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21 bazės skaičiavimo sistema

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Čia yra 100 % mokslinis naujumas. Tai nereiškia, jog čia paskelbtos informacijos nebūtų žinomos (absoliuti dauguma žinoma nuo senovės, dauguma likučio nuo naujųjų laikų pradžios o tik niekinis likutis paskutiniais dešimtmečiais); mokslinis naujumas slypi šių informacijų išdėstymo būde ir nurodytose sąsajose.

Pradedant aštuonioliktaine skaičiavimo sistema, skaičių simboliams < 10(10) pridedamas kairėje papildomas nulis ir tokiu būdų iki 19(10) naudojami dviženkliai simboliai, atskirti tarpusavyje dvitaškiu (:). Dvitaškis nenaudojamas iki 20(10), t.y. 00(21) - 20(21).

Skaičių eilė

[edit]

Skaičių eilė (* paženklinti pirminiai, ** n-laipsniu pakelti pirminiai skaičiai)
00, 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*, 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, 03:00,

03:01**, 03:02, 03:03, 03:04*, 03:05, 03:06, 03:07, 03:08*, 03:09, 03:10*, 03:11, 03:12, 03:13, 03:14, 03:15, 03:16*, 03:17, 03:18*, 03:19, 03:20*, 04:00,

04:01, 04:02, 04:03, 04:04, 04:05*, 04:06, 04:07, 04:08, 04:09, 04:10, 04:11, 04:12, 04:13*, 04:14, 04:15, 04:16, 04:17*, 04:18, 04:19*, 04:20, 05:00,

05:01, 05:02*, 05:03, 05:04*, 05:05, 05:06, 05:07, 05:08*, 05:09, 05:10, 05:11, 05:12, 05:13, 05:14, 05:15, 05:16**, 05:17, 05:18, 05:19, 05:20**, 06:00,

06:01*, 06:02**, 06:03, 06:04, 06:05*, 06:06, 06:07, 06:08, 06:09, 06:10, 06:11*, 06:12, 06:13*, 06:14, 06:15, 06:16, 06:17, 06:18, 06:19, 06:20, 07:00,

07:01, 07:02*, 07:03, 07:04*, 07:05, 07:06, 07:07, 07:08, 07:09, 07:10*, 07:11, 07:12, 07:13, 07:14, 07:15, 07:16*, 07:17, 07:18, 07:19, 07:20*, 08:00,

08:01**, 08:02, 08:03, 08:04, 08:05*, 08:06, 08:07, 08:08, 08:09, 08:10, 08:11*, 08:12, 08:13*, 08:14, 08:15, 08:16, 08:17, 08:18, 08:19, 08:20, 09:00,

09:01, 09:02*, 09:03, 09:04*, 09:05, 09:06, 09:07, 09:08*, 09:09, 09:10*, 09:11, 09:12, 09:13, 09:14, 09:15, 09:16, 09:17, 09:18, 09:19, 09:20, 10:00,

10:01*, ...

...

