Číselné soustavy/Soustava o základu 41: Porovnání verzí
Řádek 534: | Řádek 534: | ||
4745283154682354674668738387982199729416165804277: ... l.p. = 92 |
4745283154682354674668738387982199729416165804277: ... l.p. = 92 |
||
18973: ... l.p. = 93 |
|||
100339003: ... l.p. = 93 |
|||
1408947273241: ... l.p. = 93 |
|||
2127224420954683227267238285450055806846798630634108074033739730509460919: ... l.p. = 93 |
|||
... |
... |
Verze z 7. 11. 2013, 16:23
Neboli jedenačtyřicítková 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. 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(41) - 40(41).
Číselná řada
- 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, 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**, 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, další členy řady viz tabulky ...
Malá násobilka
× | 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 | 01:01 | 01:04 | 01:07 | 01:10 | 01:13 | 01:16 | 01:19 |
04 | 04 | 08 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 | 01:03 | 01:07 | 01:11 | 01:15 | 01:19 | 01:23 | 01:27 | 01:31 | 01:35 | 01:39 |
05 | 05 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 01:04 | 01:09 | 01:14 | 01:19 | 01:24 | 01:29 | 01:34 | 01:39 | 02:03 | 02:08 | 02:13 | 02:18 |
06 | 06 | 12 | 18 | 24 | 30 | 36 | 01:01 | 01:07 | 01:13 | 01:19 | 01:25 | 01:31 | 01:37 | 02:02 | 02:08 | 02:14 | 02:20 | 02:26 | 02:32 | 02:38 |
07 | 07 | 14 | 21 | 28 | 35 | 01:01 | 01:08 | 01:15 | 01:22 | 01:29 | 01:36 | 02:02 | 02:09 | 02:16 | 02:23 | 02:30 | 02:37 | 03:03 | 03:10 | 03:17 |
08 | 08 | 16 | 24 | 32 | 40 | 01:07 | 01:15 | 01:23 | 01:31 | 01:39 | 02:06 | 02:14 | 02:22 | 02:30 | 02:38 | 03:05 | 03:13 | 03:21 | 03:29 | 03:37 |
09 | 09 | 18 | 27 | 36 | 01:04 | 01:13 | 01:22 | 01:31 | 01:40 | 02:08 | 02:17 | 02:26 | 02:35 | 03:03 | 03:12 | 03:21 | 03:30 | 03:39 | 04:07 | 04:16 |
10 | 10 | 20 | 30 | 40 | 01:09 | 01:19 | 01:29 | 01:39 | 02:08 | 02:18 | 02:28 | 02:38 | 03:07 | 03:17 | 03:27 | 03:37 | 04:06 | 04:16 | 04:26 | 04:36 |
11 | 11 | 22 | 33 | 01:03 | 01:14 | 01:25 | 01:36 | 02:06 | 02:17 | 02:28 | 02:39 | 03:09 | 03:20 | 03:31 | 04:01 | 04:12 | 04:23 | 04:34 | 05:04 | 05:15 |
12 | 12 | 24 | 36 | 01:07 | 01:19 | 01:31 | 02:02 | 02:14 | 02:26 | 02:38 | 03:09 | 03:21 | 03:33 | 04:04 | 04:16 | 04:28 | 04:40 | 05:11 | 05:23 | 05:35 |
