Číselné soustavy/Soustava o základu 23: Porovnání verzí
L22 |
|||
Řádek 253: | Řádek 253: | ||
408030421: ... l.p. = 21 |
408030421: ... l.p. = 21 |
||
39700406579747: ... l.p. = 22 |
39700406579747: ... l.p. = [[Číselné soustavy/Unikátní prvočísla: l = 22 (kusurija)|22]] |
||
461: ... l.p. = 23 |
461: ... l.p. = 23 |
Verze z 2. 5. 2013, 19:26
Neboli třiadvacítková 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 osmnáctkou 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(23) - 22(23).
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, 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, 02:00, 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 | 01:01 | 01:03 | 01:05 | 01:07 | 01:09 | 01:11 | 01:13 | 01:15 | 01:17 |
03 | 03 | 06 | 09 | 12 | 15 | 18 | 21 | 01:02 | 01:04 | 01:07 | 01:10 | 01:13 | 01:16 | 01:19 | 01:22 | 02:02 | 02:05 | 02:08 | 02:11 | 02:14 |
04 | 04 | 08 | 12 | 16 | 20 | 01:01 | 01:05 | 01:09 | 01:13 | 01:17 | 01:21 | 02:02 | 02:06 | 02:10 | 02:14 | 02:18 | 02:22 | 03:03 | 03:07 | 03:11 |
05 | 05 | 10 | 15 | 20 | 01:02 | 01:07 | 01:12 | 01:17 | 01:22 | 02:04 | 02:09 | 02:14 | 02:19 | 03:01 | 03:06 | 03:11 | 03:16 | 03:21 | 04:03 | 04:08 |
06 | 06 | 12 | 18 | 01:01 | 01:07 | 01:13 | 01:19 | 02:02 | 02:08 | 02:14 | 02:20 | 03:03 | 03:09 | 03:15 | 03:21 | 04:04 | 04:10 | 04:16 | 04:22 | 05:05 |
07 | 07 | 14 | 21 | 01:05 | 01:12 | 01:19 | 02:03 | 02:10 | 02:17 | 03:01 | 03:08 | 03:15 | 03:22 | 04:06 | 04:13 | 04:20 | 05:04 | 05:11 | 05:18 | 06:02 |
08 | 08 | 16 | 01:01 | 01:09 | 01:17 | 02:02 | 02:10 | 02:18 | 03:03 | 03:11 | 03:19 | 04:04 | 04:12 | 04:20 | 05:05 | 05:13 | 05:21 | 06:06 | 06:14 | 06:22 |
09 | 09 | 18 | 01:04 | 01:13 | 01:22 | 02:08 | 02:17 | 03:03 | 03:12 | 03:21 | 04:07 | 04:16 | 05:02 | 05:11 | 05:20 | 06:06 | 06:15 | 07:01 | 07:10 | 07:19 |
10 | 10 | 20 | 01:07 | 01:17 | 02:04 | 02:14 | 03:01 | 03:11 | 03:21 | 04:08 | 04:18 | 05:05 | 05:15 | 06:02 | 06:12 | 06:22 | 07:09 | 07:19 | 08:06 | 08:16 |
11 | 11 | 22 | 01:10 | 01:21 | 02:09 | 02:20 | 03:08 | 03:19 | 04:07 | 04:18 | 05:06 | 05:17 | 06:05 | 06:16 | 07:04 | 07:15 | 08:03 | 08:14 | 09:02 | 09:13 |
