Číselné soustavy/Soustava o základu 41: Porovnání verzí

Z Wikiverzity
Smazaný obsah Přidaný obsah
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

Tato stránka není ještě hotová.

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

Malá násobilka jedenačtyřicítkové 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 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

...

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