13 | 13 | 26 | 39 | 01:11 | 01:24 | 01:37 | 02:09 | 02:22 | 02:35 | 03:08 | 03:20 | 03:33 | 04:05 | 04:18 | 04:31 | 05:03 | 05:16 | 05:29 | 06:01 | 06:14 |
14 | 14 | 28 | 01:01 | 01:15 | 01:29 | 02:02 | 02:16 | 02:30 | 03:03 | 03:17 | 03:31 | 04:04 | 04:18 | 04:32 | 05:05 | 05:19 | 05:33 | 06:06 | 06:20 | 06:34 |
15 | 15 | 30 | 01:04 | 01:19 | 01:34 | 02:08 | 02:23 | 02:38 | 03:12 | 03:27 | 04:01 | 04:16 | 04:31 | 05:05 | 05:20 | 05:35 | 06:09 | 06:24 | 06:39 | 07:13 |
16 | 16 | 32 | 01:07 | 01:23 | 01:39 | 02:14 | 02:30 | 03:05 | 03:21 | 03:37 | 04:12 | 04:28 | 05:03 | 05:19 | 05:35 | 06:10 | 06:26 | 07:01 | 07:17 | 07:33 |
17 | 17 | 34 | 01:10 | 01:27 | 02:03 | 02:20 | 02:37 | 03:13 | 03:30 | 04:06 | 04:23 | 04:40 | 05:16 | 05:33 | 06:09 | 06:26 | 07:02 | 07:19 | 07:36 | 08:12 |
18 | 18 | 36 | 01:15 | 01:31 | 02:08 | 02:26 | 03:03 | 03:21 | 03:39 | 04:16 | 04:34 | 05:11 | 05:29 | 06:06 | 06:24 | 07:01 | 07:19 | 07:37 | 08:14 | 08:32 |
19 | 19 | 38 | 01:16 | 01:35 | 02:13 | 02:32 | 03:10 | 03:29 | 04:07 | 04:26 | 05:04 | 05:23 | 06:01 | 06:20 | 06:39 | 07:17 | 07:36 | 08:14 | 08:33 | 09:11 |
20 | 20 | 40 | 01:19 | 01:39 | 02:18 | 02:38 | 03:17 | 03:37 | 04:16 | 04:36 | 05:15 | 05:35 | 06:14 | 06:34 | 07:13 | 07:33 | 08:12 | 08:32 | 09:11 | 09:31 |
21 | 21 | 01:01 | 01:22 | 02:02 | 02:23 | 03:03 | 03:24 | 04:04 | 04:25 | 05:05 | 05:26 | 06:06 | 06:27 | 07:07 | 07:28 | 08:08 | 08:29 | 09:09 | 09:30 | 10:10 |
22 | 22 | 01:03 | 01:25 | 02:06 | 02:28 | 03:09 | 03:31 | 04:12 | 04:34 | 05:15 | 05:37 | 06:18 | 06:40 | 07:21 | 08:02 | 08:24 | 09:05 | 09:27 | 10:08 | 10:30 |
23 | 23 | 01:05 | 01:28 | 02:10 | 02:33 | 03:15 | 03:38 | 04:20 | 05:02 | 05:25 | 06:07 | 06:30 | 07:12 | 07:35 | 08:17 | 08:40 | 09:22 | 10:04 | 10:27 | 11:09 |
24 | 24 | 01:07 | 01:31 | 02:14 | 02:38 | 03:21 | 04:04 | 04:28 | 05:11 | 05:35 | 06:18 | 07:01 | 07:25 | 08:08 | 08:32 | 09:15 | 09:39 | 10:22 | 11:05 | 11:29 |
25 | 25 | 01:09 | 01:34 | 02:18 | 03:02 | 03:27 | 04:11 | 04:36 | 05:20 | 06:04 | 06:29 | 07:13 | 07:38 | 08:22 | 09:06 | 09:31 | 10:15 | 10:40 | 11:24 | 12:08 |
26 | 26 | 01:11 | 01:37 | 02:22 | 03:07 | 03:33 | 04:18 | 05:03 | 05:29 | 06:14 | 06:40 | 07:25 | 08:10 | 08:36 | 09:21 | 10:06 | 10:32 | 11:17 | 12:02 | 12:28 |
27 | 27 | 01:13 | 01:40 | 02:26 | 03:12 | 03:39 | 04:25 | 05:11 | 05:38 | 06:24 | 07:10 | 07:37 | 08:23 | 09:09 | 09:36 | 10:22 | 11:08 | 11:35 | 12:21 | 13:07 |