12 | 12 | 01:01 | 01:13 | 02:02 | 02:14 | 03:03 | 03:15 | 04:04 | 04:16 | 05:05 | 05:17 | 06:06 | 06:18 | 07:07 | 07:19 | 08:08 | 08:20 | 09:09 | 09:21 | 10:10 |
13 | 13 | 01:03 | 01:16 | 02:06 | 02:19 | 03:09 | 03:22 | 04:12 | 05:02 | 05:15 | 06:05 | 06:18 | 07:08 | 07:21 | 08:11 | 09:01 | 09:14 | 10:04 | 10:17 | 11:07 |
14 | 14 | 01:05 | 01:19 | 02:10 | 03:01 | 03:15 | 04:06 | 04:20 | 05:11 | 06:02 | 06:16 | 07:07 | 07:21 | 08:12 | 09:03 | 09:17 | 10:08 | 10:22 | 11:13 | 12:04 |
15 | 15 | 01:07 | 01:22 | 02:14 | 03:06 | 03:21 | 04:13 | 05:05 | 05:20 | 06:12 | 07:04 | 07:19 | 08:11 | 09:03 | 09:18 | 10:10 | 11:02 | 11:17 | 12:09 | 13:01 |
16 | 16 | 01:09 | 02:02 | 02:18 | 03:11 | 04:04 | 04:20 | 05:13 | 06:06 | 06:22 | 07:15 | 08:08 | 09:01 | 09:17 | 10:10 | 11:03 | 11:19 | 12:12 | 13:05 | 13:21 |
17 | 17 | 01:11 | 02:05 | 02:22 | 03:16 | 04:10 | 05:04 | 05:21 | 06:15 | 07:09 | 08:03 | 08:20 | 09:14 | 10:08 | 11:02 | 11:19 | 12:13 | 13:07 | 14:01 | 14:18 |
18 | 18 | 01:13 | 02:08 | 03:03 | 03:21 | 04:16 | 05:11 | 06:06 | 07:01 | 07:19 | 08:14 | 09:09 | 10:04 | 10:22 | 11:17 | 12:12 | 13:07 | 14:02 | 14:20 | 15:15 |
19 | 19 | 01:15 | 02:11 | 03:07 | 04:03 | 04:22 | 05:18 | 06:14 | 07:10 | 08:06 | 09:02 | 09:21 | 10:17 | 11:13 | 12:09 | 13:05 | 14:01 | 14:20 | 15:16 | 16:12 |
20 | 20 | 01:17 | 02:14 | 03:11 | 04:08 | 05:05 | 06:02 | 06:22 | 07:19 | 08:16 | 09:13 | 10:10 | 11:07 | 12:04 | 13:01 | 13:21 | 14:18 | 15:15 | 16:12 | 17:09 |
21 | 21 | 01:19 | 02:17 | 03:15 | 04:13 | 05:11 | 06:09 | 07:07 | 08:05 | 09:03 | 10:01 | 10:22 | 11:20 | 12:18 | 13:16 | 14:14 | 15:12 | 16:10 | 17:08 | 18:06 |
22 | 22 | 01:21 | 02:20 | 03:19 | 04:18 | 05:17 | 06:16 | 07:15 | 08:14 | 09:13 | 10:12 | 11:11 | 12:10 | 13:09 | 14:08 | 15:07 | 16:06 | 17:05 | 18:04 | 19:03 |
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 třiadvacítkové soustavě skládají z p jedniček, kde p jsou tato: 5, 3181...
Převrácené hodnoty prvočísel
- Převrácené hodnoty prvočísel (1/p); do 13 všech čísel (1/n) a vybraných součinů.