Daugybos lentelė

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Dvidešimtainės sistemos daugybos lentelė
× 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 01:01 01:03 01:05 01:07 01:09 01:11 01:13 01:15 01:17 01:19
03 03 06 09 12 15 18 01:00 01:03 01:06 01:09 01:12 01:15 01:18 02:00 02:03 02:06 02:09 02:12 02:15 03:18
04 04 08 12 16 20 01:03 01:07 01:11 01:15 01:19 02:02 02:06 02:10 02:14 02:18 03:01 03:05 03:09 03:13 03:17
05 05 10 15 20 01:04 01:09 01:14 01:19 02:03 02:08 02:13 02:18 03:02 03:07 03:12 03:17 04:01 04:06 04:11 04:16
06 06 12 18 01:03 01:09 01:15 02:00 02:06 02:12 02:18 03:03 03:09 03:15 04:00 04:06 04:12 04:18 05:03 05:09 05:15
07 07 14 01:00 01:07 01:14 02:00 02:07 02:14 03:00 03:07 03:14 04:00 04:07 04:14 05:00 05:07 05:14 06:00 06:07 06:14
08 08 16 01:03 01:11 01:19 02:06 02:14 03:01 03:09 03:17 04:04 04:12 04:20 05:07 05:15 06:02 06:10 06:18 07:05 07:13
09 09 18 01:06 01:15 02:03 02:12 03:00 03:09 03:18 04:06 04:15 05:03 05:12 06:00 06:09 06:18 07:06 07:15 08:03 08:12
10 10 20 01:09 01:19 02:08 02:18 03:07 03:17 04:06 04:16 05:05 05:15 06:04 06:14 07:03 07:13 08:02 08:12 09:01 09:11
11 11 01:01 01:12 02:02 02:13 03:03 03:14 04:04 04:15 05:05 05:16 06:06 06:17 07:07 07:18 08:08 08:19 09:09 09:20 10:10
12 12 01:03 01:15 02:06 02:18 03:09 04:00 04:12 05:03 05:15 06:06 06:18 07:09 08:00 08:12 09:03 09:15 10:06 10:18 11:09
13 13 01:05 01:18 02:10 03:02 03:15 04:07 04:20 05:12 06:04 06:17 07:09 08:01 08:14 09:06 09:19 10:11 11:03 11:16 12:08
14 14 01:07 02:00 02:14 03:07 04:00 04:14 05:07 06:00 06:14 07:07 08:00 08:14 09:07 10:00 10:14 11:07 12:00 12:14 13:07
15 15 01:09 02:03 02:18 03:12 04:06 05:00 05:15 06:09 07:03 07:18 08:12 09:06 10:00 10:15 11:09 12:03 12:18 13:12 14:06
16 16 01:11 02:06 03:01 03:17 04:12 05:07 06:02 06:18 07:13 08:08 09:03 09:19 10:14 11:09 12:04 12:20 13:15 14:10 15:05
17 17 01:13 02:09 03:05 04:01 04:18 05:14 06:10 07:06 08:02 08:19 09:15 10:11 11:07 12:03 12:20 13:16 14:12 15:08 16:04
18 18 01:15 02:12 03:09 04:06 05:03 06:00 06:18 07:15 08:12 09:09 10:06 11:03 12:00 12:18 13:15 14:12 15:09 16:06 17:03
19 19 01:17 02:15 03:13 04:11 05:09 06:07 07:05 08:03 09:01 09:20 10:18 11:16 12:14 13:12 14:10 15:08 16:06 17:04 18:02
20 20 01:19 02:18 03:17 04:16 05:15 06:14 07:13 08:12 09:11 10:10 11:09 12:08 13:07 14:06 15:05 16:04 17:03 18:02 19:01
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

Pirminiai skaičiai-repunitai

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  • Pirminiai skaičiai dvidešimtainėje sistemoje susidedantys iš p vienetų, kur p yra šie: 3, 11, 17, 1487, 31013, 48859, 61403...

3, 11, 17, 43, 271...


Pirminių skaičių atvirkštinės reikšmės

[edit]
  • Pirminių skaičių atvirkštinės reikšmės (1/p); bei visų iki 23 skaičių atvirkštinės reikšmės (1/n) (ir kai kurių pasirinktų)...

