# Aštuonioliktainė skaičiavimo sistema

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 17(10) naudojami dviženkliai simboliai, atskirti tarpusavyje dvitaškiu (:). Dvitaškis nenaudojamas iki 17(10), t.y. 00(18) - 17(18).

## Skaičių eilė

Skaičių eilė (* paženklinti pirminiai, ** n-laipsniu pakelti pirminiai skaičiai)
00, 01, 02*, 03*, 04**, 05*, 06, 07*, 08**, 09**, 10, 11*, 12, 13*, 14, 15, 16**, 17*, 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, 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*, 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*, 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**, 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*, 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**, 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, 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, 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*, 10:00,

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

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

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

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

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

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

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

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

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

01:01:01**,

...

## Daugybos lentelė

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

## Pirminiai skaičiai-repunitai

• Pirminiai skaičiai aštuonioliktainėje sistemoje susidedantys iš p vienetų, kur p yra šie: 2, 25667, 28807...

## Pirminių skaičių atvirkštinės reikšmės

• Pirminių skaičių atvirkštinės reikšmės (1/p); bei visų iki 21 skaičių atvirkštinės reikšmės (1/n) (ir kai kurių pasirinktų)...

l.p. - periodo ilgis; pp=priešperiodė

2: 00,09:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

3: 00,06:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

4: 00,04:09:00:00:00:00:00:00:00:00:00:00... l.p. = 0+2pp

5: 00,03:10:14:07:03:10:14:07:03:10:14:07... l.p. = 4

6: 00,03:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

7: 00,02:10:05:02:10:05:02:10:05:02:10:05... l.p. = 3

8: 00,02:04:09:00:00:00:00:00:00:00:00:00... l.p. = 0+3pp

9: 00,02:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

10: 00,01:14:07:03:10:14:07:03:10:14:07:03:10... l.p. = 4+1pp

11: 00,01:11:08:03:04:16:06:09:14:13... l.p. = 10

12: 00,01:09:00:00:00:00:00:00:00:00:00:00... l.p. = 0+2pp

13: 00,01:06:16:11:01:06:16:11:01:06:16:11... l.p. = 4

14: 00,01:05:02:10:05:02:10:05:02:10:05:02:10... l.p. = 3+1pp

15: 00,01:03:10:14:07:03:10:14:07:03:10:14:07... l.p. = 4+1pp

16: 00,01:02:04:09:00:00:00:00:00:00:00:00... l.p. = 0+4pp

17: 00,01:01:01:01:01:01:01:01:01:01:01:01... l.p. = 1

18: 00,01:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

19: 00,00:17:00:17:00:17:00:17:00:17:00:17... l.p. = 2

20: 00,00:16:03:10:14:07:03:10:14:07:03:10:14:07... l.p. = 4+2pp

23: 0,00:14:01:10:03:02:06:04:12:09:07... l.p. = 11

25: 00,00:12:17:05:00:12:17:05:00:12:17:05... l.p. = 4

27: 00,00:12:00:00:00:00:00:00:00:00:00:00... l.p. = 0+2pp

29: 00,00:11:03:01:15:09:05:10:09:16:13:11:14:04:17:06:14:16:02:08:12:07:08:01:04:06:03:13... l.p. = 28

31: 00,00:10:08:02:05:14:09:05:04:01:02:16:04:11:11... l.p. = 15

37: 00,00:08:13:11:03:07:05:06:05:15:01:08... l.p. = 36

41: 00,00:07:16:04:07:00:07:16:04:07... l.p. = 5

43: 00,00:07:09:11:05:07:17:02:16:13:07:02... l.p. = 42

47: 00,00:06:16:01:09:10:06:02:05:06:09:03:08:00:13:14:03:01:02:12:04:10:13... l.p. = 23