l.p. - délka periody; pp=předperioda
2: 00,11:11:11:11:11:11:11:11:11:11:11:11... l.p. = 1
3: 00,07:15:07:15:07:15:07:15:07:15:07:15... l.p. = 2
4: 00,05:17:05:17:05:17:05:17:05:17:05:17... l.p. = 2
5: 00,04:13:18:09:04:13:18:09:04:13:18:09... l.p. = 4
6: 00,03:19:03:19:03:19:03:19:03:19:03:19... l.p. = 2
7: 00,03:06:13:03:06:13:03:06:13:03:06:13... l.p. = 3
8: 00,02:20:02:20:02:20:02:20:02:20:02:20... l.p. = 2
9: 00,02:12:17:20:10:05:02:12:17:20:10:05... l.p. = 6
10: 00,02:06:20:16:02:06:20:16:02:06:20:16... l.p. = 4
11: 00,02:02:02:02:02:02:02:02:02:02:02:02... l.p. = 1
12: 00,01:21:01:21:01:21:01:21:01:21:01:21... l.p. = 2
13: 00,01:17:15:21:05:07:01:17:15:21:05:07... l.p. = 6
16: 00,01:10:01:10:01:10:01:10:01:10:01:10... l.p. = 2
17: 00,01:08:02:16:05:09:10:18:21:14:20:06:17:13:12:04... l.p. = 16
19: 00,01:04:19:08:10:20:13:07:06... l.p. = 9
22: 00,01:01:01:01:01:01:01:01:01:01:01:01... l.p. = 1
23: 00,01:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp
24: 00,00:22:00:22:00:22:00:22:00:22:00:22... l.p. = 2
25: 00,00:21:03:15:14:16:12:20:05:11:22:01... l.p. = 20
27: 00,00:19:13:14:11:01:16:04:05:22:03:09:08:11:21:06:18:17... l.p. = 18
29: 00,00:18:05:12:15:19:19:00:18:05:12:15:19:19... l.p. = 7
31: 00,00:17:01:11:02:22:05:21:11:20... l.p. = 10
32: 00,00:16:12:05:00:16:12:05:00:16:12:05... l.p. = 4
37: 00,00:14:06:19:06:04:22:08:16:03:16:18... l.p. = 12
41: 00,00:12:20:17:08:22:10:02:05:14... l.p. = 10
43: 00,00:12:06:21:21:09:02:03:04:18:16:13... l.p. = 21
47: 00,00:11:05:20:01:10:17:14:04:09:06:19... l.p. = 46
49: 00,00:10:18:07:00:21:13:14:01:20:04:05... l.p. = 21
53: 00,00:09:22:13:00:09:22:13:00:09:22:13... l.p. = 4
59: 00,00:08:22:05:01:12:19:20:06:05:10:12... l.p. = 58
61: 00,00:08:15:10:12:18:19:13:21:19:22:14... l.p. = 20
64: 00,00:08:06:02:11:19:17:14... l.p. = 8
67: 00,00:07:20:13:16:18:20:05:19:05:03:09... l.p. = 33
71: 00,00:07:10:08:09:16:11:22:15:12:14:13:06:11... l.p. = 14
73: 00,00:07:05:15:10:01:20:11:00:14:11:07... l.p. = 36
79: 00,00:06:16:00:06:16:00:06:16:00:06:16... l.p. = 3
81: 00,00:06:12:04:19:00:13:01:09:15:01:03... l.p. = 54
83: 00,00:06:08:13:13:06:21:07:17:10:12:04... l.p. = 41
89: 00,00:05:21:16:06:10:13:16:00:11:20:09... l.p. = 88
97: 00,00:05:10:09:22:01:04:06:03:18:05:21... l.p. = 96
101: 00,00:05:05:10:16:03:20:00:20:21:19:18... l.p. = 50
103: 00,00:05:03:02:20:17:14:16:22:07:13:14:06:16:01:18:02... l.p. = 17
107: 00,00:04:21:16:07:16:22:13:02:13:07:12... l.p. = 53
109: 00,00:04:19:14:08:00:09:16:05:16:00:19... l.p. = 36
113: 00,00:04:15:15:10:18:02:14:19:17:02:05... l.p. = 112
121: 00,00:04:08:12:16:21:02:06:10:14:19... l.p. = 11
127: 00,00:04:03:18:10:19:21:04:07:22:06:07... l.p. = 126
128: 00,00:04:03:01:05:21:08:18:11:15:14:12:17:09:20:07... l.p. = 16
131: 00,00:04:00:20:04:08:21:21:17:16:19:15... l.p. = 130
137: 00,00:03:19:18:14:13:21:11:05:16:06:12... l.p. = 136
139: 00,00:03:18:12:05:14:09:02:07:06:10:09... l.p. = 46
149: 00,00:03:12:15:02:21:10:11:09:16:15:10... l.p. = 148
...