l.p. - periodo ilgis; pp=priešperiodė

2: 00,10:10:10:10:10:10:10:10:10:10:10:10... l.p. = 1

3: 00,07:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

4: 00,05:05:05:05:05:05:05:05:05:05:05:05... l.p. = 1

5: 00,04:04:04:04:04:04:04:04:04:04:04:04... l.p. = 1

6: 00,03:10:10:10:10:10:10:10:10:10:10:10:10... l.p. = 1+1pp

7: 00,03:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

8: 00,02:13:02:13:02:13:02:13:02:13:02:13... l.p. = 2

9: 00,02:07:00:00:00:00:00:00:00:00:00:00... l.p. = 0+2pp

10: 00,02:02:02:02:02:02:02:02:02:02:02:02... l.p. = 1

11: 00,01:19:01:19:01:19:01:19:01:19:01:19... l.p. = 2

12: 00,01:15:15:15:15:15:15:15:15:15:15:15:15... l.p. = 1+1pp

13: 00,01:12:19:08:01:12:19:08:01:12:19:08... l.p. = 4

14: 00,01:10:10:10:10:10:10:10:10:10:10:10:10... l.p. = 1+1pp

15: 00,01:08:08:08:08:08:08:08:08:08:08:08:08... l.p. = 1+1pp

16: 00,01:06:11:17:01:06:11:17:01:06:11:17... l.p. = 4

17: 00,01:04:19:16:01:04:19:16:01:04:19:16... l.p. = 4

18: 00,01:03:10:10:10:10:10:10:10:10:10:10... l.p. = 1+2pp

19: 00,01:02:04:08:17:14:07:15:09:19:18:16:12:03:06:13:05:11... l.p. = 18

20: 00,01:01:01:01:01:01:01:01:01:01:01:01... l.p. = 1

21: 00,01:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

22: 00,00:20:00:20:00:20:00:20:00:20:00:20... l.p. = 2

23: 00,00:19:03:13:14:12:16:09:02:15:10:20... l.p. = 22

25: 00,00:17:13:09:05:00:17:13:09:05... l.p. = 5

27: 00,00:16:07:00:00:00:00:00:00:00:00:00... l.p. = 0+3pp

29: 00,00:15:04:07:05:01:09:08:14:10:02:18... l.p. = 28

31: 00,00:14:04:15:12:04:01:07:09:10:03:08... l.p. = 30

32: 00,00:13:16:08:11:03:05:19:00:13:16:08:11:03:05:19... l.p. = 8

37: 00,00:11:19:06:05:02:05:14:03:20:09:01:14:15:18:15:06:17... l.p. = 18

41: 00,00:10:15:18:09:04:12:16:18:19:20:10:05:02:11:16:08:04:02:01... l.p. = 20

43: 00,00:10:05:07:17:01:20:00:10:05:07:17:01:20... l.p. = 7

47: 00,00:09:08:00:18:16:01:16:11:03:12:01... l.p. = 23

49: 00,00:09:00:00:00:00:00:00:00:00:00:00... l.p. = 1+2pp

53: 00,00:08:06:15:09:10:14:13:18:04:15:17... l.p. = 52

59: 00,00:07:09:20:06:01:01:08:18:18:03:04... l.p. = 29

61: 00,00:07:04:17:04:09:20:13:16:03:16:11... l.p. = 12

64: 00,00:06:18:14:16:01:13:09:10:17:08:04:05:12:02:20... l.p. = 16

67: 00,00:06:12:04:14:15:07:10:20:07:17:11... l.p. = 33

71: 00,00:06:04:09:03:11:11:05:00:12:08:18... l.p. = 70

73: 00,00:06:00:18:02:12:07:16:02:06:06:18:20:14:20:02:18:08:13:04:18:14:14:02... l.p. = 24

79: 00,00:05:12:04:16:10:02:02:13:17:05:17:17... l.p. = 13

81: 00,00:05:09:07:00:00:00:00:00:00:00:00... l.p. = 0+4pp

83: 00,00:05:06:12:03:00:15:19:15:09:02:05... l.p. = 41

89: 00,00:04:20:01:03:16:05:18:18:08:10:08... l.p. = 44

97: 00,00:04:11:09:20:02:17:02:03:09:15:12... l.p. = 96

101: 00,00:04:07:14:11:13:10:17:01:00:17:09... l.p. = 50

103: 00,00:04:05:19:03:09:16:10:16:19:07:15... l.p. = 102

107: 00,00:04:02:11:12:03:11:03:19:09:00:12... l.p. = 106

109: 00,00:04:00:20:04:17:03:01:15:08:14:01... l.p. = 27

113: 00,00:03:18:20:01:10:04:13:11:18:16:03... l.p. = 112

121: 00,00:03:13:11:05:18:19:05:11:13:03:20:17:07:09:15:02:01:15:09:07:17... l.p. = 22

