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Číselné soustavy/Patnáctková soustava

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{cs}
Příslušnost: Kusurija

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 číslici 10(10) je používán náhradní symbol A(15), pro 11(10) - B(15), pro 12(10) - C(15), pro 13(10) - D(15), pro 14(10) - E

Číselná řada[editovat]

  • Číselná řada

0, 1, 2*, 3*, 4**, 5*, 6, 7*, 8**, 9**, A, B*, C, D*, E, 10,

11**, 12*, 13, 14*, 15, 16, 17, 18*, 19, 1A**, 1B, 1C**, 1D, 1E, 20,

21*, 22**, 23, 24, 25, 26, 27*, 28, 29, 2A, 2B*, 2C, 2D*, 2E, 30,

31, 32*, 33, 34**, 35, 36, 37, 38*, 39, 3A, 3B, 3C, 3D, 3E*, 40,

41*, 42, 43, 44**, 45, 46, 47, 48, 49, 4A, 4B*, 4C, 4D*, 4E, 50,

51, 52, 53, 54*, 55, 56**, 57, 58*, 59, 5A, 5B, 5C, 5D, 5E*, 60,

51, 52, 53, 54*, 55, 56**, 57, 58*, 59, 5A, 5B, 5C, 5D, 5E*, 60,

71, 72*, 73, 74*, 75, 76, 77, 78*, 79, 7A, 7B, 7C, 7D, 7E, 80,

81**, 82, 83, 84, 85**, 86, 87*, 88**, 89, 8A, 8B*, 8C, 8D, 8E, 90,

91, 92*, 93, 94*, 95, 96, 97, 98, 99, 9A, 9B, 9C, 9D, 9E*, A0,

A1*, A2, A3, A4, A5, A6, A7*, A8, A9, AA, AB, AC, AD*, AE, B0,

B1, B2*, B3, B4**, B5, B6, B7, B8*, B9, BA, BB, BC, BD, BE*, C0,

C1*, C2, C3, C4, C5, C6, C7, C8, C9, CA, CB*, CC, CD*, CE, D0,

D1, D2*, D3, D4*, D5, D6, D7, D8, D9, DA, DB, DC, DD, DE, E0,

E1*, E2, E3, E4, E5, E6, E7, E8, E9, EA, EB, EC, ED*, EE, 100,

101, 102*, 103, 104*, 105, 106, 107, 108*, 109, 10A, 10B, 10C, 10D, 10E*, 110, další členy řady viz tabulky ...


* jsou označena prvočísla, ** - jejich mocniny

Malá násobilka[editovat]

Malá násobilka patnáctkové soustavy
× 1 2 3 4 5 6 7 8 9 A B C D E 10 11 12 13 14
1 1 2 3 4 5 6 7 8 9 A B C D E 10 11 12 13 14
2 2 4 6 8 A C E 11 13 15 17 19 1B 1D 20 22 24 26 28
3 3 6 9 C 10 13 16 19 1C 20 23 26 29 2C 30 33 36 39 3C
4 4 8 C 11 15 19 1D 22 26 2A 2E 33 37 3B 40 44 48 4C 51
5 5 A 10 15 1A 20 25 2A 30 35 3A 40 45 4A 50 55 5A 60 65
6 6 C 13 19 20 26 2C 33 39 40 46 4C 53 59 60 66 6C 73 79
7 7 E 16 1D 25 2C 34 3B 43 4A 52 59 61 68 70 77 7E 86 8D
8 8 11 19 22 2A 33 3B 44 4C 55 5D 66 6E 77 80 88 91 99 A2
9 9 13 1C 26 30 39 43 4C 56 60 69 73 7C 86 90 99 A3 AC B6
A A 15 20 2A 35 40 4A 55 60 6A 75 80 8A 95 A0 AA B5 C0 CA
B B 17 23 2E 3A 46 52 5D 69 75 81 8C 98 A4 B0 BB C7 D3 DE
C C 19 26 33 40 4C 59 66 73 80 8C 99 A6 B3 C0 CC D9 E6 103
D D 1B 29 37 45 53 61 6E 7C 8A 98 A6 B4 C2 D0 DD EB 109 117
E E 1D 2C 3B 4A 59 68 77 86 95 A4 B3 C2 D1 E0 EE 10D 11C 12B
10 10 20 30 40 50 60 70 80 90 A0 B0 C0 D0 E0 100 110 120 130 140