Délky př.h. 5 - 49
292561: ... l.p. = 5
5336717: ... l.p. = 7
139921: ... l.p. = 8
7792003: ... l.p. = 9
211: ... l.p. = 10
3937230404603: ... l.p. = 11
7549: ... l.p. = 12
47691619: ... l.p. = 13
480393499: ... l.p. = 13
673: ... l.p. = 14
2969: ... l.p. = 14
74912328481: ... l.p. = 15
3697: ... l.p. = 16
623009: ... l.p. = 16
62246266355102810647: ... l.p. = 17
163: ... l.p. = 18
271: ... l.p. = 18
1117: ... l.p. = 18
2129: ... l.p. = 19
63877469: ... l.p. = 19
24939218613613: ... l.p. = 19
941: ... l.p. = 20
272341: ... l.p. = 20
170689: ... l.p. = 21
408030421: ... l.p. = 21
39700406579747: ... l.p. = 22
461: ... l.p. = 23
1289: ... l.p. = 23
831603031789: ... l.p. = 23
1920647391913: ... l.p. = 23
937: ... l.p. = 24
83575993: ... l.p. = 24
6551: ... l.p. = 25
261968569374120475321751: ... l.p. = 25
21001515080686141: ... l.p. = 26
4591: ... l.p. = 27
15785281: ... l.p. = 27
44765293701223: ... l.p. = 27
10781: ... l.p. = 28
598193: ... l.p. = 28
3391669: ... l.p. = 28
233: ... l.p. = 29
1741: ... l.p. = 29
85087: ... l.p. = 29
11410109: ... l.p. = 29
356760584484267703279: ... l.p. = 29
151: ... l.p. = 30
541119751: ... l.p. = 30
40888990028603: ... l.p. = 31
1817748739889319695512796411: ... l.p. = 31
193: ... l.p. = 32
15887591750468908417: ... l.p. = 32
27919: ... l.p. = 33
23130823: ... l.p. = 33
37942113104611: ... l.p. = 33
239: ... l.p. = 34
117539: ... l.p. = 34
209209825938101: ... l.p. = 34
15716677201: ... l.p. = 35
292282116396508041636015
4789: ... l.p. = 36
5689: ... l.p. = 36
101089: ... l.p. = 36
1925658337781: ... l.p. = 37
5713839242138307627889538424597962861: ... l.p. = 37
493811: ... l.p. = 38
3195383: ... l.p. = 38
1970307281599: ... l.p. = 38
459408054528299360264076035007841: ... l.p. = 39
5081: ... l.p. = 40
1206964869343609001: ... l.p. = 40
117018989947: ... l.p. = 41
317018172698691402707105521066838685448001: ... l.p. = 41
22865554874031409: ... l.p. = 42
173: ... l.p. = 43
92107: ... l.p. = 43
102219917850387811990824636930475340357519336809223: ... l.p. = 43
924209309: ... l.p. = 44
1853387306082786629: ... l.p. = 44
480211292412647894626919619228001: ... l.p. = 45
1013: ... l.p. = 46
1641281: ... l.p. = 46
52626071: ... l.p. = 46
1522029233: ... l.p. = 46
1612759: ... l.p. = 47
160782278895061740375167119: ... l.p. = 47
1757834394823272170457840229633: ... l.p. = 47
12682129: ... l.p. = 48
483563163219889: ... l.p. = 48
197: ... l.p. = 49
7908659662206739330568797545829013975804515085190454901: ... l.p. = 49
Délky př.h. 50 - 99
56951: ... l.p. = 50
1068701: ... l.p. = 50
279175761283651: ... l.p. = 50
42331: ... l.p. = 51
849890089913739257948662758708499908691: ... l.p. = 51
157: ... l.p. = 52
2861561: ... l.p. = 52
278640181: ... l.p. = 52
3829141917458729: ... l.p. = 52
134515657106693: ... l.p. = 53
61190665486751483: ... l.p. = 53
76614476156594621168268977128460059157: ... l.p. = 53
1081383636631149044212969: ... l.p. = 54
3468301: ... l.p. = 55
812253463461249630584835663935634811279798920421: ... l.p. = 55
480249047846803230704957710381921: ... l.p. = 56
2350382803: ... l.p. = 57
1420450672756039: ... l.p. = 57