125: 00,00:03:11:01:17:16:20:06:18:13:12:16... l.p. = 25

127: 00,00:03:09:19:07:05:16:11:05:02:13:11... l.p. = 63

128: 00,00:03:09:07:08:00:17:04:15:19:04:02... l.p. = 32

131: 00,00:03:07:14:12:07:04:10:05:09:09:12... l.p. = 65

137: 00,00:03:04:12:11:20:01:14:08:12:05:10... l.p. = 136

139: 00,00:03:03:13:03:00:09:10:18:09:01:07... l.p. = 138

149: 00,00:02:20:03:05:01:11:11:14:13:17:01... l.p. = 148

151: 00,00:02:19:06:20:00:11:14:06:17:02:04... l.p. = 75

...

Atvirkštinių reikšmių periodų ilgiai (l.p.) 3 - 49

[edit]

463: ... l.p. = 3

...

40841: ... l.p. = 5

421: ... l.p. = 6

631: ... l.p. = 7

3319: ... l.p. = 7

97241: ... l.p. = 8

85775383: ... l.p. = 9

185641: ... l.p. = 10

17513875027111: ... l.p. = 11

3181: ... l.p. = 12

189437: ... l.p. = 13

516094151: ... l.p. = 13

81867661: ... l.p. = 14

211: ... l.p. = 15

9391: ... l.p. = 15

18181: ... l.p. = 15

62897: ... l.p. = 16

300673: ... l.p. = 16

1502097124754084594737: ... l.p. = 17

199: ... l.p. = 18

613: ... l.p. = 18

12061389013: ... l.p. = 19

54921106624003: ... l.p. = 19

920421641: ... l.p. = 20

4789: ... l.p. = 21

6427: ... l.p. = 21

227633407: ... l.p. = 21

6073: ... l.p. = 22

10362529: ... l.p. = 22

19597: ... l.p. = 23

139870566115103282847737: ... l.p. = 23

518118697: ... l.p. = 24

2031851: ... l.p. = 25

27385718497004633851: ... l.p. = 25

7021471715414521: ... l.p. = 26

163: ... l.p. = 27

4779433: ... l.p. = 27

7429452749713: ... l.p. = 27

3697: ... l.p. = 28

68454248717: ... l.p. = 28

1103704099: ... l.p. = 29

246763300513: ... l.p. = 29

687613372491653: ... l.p. = 29

2551: ... l.p. = 30

501001: ... l.p. = 30

4540713283: ... l.p. = 31

3936833990413: ... l.p. = 31

272581865551637989: ... l.p. = 31

1217: ... l.p. = 32

2689: ... l.p. = 32

31873: ... l.p. = 32

6857635489: ... l.p. = 32

3955202198062795629622003: ... l.p. = 33

11969: ... l.p. = 34

114089969144083169: ... l.p. = 34

1471: ... l.p. = 35

4149601: ... l.p. = 35

20028751: ... l.p. = 35

421503321597121: ... l.p. = 35

1693: ... l.p. = 36

4344847859197: ... l.p. = 36

31081: ... l.p. = 37

1681762703: ... l.p. = 37

7995105693353508392600118377453099: ... l.p. = 37

609673: ... l.p. = 38

987749814642143197: ... l.p. = 38

547: ... l.p. = 39

1171: ... l.p. = 39

80459337199345300130638393: ... l.p. = 39

3441241: ... l.p. = 40

415710882920521: ... l.p. = 40

14122861: ... l.p. = 41

83218931: ... l.p. = 41

17222085343: ... l.p. = 41

914531249431: ... l.p. = 41

52899783148909: ... l.p. = 41

337: ... l.p. = 42

22864311556633: ... l.p. = 42

35842614220783025524408588074144786493150233831596714503: ... l.p. = 43

661: ... l.p. = 44

4718573764413203147069: ... l.p. = 44

41489011: ... l.p. = 45

57815101: ... l.p. = 45

22554946693833031: ... l.p. = 45

277: ... l.p. = 46

461: ... l.p. = 46

599: ... l.p. = 46

691: ... l.p. = 46

