniček, kde p jsou tato: 5, 7, ...

Převrácené hodnoty prvočísel

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l.p. - délka periody; pp=předperioda

2: 00,36:36:36:36:36:36:36:36:36:36:36:36... l.p. = 1

3: 00,24:24:24:24:24:24:24:24:24:24:24:24... l.p. = 1

5: 00,14:43:58:29:14:43:58:29:14:43:58:29... l.p. = 4

7: 00,10:31:20:62:41:52:10:31:20:62:41:52... l.p. = 6

11: 00,06:46:33:13:19:66:26:39:59:53... l.p. = 10

13: 00,05:44:67:28:05:44:67:28:05:44:67:28... l.p. = 4

17: 00,04:21:34:25:55:60:08:42:68:51:38:47:17:12:64:30... l.p. = 16

19: 00,03:61:34:42:19:15:26:65:23... l.p. = 9

23: 00,03:12:50:57:09:38:06:25:28:41:19... l.p. = 11

Zde by bylo vhodné ještě něco doplnit.

Sledujte

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