49: 00,00:06:11:00:06:11:00:06:11:00:06:11... l.p. = 3

53: 00,00:06:02:00:12:04:01:06:08:02:12:16... l.p. = 52

59: 00,00:05:08:15:04:10:06:12:14:11:10:12... l.p. = 58

61: 00,00:05:05:10:16:09:07:17:07:06:14:02... l.p. = 60

67: 00,00:04:15:00:14:09:02:07:09:07:04:10... l.p. = 66

71: 00,00:04:10:02:09:11:07:06:06:01:09:06... l.p. = 35

73: 00,00:04:07:16:00:08:15:14:00:17:13:10:01:17:09:02:03:17... l.p. = 18

79: 00,00:04:01:14:14:10:08:11:15:04:14:02:05... l.p. = 13

81: 00,00:04:00:00:00:00:00:00:00:00:00:00... l.p. = 0+2pp

83: 00,00:03:16:04:13:15:14:17:06:05:03:12... l.p. = 82

89: 00,00:03:11:09:09:01:14:13:13:09:16:06... l.p. = 44

97: 00,00:03:06:02:04:01:08:12:17:14:11:15... l.p. = 16

101: 00,00:03:03:13:06:10:12:08:09:17:11:10... l.p. = 100

103: 00,00:03:02:11:03:05:13:14:09:01:10:05... l.p. = 51

107: 00,00:03:00:09:01:09:04:09:13:11:04:15... l.p. = 106

109: 00,00:02:17:09:01:08:13:09:13:06:13:15... l.p. = 108

113: 00,00:02:15:10:17:15:02:07... l.p. = 8

125: 00,00:02:10:11:14:09:14:04:10:16:17:15... l.p. = 20

127: 00,00:02:09:16:10:08:14:03:02:02:04:14... l.p. = 63

128: 00,00:02:09:10:02:04:09:00:00:00:00:00... l.p. = 0+7pp

131: 00,00:02:08:09:06:03:05:06:08:04:07:02... l.p. = 26

137: 00,00:02:06:10:04:08:07:06:07:15:16:02... l.p. = 34

139: 00,00:02:05:17:04:00:04:11:16:08:00:09... l.p. = 138

149: 00,00:02:03:02:09:11:17:04:17:02:14:00:04... l.p. = 148

151: 00,00:02:02:11:03:12:09:05:06:10:00:04... l.p. = 75

...

289: 00,00:01:02:03:04:05:06:07:08:09:10:11:12:13:14:15:17... l.p. = 17

...