2215825387044753577: ... l.p. = 46

49727: ... l.p. = 47

227011: ... l.p. = 47

75042551: ... l.p. = 47

158545759: ... l.p. = 47

5298873343: ... l.p. = 47

9794718038248648833094153: ... l.p. = 47

193: ... l.p. = 48

433: ... l.p. = 48

673: ... l.p. = 48

1001713: ... l.p. = 48

25392481: ... l.p. = 48

7057: ... l.p. = 49

1606344741163: ... l.p. = 49

1767442850839: ... l.p. = 49

1703751007820049542146461103: ... l.p. = 49

Atvirkštinių reikšmių periodų ilgiai (l.p.) 50 - 99

[edit]

11093851: ... l.p. = 50

248303068144516751: ... l.p. = 50

38047: ... l.p. = 51

51233569124705721849500009982296618143: ... l.p. = 51

32969: ... l.p. = 52

101089: ... l.p. = 52

23509884574335185209: ... l.p. = 52

1697: ... l.p. = 53

207612155793974069: ... l.p. = 53

372515213872960388437: ... l.p. = 53

4555268603071594349347155493: ... l.p. = 53

5077: ... l.p. = 54

17497: ... l.p. = 54

7101932659132249: ... l.p. = 54

881: ... l.p. = 55

5664205361: ... l.p. = 55

270573999780463721: ... l.p. = 55

54598616218616435702441: ... l.p. = 55

617: ... l.p. = 56

912521: ... l.p. = 56

115593326297: ... l.p. = 56

831380909129: ... l.p. = 56

304609: ... l.p. = 57

1244541772187848099210936765314595053007129: ... l.p. = 57

1277: ... l.p. = 58

7865855595529911658005355038639053: ... l.p. = 58

896447: ... l.p. = 59

334217419: ... l.p. = 59

47540111129611360301: ... l.p. = 59

3599933694931243085497791696053868938364103: ... l.p. = 59

1360861: ... l.p. = 60

920421641: ... l.p. = 60

1053606939618901: ... l.p. = 60

15373: ... l.p. = 61

12519763: ... l.p. = 61

1128331159687: ... l.p. = 61

1814065850324073713: ... l.p. = 61

57398774322642953389748085156004642469: ... l.p. = 61

78059: ... l.p. = 62

56748249908554278937564172324714039: ... l.p. = 62

51787: ... l.p. = 63

22125429901: ... l.p. = 63

27186384126763: ... l.p. = 63

100595851688887003: ... l.p. = 63

1023263388750334684164671319051311082339521: ... l.p. = 64

443431: ... l.p. = 65

47999819885150422820855221255204479443163906801765079421: ... l.p. = 65

3499: ... l.p. = 66

28513: ... l.p. = 66

33199x87989435079877: ... l.p. = 66

269: ... l.p. = 67

324363426169571: ... l.p. = 67

312929837239650768379490219650039: ... l.p. = 67

71028332352256443443129296219339913167: ... l.p. = 67

300293033: ... l.p. = 68

399981195234791390040813065378761: ... l.p. = 68

459878292118921111: ... l.p. = 69

31179105887601949149105715319437017328831: ... l.p. = 69

140351: ... l.p. = 70

78555121: ... l.p. = 70

72413241922093801: ... l.p. = 70

493509073: ... l.p. = 71

6912925952086714539251625713: ... l.p. = 71

110556144297525239244017467747224789359885811468762753179: ... l.p. = 71

816769: ... l.p. = 72

808208209: ... l.p. = 72

81967288802253121: ... l.p. = 72

30661: ... l.p. = 73

5424905842809814580790135175148153005273370039115139875248165723989059011789226683837426053: ... l.p. = 73