Repunitová prvočísla[editovat]

Prvočísla, která se v patnáctkové soustavě skládají z p jedniček, kde p jsou tato: 3, 43, 73, 487, 2979, 8741, 37441, 89009, 505117, ...

Převrácené hodnoty prvočísel[editovat]

  • Převrácené hodnoty prvočísel (1/p); do 17 všech čísel (1/n) a vybraných součinů.

l.p. - délka periody; pp=předperioda

2: 0,777777777777... l.p. = 1

3: 0,500000000000... l.p. = 0+1pp

4: 0,3B3B3B3B3B3B... l.p. = 2

5: 0,300000000000... l.p. = 0+1pp

6: 0,277777777777... l.p. = 1+1pp

7: 0,222222222222... l.p. = 1

8: 0,1D1D1D1D1D1D... l.p. = 2

9: 0,1A0000000000... l.p. = 0+2pp

10: 0,177777777777... l.p. = 1+1pp

11: 0,156C4156C4... l.p. = 5

12: 0,13B3B3B3B3B3... l.p. = 2+1pp

13: 0,124936DCA5B8... l.p. = 12

14: 0,111111111111... l.p. = 1

15: 0,100000000000... l.p. = 0+1pp

16: 0,0E0E0E0E0E0E... l.p. = 2

17: 0,0D37E1B70D37E1B7... l.p. = 8

19: 0,0BC9718A3E3257D64B... l.p. = 18

23: 0,09BB1487291E... l.p. = 22

25: 0,090000000000... l.p. = 0+2pp

27: 0,085000000000... l.p. = 0+3pp

29: 0,07B5A528BD6A... l.p. = 28

30: 0,077777777777... l.p. = 1+1pp

31: 0,073D0E7B1E... l.p. = 10

32: 0,070707070707... l.p. = 2

37: 0,061339AE2C87... l.p. = 36

41: 0,0574B51C68BA... l.p. = 40

43: 0,05374D3C858A... l.p. = 21

45: 0,050000000000... l.p. = 0+2pp

47: 0,04BC1DACB751... l.p. = 46

49: 0,048D26B048D26B... l.p. = 7

53: 0,043A2C6BD47DD... l.p. = 13

59: 0,03C30B69244C... l.p. = 29

61: 0,03A4DB856232E3E... l.p. = 15

67: 0,03558E4DD32... l.p. = 11

71: 0,032806510CA2... l.p. = 35

73: 0,031375E5B47C... l.p. = 72

79: 0,02CAC51D7336... l.p. = 26

81: 0,02BA00000000... l.p. = 0+4pp

83: 0,02A9E16A47B8... l.p. = 82

89: 0,027DC483D22C... l.p. = 88

97: 0,024BD91CC7D4... l.p. = 96

101: 0,0236386EA827... l.p. = 100

103: 0,022B788D3BBE... l.p. = 51

105: 0,022222222222... l.p. = 1+1pp

107: 0,02181E68C723... l.p. = 106

109: 0,020E6B23062D... l.p. = 27

113: 0,01ED01ED01ED... l.p. = 4

121: 0,01CD5C5E3C9A... l.p. = 55

125: 0,01C000000000... l.p. = 0+3pp

127: 0,01B894E621D5... l.p. = 63

128: 0,01B5793D01B5793D... l.p. = 8

131: 0,01AB6B5088C3... l.p. = 65

135: 0,01A000000000... l.p. = 0+3pp

137: 0,01997D3AC8D06... l.p. = 34

139: 0,019431E20B4E... l.p. = 138

147: 0,017E5C3A17E5C3A... l.p. = 7+1pp

149: 0,0179B72334C7... l.p. = 148

151: 0,01753E908E18... l.p. = 150

157: 0,01676BB41956... l.p. = 156

163: 0,015A8B2057C4... l.p. = 81

167: 0,015322506B0A... l.p. = 166

169: 0,014E852343D8... l.p. = 156

173: 0,014796B6A227... l.p. = 86

179: 0,013CC4B9AC23... l.p. = 89

181: 0,0139A696AA55... l.p. = 45

191: 0,012A0BBA7CC038... l.p. = 95

193: 0,012748BB0826... l.p. = 192

196: 0,0123456789ABCE... l.p. = 14

197: 0,0121EA671341... l.p. = 98

199: 0,011E5E4C5661... l.p. = 198

211: 0,010EDE010EDE... l.p. = 6

223: 0,010204081122... l.p. = 37

225: 0,010000000000... l.p. = 0+2pp

227: 0,00ED03E710CD... l.p. = 226

229: 0,00EB10AC1B7DD... l.p. = 38

233: 0,00E741C08A57... l.p. = 116

239: 0,00E1C47BB0A5... l.p. = 119

241: 0,00E00E00E00E... l.p. = 3

243: 0,00DD50000000... l.p. = 0+5pp

251: 0,00D6A5E994C9... l.p. = 125

257: 0,00D1EB770E01... l.p. = 32

263: 0,00CC7556418E... l.p. = 262

269: 0,00C82E4E69806... l.p. = 268

271: 0,00C6C1C5EA04... l.p. = 270

277: 0,00C2B65CAD401... l.p. = 92

281: 0,00C026073169... l.p. = 280

283: 0,00BDD48594203... l.p. = 47

Délky př.h. 5 - 49[editovat]