## Atvirkštinių reikšmių periodų ilgiai (l.p.) 5 - 49

2711... l.p. = 5

307... l.p. = 6

449... l.p. = 7

80207... l.p. = 7

929... l.p. = 8

991... l.p. = 9

34327... l.p. = 9

9041... l.p. = 10

199... l.p. = 11

16127... l.p. = 11

51217... l.p. = 11

229... l.p. = 12

457... l.p. = 12

521... l.p. = 13

29759719289... l.p. = 13

32222107... l.p. = 14

601... l.p. = 15

558721... l.p. = 15

113607841... l.p. = 16

7563707819165039903... l.p. = 17

465841... l.p. = 18

6841... l.p. = 19

6089884909802812423... l.p. = 19

15101... l.p. = 20

145501... l.p. = 20

156107192084257... l.p. = 21

536801... l.p. = 22

6301307... l.p. = 22

599... l.p. = 23

7468009... l.p. = 23

20801237997245359... l.p. = 23

11019855601... l.p. = 24

602401... l.p. = 25

21162386787273369601... l.p. = 25

2081... l.p. = 26

4020180841... l.p. = 26

23761... l.p. = 27

253369... l.p. = 27

1464049... l.p. = 27

4464073... l.p. = 27

1373... l.p. = 28

17837... l.p. = 28

1623833... l.p. = 28

1505548068007783... l.p. = 29

98800490511312118297... l.p. = 29

11630180251... l.p. = 30

311... l.p. = 31

12959... l.p. = 31

1276827537047... l.p. = 31

3930785153... l.p. = 32

30894471809... l.p. = 32

12042065697120681040605799... l.p. = 33

443... l.p. = 34

1895634885375961... l.p. = 34

4274201... l.p. = 35

4164889456901862302881... l.p. = 35

25309... l.p. = 36

33388093... l.p. = 36

157991... l.p. = 37

10375318069755905859690041706382489471961... l.p. = 37

1961870762757168078553... l.p. = 38

7424759473... l.p. = 39

170258429679493134487... l.p. = 39

881... l.p. = 40

137841514501966721... l.p. = 40

3811279... l.p. = 41

114341047... l.p. = 41

394867037344695962525971723264825927... l.p. = 41

46747... l.p. = 42

607371619... l.p. = 42

431... l.p. = 43

4464951753212028068412713... l.p. = 43

28971751902509263440682681... l.p. = 43

55547468813... l.p. = 44

2570735949673... l.p. = 44

1338029376807245057016053427001... l.p. = 45

3913037558632733048069409307... l.p. = 46

20681... l.p. = 47

283000552804612324998031105442040281801013193565594903... l.p. = 47

1153... l.p. = 48

2474209... l.p. = 48

42569092513... l.p. = 48

101921... l.p. = 49

32401295018849... l.p. = 49

15944803462923633762605952120076033... l.p. = 49

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

738851... l.p. = 50

17254127651933924651: ... l.p. = 50

10413571416962911: ... l.p. = 51

12987756239101305138847: ... l.p. = 51

21997: ... l.p. = 52

5601346141: ... l.p. = 52

15715445027621: ... l.p. = 52

4239894319: ... l.p. = 53

46950348182128332126379933709499018110168129345669111329: ... l.p. = 53

31865908033: ... l.p. = 54

1234749313729: ... l.p. = 54

50790191: ... l.p. = 55

125500908706801: ... l.p. = 55

24079647987394646183428194161: ... l.p. = 55

3697: ... l.p. = 56

361981632928757554946658433: ... l.p. = 56

1288363483639: ... l.p. = 57

1135070056132121343004681823047441: ... l.p. = 57

2255781524824231358697279947382689: ... l.p. = 58

4295428888967: ... l.p. = 59

128998224914431: ... l.p. = 59

312278175742409: ... l.p. = 59

39128840454084865858255640571151: ... l.p. = 59

15121: ... l.p. = 60

16921: ... l.p. = 60

7804804801: ... l.p. = 60

367831: ... l.p. = 61

4110876980385153863: ... l.p. = 61

1450744996988333189921892673782384233809551686747567: ... l.p. = 61

1427: ... l.p. = 62

70619: ... l.p. = 62

427906142457974033788659934939: ... l.p. = 62

631: ... l.p. = 63

2143: ... l.p. = 63

1292257: ... l.p. = 63

6974796889885559915764172408527: ... l.p. = 63

254209: ... l.p. = 64

475777: ... l.p. = 64

121934274199167596917341199489: ... l.p. = 64

911: ... l.p. = 65

260674349667764744544365521: ... l.p. = 65

7122627224638909118690351246321: ... l.p. = 65

25939: ... l.p. = 66

7741563936876515923: ... l.p. = 66

864167: ... l.p. = 67

14184594510552113: ... l.p. = 67

562081533912939823: ... l.p. = 67

10829165718047954727946216809876203820917671: ... l.p. = 67

1429: ... l.p. = 68

6257: ... l.p. = 68

20786377: ... l.p. = 68

1292838509: ... l.p. = 68

61187167524277573: ... l.p. = 68

4831: ... l.p. = 69

3335831283765997129468848570484932171598514072932729: ... l.p. = 69

211: ... l.p. = 70

117251: ... l.p. = 70

3052211: ... l.p. = 70

4179001: ... l.p. = 70

4476462481: ... l.p. = 70

569: ... l.p. = 71

171677613761: ... l.p. = 71

23821298356519: ... l.p. = 71

8313279867213693856690162577: ... l.p. = 71

404888252726379587195529885794129: ... l.p. = 71

1338258845052393545608356556801: ... l.p. = 72

439: ... l.p. = 73

239879: ... l.p. = 73

846217: ... l.p. = 73

118874953: ... l.p. = 73

239560437299594270561494729006400795838750182585371182921815375952671: ... l.p. = 73