28 | 28 | 01:15 | 02:02 | 02:30 | 03:17 | 04:04 | 04:32 | 05:19 | 06:06 | 06:34 | 07:21 | 08:08 | 08:36 | 09:23 | 10:10 | 10:38 | 11:25 | 12:12 | 12:40 | 13:27 |
29 | 29 | 01:17 | 02:05 | 02:34 | 03:22 | 04:10 | 04:39 | 05:27 | 06:15 | 07:03 | 07:32 | 08:20 | 09:08 | 09:37 | 10:25 | 11:13 | 12:01 | 12:30 | 13:18 | 14:06 |
30 | 30 | 01:19 | 02:08 | 02:38 | 03:27 | 04:16 | 05:05 | 05:35 | 06:24 | 07:13 | 08:02 | 08:32 | 09:21 | 10:10 | 10:40 | 11:29 | 12:18 | 13:07 | 13:37 | 14:26 |
31 | 31 | 01:21 | 02:11 | 03:01 | 03:32 | 04:22 | 05:12 | 06:02 | 06:33 | 07:23 | 08:13 | 09:03 | 09:34 | 10:24 | 11:14 | 12:04 | 12:35 | 13:25 | 14:15 | 15:05 |
32 | 32 | 01:23 | 02:14 | 03:05 | 03:37 | 04:28 | 05:19 | 06:10 | 07:01 | 07:33 | 08:24 | 09:15 | 10:06 | 10:38 | 11:29 | 12:20 | 13:11 | 14:02 | 14:34 | 15:25 |
33 | 33 | 01:25 | 02:17 | 03:09 | 04:01 | 04:34 | 05:26 | 06:18 | 07:10 | 08:02 | 08:35 | 09:27 | 10:19 | 11:11 | 12:03 | 12:36 | 13:28 | 14:20 | 15:12 | 16:04 |
34 | 34 | 01:27 | 02:20 | 03:13 | 04:06 | 04:40 | 05:33 | 06:26 | 07:19 | 08:12 | 09:05 | 09:39 | 10:32 | 11:25 | 12:18 | 13:11 | 14:04 | 14:38 | 15:31 | 16:24 |
35 | 35 | 01:29 | 02:23 | 03:17 | 04:11 | 05:05 | 05:40 | 06:34 | 07:28 | 08:22 | 09:16 | 10:10 | 11:04 | 11:39 | 12:33 | 13:27 | 14:21 | 15:15 | 16:09 | 17:03 |
36 | 36 | 01:31 | 02:26 | 03:21 | 04:16 | 05:11 | 06:06 | 07:01 | 07:37 | 02:32 | 09:17 | 10:22 | 11:17 | 12:12 | 13:07 | 14:02 | 14:38 | 15:33 | 16:28 | 17:23 |
37 | 37 | 01:33 | 02:29 | 03:25 | 04:21 | 05:17 | 06:13 | 07:09 | 08:05 | 09:01 | 09:38 | 10:34 | 11:30 | 12:26 | 13:22 | 14:18 | 15:14 | 16:10 | 17:06 | 18:02 |
38 | 38 | 01:35 | 02:32 | 03:29 | 04:26 | 05:23 | 06:20 | 07:17 | 08:14 | 09:11 | 10:08 | 11:05 | 12:02 | 12:40 | 13:37 | 14:34 | 15:31 | 16:28 | 17:25 | 18:22 |
39 | 39 | 01:37 | 02:35 | 03:33 | 04:31 | 05:29 | 06:27 | 07:25 | 08:23 | 09:21 | 10:19 | 11:17 | 12:15 | 13:13 | 14:11 | 15:09 | 16:07 | 17:05 | 18:03 | 19:01 |
40 | 40 | 01:39 | 02:38 | 03:37 | 04:36 | 05:35 | 06:34 | 07:33 | 08:32 | 09:31 | 10:30 | 11:29 | 12:28 | 13:27 | 14:26 | 15:25 | 16:24 | 17:23 | 18:22 | 19:21 |
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
Prvočísla, která se v sedmatřicítkové soustavě skládají z p jedniček, kde p jsou tato: 3, 83, 269, 409, 1759, 11731, ...
Převrácené hodnoty prvočísel
- Převrácené hodnoty prvočísel (1/p); do 11 všech čísel (1/n) a vybraných součinů.