4931: 0,000A4000A4... l.p. = 5

1743463: ... l.p. = 7

1489: 0,0023EECB0023EECB... l.p. = 8

541: 0,006389B5E... l.p. = 9

21061: ... l.p. = 9

1531: 0,00230EECBE... l.p. = 10

463: 0,007451BADB8... l.p. = 11

2333: 0,0016A75D96D... l.p. = 11

8537: 0,0005DE3EB37... l.p. = 11

3877: 0,000D0CEEE1E2... l.p. = 12

157483: ... l.p. = 13

16655159: ... l.p. = 13

10678711: ... l.p. = 14

39225301: ... l.p. = 15

7121: ... l.p. = 16

179953: ... l.p. = 16

1045002649: ... l.p. = 17

6734509609: ... l.p. = 17

739: 0,004878873EEA67667B... l.p. = 18

811: 0,004265260EEAC89C8E... l.p. = 18

4272113: ... l.p. = 19

370649274902657: ... l.p. = 19

19421: ... l.p. = 20

131381: ... l.p. = 20

2817034275427: ... l.p. = 21

23504771357: ... l.p. = 22

829: 0,0041102EBB22... l.p. = 23

31741: ... l.p. = 23

3046462151831565769: ... l.p. = 23

2562840001: ... l.p. = 24

46751: ... l.p. = 25

7112705843777290751: ... l.p. = 25

1539711288259: ... l.p. = 26

16354441: ... l.p. = 27

829049498029: ... l.p. = 27

4454215139669: ... l.p. = 28

15476275967141572773889537007699: ... l.p. = 29

19231: ... l.p. = 30

142111: ... l.p. = 30

311: 0,00ACBAC0D050E7... l.p. = 31

660603097954354915026956925328631: ... l.p. = 31

12779004583099009: ... l.p. = 32

62475406423: ... l.p. = 33

4969143820807: ... l.p. = 33

443: 0,007942712406... l.p. = 34

101462866544971: ... l.p. = 34

4167731: ... l.p. = 35

53096945644422356461: ... l.p. = 35

3506657472973: ... l.p. = 36

4441: ... l.p. = 37

32217011: ... l.p. = 37

2474070455887: ... l.p. = 37

29645965890637091: ... l.p. = 37

13757: ... l.p. = 38

439799488353587: ... l.p. = 38

1249: 0,002A7EBE0E37... l.p. = 39

20749: ... l.p. = 39

606451512892729597861: ... l.p. = 39

1201: 0,002C2443D3E5... l.p. = 40

133390439104361: ... l.p. = 40

8430332222527: ... l.p. = 41

14052995136749824817978552692323583: ... l.p. = 41

723031: ... l.p. = 42

191354311: ... l.p. = 42

26656068987980386414408582952871386493955339704241: ... l.p. = 43

617: 0,00570B48856A... l.p. = 44

536554814380116068153: ... l.p. = 44

92978587355640205970336221: ... l.p. = 45

6257: ... l.p. = 46

81421: ... l.p. = 46

825287: ... l.p. = 46

3549551867: ... l.p. = 46

659: 0,0051C4AA1E04... l.p. = 47

2351: 0,00168002D1005B2... l.p. = 47

6299: ... l.p. = 47

183959: ... l.p. = 47

2656097495066872027407960633754824283: ... l.p. = 47

3169: ... l.p. = 48

1659649: ... l.p. = 48

1248882721: ... l.p. = 48

5706541: ... l.p. = 48

10164071: ... l.p. = 49

4175288799599: ... l.p. = 49

14675999570738648605387: ... l.p. = 49

Délky př.h. 50 - 99[editovat]