379919184478057330357419845346252603881265273961: ... l.p. = 74

151: ... l.p. = 75

1051: ... l.p. = 75

1801: ... l.p. = 75

9728219701: ... l.p. = 75

201307465501: ... l.p. = 75

138288178346489520230701: ... l.p. = 75

229: ... l.p. = 76

457: ... l.p. = 76

3794540985952206860593938878074866571399837: ... l.p. = 76

6225803431: ... l.p. = 77

39824892937303186001525100993399811: ... l.p. = 77

82721492925050166710438512180782661: ... l.p. = 77

11701: ... l.p. = 78

629773: ... l.p. = 78

7691526674487958994017: ... l.p. = 78

2687: ... l.p. = 79

10903: ... l.p. = 79

15208288358346544216626697: ... l.p. = 79

122435283552586211204658864416622901: ... l.p. = 79

261513239159154440967606433092726647: ... l.p. = 79 241: ... l.p. = 80

9521: ... l.p. = 80

22995281: ... l.p. = 80

33534961: ... l.p. = 80

3184193681: ... l.p. = 80

363230092241: ... l.p. = 80

251097226443098886970664441840231990201201851332912023687544574398706423: ... l.p. = 81

1231: ... l.p. = 82

1766117: ... l.p. = 82

33985282117517881270903492784746835442538163: ... l.p. = 82

167: ... l.p. = 83

756131: ... l.p. = 83

941221: ... l.p. = 83

2334351997697040387448341592997138604460338237413223529466429945751726176986579124533941307079: ... l.p. = 83

18481: ... l.p. = 84

2934413293238858072198024161: ... l.p. = 84

11500287881306297400572689205013166485061: ... l.p. = 85

346846213951614446714019035689488886491130381: ... l.p. = 85

173: ... l.p. = 86

15739: ... l.p. = 86

126851: ... l.p. = 86

169367548429: ... l.p. = 86

1163308526467: ... l.p. = 86

478811691676843729951: ... l.p. = 86

7826081384442721874824416529: ... l.p. = 87

13477015991023291802765110016390772920553907009: ... l.p. = 87

353: ... l.p. = 88

313433209: ... l.p. = 88

715521049: ... l.p. = 88

29831330140869137: ... l.p. = 88

32775913825604401: ... l.p. = 88

138348511207: ... l.p. = 89

1719937817227174896868741057213630597485253956382680484361683645714455944660556942937263903929864448451087: ... l.p. = 89

658261: ... l.p. = 90

82207575664095002495707981: ... l.p. = 90

35381269315942497678572657090020747: ... l.p. = 91

4264091474110761334946377629947327910839217826620223120485043: ... l.p. = 91

477045301: ... l.p. = 92

11918195405621: ... l.p. = 92

2641770975903509717963660601029203121: ... l.p. = 92

373: ... l.p. = 93

1303: ... l.p. = 93

5490236844314625181981860471139: ... l.p. = 93

7687249112242592598176964045333142849438561: ... l.p. = 93

283: ... l.p. = 94

1129: ... l.p. = 94

10165349: ... l.p. = 94

32036611: ... l.p. = 94

230199028303: ... l.p. = 94

264564425522789761284612235919: ... l.p. = 94

19449969211: ... l.p. = 95

619598441951897251: ... l.p. = 95

2522688573446019221: ... l.p. = 95

4962575794097659196896553056277931780683391554141: ... l.p. = 95

97: ... l.p. = 96

93310250563834657: ... l.p. = 96

226108215051938888394049: ... l.p. = 96

1747: ... l.p. = 97

298027069: ... l.p. = 97

99141858256733: ... l.p. = 97

29748627560719740825024892426535732998061: ... l.p. = 97

5860963105358989903195525558207622859647715180010295355986863: ... l.p. = 97

2524084462789: ... l.p. = 98

86494371600108393937: ... l.p. = 98

156357474589352978545297: ... l.p. = 98

782006960636353: ... l.p. = 99

146354764854514987: ... l.p. = 99

188145268678304791443009491673532813732054627291: ... l.p. = 99

Atvirkštinių reikšmių periodų ilgiai (l.p.) 100 - 149

[edit]

19501: ... l.p. = 100

56501: ... l.p. = 100

33360993558601: ... l.p. = 100

2105812970476039816410905651801: ... l.p. = 100

Taip pat žiūrėkite

[edit]