l.p. - délka periody; pp=předperioda
2: 00,20:20:20:20:20:20:20:20:20:20:20:20... l.p. = 1
3: 00,13:27:13:27:13:27:13:27:13:27:13:27... l.p. = 2
4: 00,10:10:10:10:10:10:10:10:10:10:10:10... l.p. = 1
5: 00,08:08:08:08:08:08:08:08:08:08:08:08... l.p. = 1
6: 00,06:34:06:34:06:34:06:34:06:34:06:34... l.p. = 2
7: 00,05:35:05:35:05:35:05:35:05:35:05:35... l.p. = 2
8: 00,05:05:05:05:05:05:05:05:05:05:05:05... l.p. = 1
9: 00,04:22:31:36:18:09:04:22:31:36:18:09... l.p. = 6
10: 00,04:04:04:04:04:04:04:04:04:04:04:04... l.p. = 1
11: 00,03:29:33:22:14:37:11:07:18:26... l.p. = 10
13: 00,03:06:12:25:09:18:37:34:28:15:31:22... l.p. = 12
16: 00,02:23:02:23:02:23:02:23:02:23:02:23... l.p. = 2
17: 00,02:16:36:07:09:26:21:28:38:24:04:33... l.p. = 16
19: 00,02:06:19:17:10:32:15:04:12:38:34:21... l.p. = 18
23: 00,01:32:03:23:07:05:14:10:28:21:16... l.p. = 11
25: 00,01:26:09:34:18:01:26:09:34:18... l.p. = 5
29: 00,01:16:39:24:01:16:39:24:01:16:39:24... l.p. = 4*
31: 00,01:13:09:10:23:33:02:26:18:21:06:25:05:11:37... l.p. = 15
37: 00,01:04:17:29:37:27:28:33:09:39:36:23... l.p. = 18
40: 00,01:01:01:01:01:01:01:01:01:01:01:01... l.p. = 1
41: 00,01:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp
42: 00,00:40:00:40:00:40:00:40:00:40:00:40... l.p. = 2
43: 00,00:39:03:33:15:10:20:00:39:03:33:15:10:20... l.p. = 7
47: 00,00:35:31:16:23:22:27:37:20:38:15:28... l.p. = 46
53: 00,00:31:29:16:10:02:13:06:07:30:06:39... l.p. = 52
59: 00,00:28:20:06:10:17:15:11:33:14:24:13... l.p. = 29
61: 00,00:27:22:34:38:40:13:18:06:02... l.p. = 10
67: 00,00:25:03:27:22:01:09:07:14:03:02:18... l.p. = 66
71: 00,00:23:27:29:18:19:25:40:17:13:11:22:21:15... l.p. = 14
73: 00,00:23:01:05:02:10:04:20:08:40:17:39... l.p. = 18
79: 00,00:21:11:17:05:07:32:07:10:36:34:31... l.p. = 26
81: 00,00:20:30:35:38:19:09:25:12:26:33:37... l.p. = 54
83: 00,00:20:10:15:12:34:23:29:05:38:01:19... l.p. = 41
89: 00,00:18:36:16:05:02:31:13:14:30:16:23... l.p. = 88
97: 00,00:17:13:21:22:33:33:16:02:21:40:06... l.p. = 96
...
Délky př.h. 3 - 49
1723: ... l.p. = 3
841: ... l.p. = 4 (29^2)
579281: ... l.p. = 5
547: ... l.p. = 6
113229229: ... l.p. = 7
137: ... l.p. = 8
10313: ... l.p. = 8
487: ... l.p. = 9
9753949: ... l.p. = 9
4111: ... l.p. = 10
132947: ... l.p. = 11
4499415031: ... l.p. = 11
109: ... l.p. = 12
1993: ... l.p. = 12
11831: ... l.p. = 13
110969: ... l.p. = 13
17615988547: ... l.p. = 13
9329993: ... l.p. = 14
22381: ... l.p. = 15
11228251: ... l.p. = 15
234850742033: ... l.p. = 16
201815909: ... l.p. = 17
323824851129646973: ... l.p. = 17
30853: ... l.p. = 18
12541: ... l.p. = 19
87423871753: ... l.p. = 19
100200775387183: ... l.p. = 19
101: ... l.p. = 20
761: ... l.p. = 20
103826101: ... l.p. = 20
22013480670406449841: ... l.p. = 21
2311: ... l.p. = 22
5669871130991: ... l.p. = 22
28429: ... l.p. = 23
866802946161469: ... l.p. = 23
12597569150489143: ... l.p. = 23
432121: ... l.p. = 24
18478441: ... l.p. = 24
16651: ... l.p. = 25
259001: ... l.p. = 25
712301: ... l.p. = 25
7043251: ... l.p. = 25
1665438701: ... l.p. = 25
432589: ... l.p. = 26
644522798011: ... l.p. = 26
541: ... l.p. = 27
4969: ... l.p. = 27
39869717560346276949727: ... l.p. = 27
22550075621233982641: ... l.p. = 28
349: ... l.p. = 29
248879: ... l.p. = 29
69238518539: ... l.p. = 29
4155835943262726558454439: ... l.p. = 29