9555151: ... l.p. = 50

34800625873379851: ... l.p. = 50

1123: 0,0030130732D4... l.p. = 51

1022449: ... l.p. = 51

3496561: ... l.p. = 51

97406069823939953821: ... l.p. = 51

11909: ... l.p. = 52

16433: ... l.p. = 52

18617: ... l.p. = 52

30313817: ... l.p. = 52

151747597: ... l.p. = 52

4423381: ... l.p. = 53

19273082604001: ... l.p. = 53

69249662260776479: ... l.p. = 53

2603667389751346537084259: ... l.p. = 53

1477891879996957031251: ... l.p. = 54

1011671: ... l.p. = 55

9273757272736041033417670310849312570581: ... l.p. = 55

766028506097: ... l.p. = 56

21975395880100433: ... l.p. = 56

292582141: ... l.p. = 57

6969521913939651515520634098282421: ... l.p. = 57

798962746803683694452047348022461: ... l.p. = 58

298157610720691362563759: ... l.p. = 59

587232859318586491409325369440965227015251999: ... l.p. = 59

33601: ... l.p. = 60

278041: ... l.p. = 60

706195561: ... l.p. = 60

367: ... l.p. = 61

7321: ... l.p. = 61

220692472927167836907173: ... l.p. = 61

66437728342254817921459404330630159646331: ... l.p. = 61

958459: ... l.p. = 62

12871001296201: ... l.p. = 62

14572134604887829: ... l.p. = 62

883: ... l.p. = 63

123229: ... l.p. = 63

399043: ... l.p. = 63

1470374630929: ... l.p. = 63

269297040407347: ... l.p. = 63

2689: ... l.p. = 64

1391359510721: ... l.p. = 64

5765807395792521302977: ... l.p. = 64

2019047273585208433900886541315654544678694069335036331: ... l.p. = 65

859: ... l.p. = 66

3055718821: ... l.p. = 66

135088596919: ... l.p. = 66

4954919: ... l.p. = 67

2628501058611905652954840361379: ... l.p. = 67

34454155184954549865168924228785385728941: ... l.p. = 67

29173: ... l.p. = 68

712573: ... l.p. = 68

3395062589: ... l.p. = 68

608605859277144821: ... l.p. = 68

967: ... l.p. = 69

434956681: ... l.p. = 69

80732172121: ... l.p. = 69

153908199071740625749971976183: ... l.p. = 69

497638891: ... l.p. = 70

36083117529286469251: ... l.p. = 70

91733: ... l.p. = 71

5957753: ... l.p. = 71

272301574062887284439621057578687: ... l.p. = 71

152648701624697715072344529259283770507: ... l.p. = 71

24481: ... l.p. = 72

964764793: ... l.p. = 72

9763752384289: ... l.p. = 72

5111329463430071646630167819950683399621676569261698373582346123709742512021745954241: ... l.p. = 73

593: ... l.p. = 74

5928049943: ... l.p. = 74

582492120825067581276282544339: ... l.p. = 74