3015559345436616275558557: ... l.p. = 57
1075983677123: ... l.p. = 58
2028795664420021044654173: ... l.p. = 58
5995817: ... l.p. = 59
451573729: ... l.p. = 59
15648899754659: ... l.p. = 59
3794908745134333508761: ... l.p. = 59
62123721098332529813486789059: ... l.p. = 59
79561: ... l.p. = 60
229533481: ... l.p. = 60
336449041: ... l.p. = 60
5266228211: ... l.p. = 61
4217468380980037880092527701441161: ... l.p. = 61
237916085520023302947010376750220097331: ... l.p. = 61
8086847: ... l.p. = 62
2313675671730419: ... l.p. = 62
3641413251511310179: ... l.p. = 62
379: ... l.p. = 63
160651: ... l.p. = 63
644869x978769387: ... l.p. = 63
273836843403890391876716767: ... l.p. = 63
257: ... l.p. = 64
73169086596340605135996253341472193203073: ... l.p. = 64
911: ... l.p. = 65
31721: ... l.p. = 65
4922971: ... l.p. = 65
1550738312754197195984990763641083397417745874324021: ... l.p. = 65
331: ... l.p. = 66
6073: ... l.p. = 66
890785539136914450283: ... l.p. = 66
269: ... l.p. = 67
2152900439563539121: ... l.p. = 67
1350722411768113885790624753062895918883814157448379863553859994476957: ... l.p. = 67
6121: ... l.p. = 68
246160726106632349: ... l.p. = 68
24913194075042688582253: ... l.p. = 68
277: ... l.p. = 69
1933: ... l.p. = 69
11593: ... l.p. = 69
49696373692116337: ... l.p. = 69
2555778231696354754306517338366249: ... l.p. = 69
52291: ... l.p. = 70
12968551: ... l.p. = 70
6696671101: ... l.p. = 70
110350430401: ... l.p. = 70
2131: ... l.p. = 71
351156543156995844791: ... l.p. = 71
12689965311931555366531418920750153: ... l.p. = 71
23052022067431050825264764433875832941: ... l.p. = 71
1153: ... l.p. = 72
2968201: ... l.p. = 72
20521396873: ... l.p. = 72
6838148542609: ... l.p. = 72
632911: ... l.p. = 73
3467983074289: ... l.p. = 73
52758171521205474158839779336871134951896640145619046102732332285095531824880639: ... l.p. = 73
593: ... l.p. = 74
10445744467953088708693: ... l.p. = 74
1628263171508931784019729: ... l.p. = 74
2700470569501: ... l.p. = 75
1090621172879625550471378131249830699682901: ... l.p. = 75
761: ... l.p. = 76
1901: ... l.p. = 76
111236869: ... l.p. = 76
60848703597029: ... l.p. = 76
1072790797270456849349: ... l.p. = 76
182688705194696220829: ... l.p. = 77
26463867183247157673754064782288107237804201852702279113008741: ... l.p. = 77
859: ... l.p. = 78
1489531614247: ... l.p. = 78
30125172037951849: ... l.p. = 78
317: ... l.p. = 79
5605051: ... l.p. = 79
17510351: ... l.p. = 79
1711849421: ... l.p. = 79
5308250621847606803: ... l.p. = 79
60635323992249385667181625314213985250547348169043387903265103: ... l.p. = 79
241: ... l.p. = 80
7249841: ... l.p. = 80
147190628299441: ... l.p. = 80
146239626404410677041: ... l.p. = 80
14945797: ... l.p. = 81
59679899512256809: ... l.p. = 81
1088774249552970415950511: ... l.p. = 81
35157512647661402580746419: ... l.p. = 81
1134389: ... l.p. = 82
44127446381: ... l.p. = 82
56384434945908343003414576365690424889: ... l.p. = 82
338309: ... l.p. = 83
364419547069027138439: ... l.p. = 83
27736074503263071062950778805992164759: ... l.p. = 83
1402902528489494184197616878227352708965872870517: ... l.p. = 83