8179560752161: ... l.p. = 30
373: ... l.p. = 31
5563013: ... l.p. = 31
3021012311: ... l.p. = 31
395428680229844082806414355529: ... l.p. = 31
31879515457326527173216321: ... l.p. = 32
303931: ... l.p. = 33
3889843: ... l.p. = 33
148679981536959025297: ... l.p. = 33
62240958750018457814374721: ... l.p. = 34
491: ... l.p. = 35
217771: ... l.p. = 35
4645229357789267173030225822121: ... l.p. = 35
397: ... l.p. = 36
1009: ... l.p. = 36
4380589: ... l.p. = 36
12858553: ... l.p. = 36
223: ... l.p. = 37
1481: ... l.p. = 37
18131: ... l.p. = 37
1966350929587743049062089653861757958962611094209: ... l.p. = 37
191: ... l.p. = 38
547785610778958259612376471: ... l.p. = 38
7411: ... l.p. = 39
2962207: ... l.p. = 39
22625739370536566918429718853: ... l.p. = 39
241: ... l.p. = 40
6121: ... l.p. = 40
391810481: ... l.p. = 40
110312844281: ... l.p. = 40
1752341: ... l.p. = 41
20567159: ... l.p. = 41
1876859311090803007: ... l.p. = 41
5926187589691497537793497756719: ... l.p. = 41
23113483969970021041: ... l.p. = 42
947: ... l.p. = 43
59060329912713539330444142662602562204653642133097553364851026929: ... l.p. = 43
1277: ... l.p. = 44
141002872158635579680840653413: ... l.p. = 44
271: ... l.p. = 45
811: ... l.p. = 45
2355405711202441: ... l.p. = 45
983445711941526661: ... l.p. = 45
277: ... l.p. = 46
461: ... l.p. = 46
967: ... l.p. = 46
291503: ... l.p. = 46
174755703626689559599: ... l.p. = 46
9958064719328486531: ... l.p. = 47
78094180566830018266230133: ... l.p. = 47
203229925391810061067759420169: ... l.p. = 47
63759030914645069421203521: ... l.p. = 48
6763: ... l.p. = 49
262710757: ... l.p. = 49
125400466409: ... l.p. = 49
244909474905845223999502934355158762342461073: ... l.p. = 49
Délky př.h. 50 - 99
151: ... l.p. = 50
401: ... l.p. = 50
751: ... l.p. = 50
35801: ... l.p. = 50
68498701: ... l.p. = 50
1615616874101: ... l.p. = 50
103: ... l.p. = 51
791419: ... l.p. = 51
48654403660378543255828355944633820094006613: ... l.p. = 51
157: ... l.p. = 52
2081: ... l.p. = 52
9829: ... l.p. = 52
2989491658530444718058393389: ... l.p. = 52
107: ... l.p. = 53
78160903: ... l.p. = 53
1285362831383: ... l.p. = 53
69836960856260504987185278606182700293373082942013838116310511: ... l.p. = 53
15210995887: ... l.p. = 54
2348716059613413901: ... l.p. = 54
3631: ... l.p. = 55
38570071: ... l.p. = 55
226127676294660795430384914933684161399373415924929001: ... l.p. = 55
...
1621: ... l.p. = 60
382021: ... l.p. = 60
4555261: ... l.p. = 60
22616035021: ... l.p. = 60
...
1341815197245931: ... l.p. = 66
2052904552210513: ... l.p. = 66
...
521520871366765737606690427202726006881: ... l.p. = 78
...
337: ... l.p. = 84
59473: ... l.p. = 84
114576514249: ... l.p. = 84
221832659824914541369: ... l.p. = 84
...
86857: ... l.p. = 88
218404913: ... l.p. = 88
464786215794929: ... l.p. = 88
3518225751306735179725354195790881: ... l.p. = 88
...
19318316874022005768653: ... l.p. = 92
4745283154682354674668738387982199729416165804277: ... l.p. = 92
18973: ... l.p. = 93
100339003: ... l.p. = 93
1408947273241: ... l.p. = 93
2127224420954683227267238285450055806846798630634108074033739730509460919: ... l.p. = 93
...
Sledujte
- Předchozí: Číselné soustavy/Soustava o základu 40 (kusurija)
- následující: Číselné soustavy/Soustava o základu 42 (kusurija)