20101: ... l.p. = 75

316091724098401: ... l.p. = 75

17402794883183351929087891501: ... l.p. = 75

26297: ... l.p. = 76

18434831466377: ... l.p. = 76

4485532699379697977461729: ... l.p. = 76

5237: ... l.p. = 77

28095816025663: ... l.p. = 77

233231979450578549516941109533238047237736577451339331: ... l.p. = 77

5557501: ... l.p. = 78

3230061048592350229141: ... l.p. = 78

317: ... l.p. = 79

289141: ... l.p. = 79

635202924304143926394929553206270861232915983823448379207983060226587253234146827953: ... l.p. = 79

1361: ... l.p. = 80

13535373521: ... l.p. = 80

2342027117915665091812321: ... l.p. = 80

163: ... l.p. = 81

19803428495911816157659521610469429585428513632230232098351227: ... l.p. = 81

1248945668780874865467604288287146622876086867: ... l.p. = 82

2158116330311: ... l.p. = 83

3220419108264156535849497113: ... l.p. = 83

424091160188578436595274724511088099915436894806250614687: ... l.p. = 83

3361: ... l.p. = 84

327517: ... l.p. = 84

15360796671433620373: ... l.p. = 84

1737312434693929309175606904667659697444924171560401053012526469801639759361: ... l.p. = 85

173: ... l.p. = 86

39205337: ... l.p. = 86

5519984993: ... l.p. = 86

16112471507273: ... l.p. = 86

38664536016220999: ... l.p. = 86

349: ... l.p. = 87

798084409: ... l.p. = 87

2434454875515985938258837058986771053264041318453337821: ... l.p. = 87

1242372349304878460334100748539075308315312809: ... l.p. = 88

179: ... l.p. = 89

807409: ... l.p. = 89

18500463452718361: ... l.p. = 89

12556389966735717239290312867405392279627344229633295496808036453334967380715171: ... l.p. = 89

991: ... l.p. = 90

47701: ... l.p. = 90

2568061: ... l.p. = 90

138711479680351: ... l.p. = 90

911: ... l.p. = 91

24002161: ... l.p. = 91

124074497: ... l.p. = 91

936800875930739: ... l.p. = 91

1751898328544152699647421291268992709749362876250277: ... l.p. = 91

277: ... l.p. = 92

2393: ... l.p. = 92

488153: ... l.p. = 92

132653513: ... l.p. = 92

40193672100977: ... l.p. = 92

3230238627505403797: ... l.p. = 92

34327408553153235877683920788486912324029949838354936279201903283843361: ... l.p. = 93

2947920462206937499: ... l.p. = 94

400546952025958526341824468624883789: ... l.p. = 94

191: ... l.p. = 95

65959677431: ... l.p. = 95

353424058867125396513542725081357813010609729278471262111403895782573241: ... l.p. = 95