1259: ... l.p. = 74

1164939463722239475169554761379636729267089: ... l.p. = 74

106487551: ... l.p. = 75

78180455401: ... l.p. = 75

129278406971133461403718040401: ... l.p. = 75

60497: ... l.p. = 76

269117: ... l.p. = 76

74792209: ... l.p. = 76

6261053129: ... l.p. = 76

202438500542522921: ... l.p. = 76

463: ... l.p. = 77

4226158024555207354137717207823767090063569445942721682870403141495192673: ... l.p. = 77

1412364383703504438982118048251: ... l.p. = 78

338279: ... l.p. = 79

1104737: ... l.p. = 79

12802037494726063: ... l.p. = 79

9886837665707422272737: ... l.p. = 79

1824771736962009962008821260930608362080770046711: ... l.p. = 79

641: ... l.p. = 80

23007113434668367286031526391280991361: ... l.p. = 80

487: ... l.p. = 81

27470503: ... l.p. = 81

1964508729666289645801020967: ... l.p. = 81

2317745463335260122632425120711: ... l.p. = 81

168347: ... l.p. = 82

4354359491: ... l.p. = 82

24997711153: ... l.p. = 82

101230436110007637061337: ... l.p. = 82

167: ... l.p. = 83

59263: ... l.p. = 83

86802964875867109109279559751944809: ... l.p. = 83

10547130976787567739760741415960485703934860841255807268617487: ... l.p. = 83

337: ... l.p. = 84

153133: ... l.p. = 84

31714369: ... l.p. = 84

820207420126249: ... l.p. = 84

1361: ... l.p. = 85

3911: ... l.p. = 85

3462391: ... l.p. = 85

5124991: ... l.p. = 85

10275311: ... l.p. = 85

23718627631: ... l.p. = 85

8923131267608947348958760704450309227970561: ... l.p. = 85

5129762401: ... l.p. = 86

597455435179: ... l.p. = 86

16276512351314787405765413256433: ... l.p. = 86

38281: ... l.p. = 87

20423794322970766662747461449: ... l.p. = 87

23844678628322370113260816873780684279: ... l.p. = 87

21649: ... l.p. = 88

36309857: ... l.p. = 88

206744368238633749680237203768363213057: ... l.p. = 88

2671: ... l.p. = 89

1412957489047649: ... l.p. = 89

36037321554594103: ... l.p. = 89

2373467556415439369: ... l.p. = 89

17280008471529631881887: ... l.p. = 89

55248602049369094679202144729777041: ... l.p. = 89

828811: ... l.p. = 90

1614949986544027569856891: ... l.p. = 90

8009: ... l.p. = 91

21841: ... l.p. = 91

107888439023: ... l.p. = 91

119941938141663914560035192594531172177434180409487272285332931752751273: ... l.p. = 91

1381: ... l.p. = 92

415381: ... l.p. = 92

25753561: ... l.p. = 92

5184266309231761249: ... l.p. = 92

222068509026238060237: ... l.p. = 92

52081: ... l.p. = 93

2031563183945918294071: ... l.p. = 93

361794341647699905505399: ... l.p. = 93

51124582874452705456885351: ... l.p. = 93

468121: ... l.p. = 94

1286609209: ... l.p. = 94

8694595042987947457948937711495049931245163: ... l.p. = 94

191: ... l.p. = 95

13828961: ... l.p. = 95

460137572778371557785054623257871: ... l.p. = 95

1862457611364175487570409238012726994823669889631: ... l.p. = 95

193: ... l.p. = 96

41448704449: ... l.p. = 96

1843537150504780075063108993: ... l.p. = 96

3881: ... l.p. = 97

130958018700810567361260919261914712849: ... l.p. = 97

6682028674792021850499658634432979974620281094975260236296555044282940787318279: ... l.p. = 97

883: ... l.p. = 98

29009: ... l.p. = 98

170227: ... l.p. = 98

86651455669280587: ... l.p. = 98

139362986236635048339131: ... l.p. = 98

3611719: ... l.p. = 99

4893407785654797223: ... l.p. = 99

117206168731902676796790484884706056816111011068777: ... l.p. = 99