97: ... l.p. = 96

91297: ... l.p. = 96

4871829138071848601730474137089: ... l.p. = 96

373115933: ... l.p. = 97

165984138349: ... l.p. = 97

3385663183327: ... l.p. = 97

1938177886827124931: ... l.p. = 97

211727039173815789139263712464214518933075943626165409606172029: ... l.p. = 97

197: ... l.p. = 98

883471: ... l.p. = 98

25036159: ... l.p. = 98

35549599: ... l.p. = 98

93589065767: ... l.p. = 98

1716116764931059: ... l.p. = 98

5347: ... l.p. = 99

55243: ... l.p. = 99

1741078786797952487623: ... l.p. = 99

71472830417465766173099456354984223218647: ... l.p. = 99

Délky př.h. 100 - 149[editovat]

101: ... l.p. = 100

1801: ... l.p. = 100

115201: ... l.p. = 100

5276658969583784209292870346873232901: ... l.p. = 100

205031: ... l.p. = 101

401588323: ... l.p. = 101

126531769801: ... l.p. = 101

94428772268291: ... l.p. = 101

5587621895329267: ... l.p. = 101

792423938062507527430649714259255216772926371811525455428211581: ... l.p. = 101

46006622624003587144520612100176336641: ... l.p. = 102

1031: ... l.p. = 103

37493: ... l.p. = 103

507243071: ... l.p. = 103

96306861556309936387593197402996201073146200561: ... l.p. = 103

519026385414723540853974413380365896722060122651956414117: ... l.p. = 103

786553: ... l.p. = 104

14685091347707873: ... l.p. = 104

24533935088352456090993589892052329: ... l.p. = 104

24596480723711374110433501: ... l.p. = 105

12340745958492257916284855626741: ... l.p. = 105

107: ... l.p. = 106

6618762113: ... l.p. = 106

80469189271: ... l.p. = 106

144923043227: ... l.p. = 106

1628505112656797934760689563: ... l.p. = 106

643: ... l.p. = 107

1499: ... l.p. = 107

194527: ... l.p. = 107

609913483: ... l.p. = 107

17221279121951: ... l.p. = 107

8296079506365811612150733: ... l.p. = 107

8238863910860240211186514584551: ... l.p. = 107

368612716550576240747224386242176921: ... l.p. = 107

284329009: ... l.p. = 108

2560392206677: ... l.p. = 108

3000251475702847870957: ... l.p. = 108

1091: ... l.p. = 109

13314787: ... l.p. = 109

12210400864955756334357543791: ... l.p. = 109

7214058133190348510797044416367276209047: ... l.p. = 109

8724703319150532263995205786459299524404002914049: ... l.p. = 109

331: ... l.p. = 110

3438685189501: ... l.p. = 110

58925748316711: ... l.p. = 110

1758543013624537801: ... l.p. = 110

9769: ... l.p. = 111

76736743: ... l.p. = 111

661198877270593946341: ... l.p. = 111

8985671723916697159306375206873223170546534131329363: ... l.p. = 111

2129: ... l.p. = 112

66529: ... l.p. = 112

198017: ... l.p. = 112

12515552561: ... l.p. = 112

1038405709913713: ... l.p. = 112

777453109529036081: ... l.p. = 112

367508084381203624767165304975303: ... l.p. = 113

1537861910551454633243525748690200935714296300623626089102209700603649882470566978076369406450205047: ... l.p. = 113

4561: ... l.p. = 114

611028193819: ... l.p. = 114

835726294918884968025848899: ... l.p. = 114

1151: ... l.p. = 115

53591: ... l.p. = 115

100511: ... l.p. = 115

2083752851: ... l.p. = 115

740265963181: ... l.p. = 115

4088280880261: ... l.p. = 115

42460920908092999453501: ... l.p. = 115

17616646658610304480313635124812321: ... l.p. = 115

233: ... l.p. = 116

1074277: ... l.p. = 116

281589769: ... l.p. = 116

1240581007181: ... l.p. = 116

8269331225814050337668692222063804849: ... l.p. = 116

2854567: ... l.p. = 117

4640221: ... l.p. = 117

3022689049104598084874946135455929: ... l.p. = 117

119115855554252461371000291571475371867: ... l.p. = 117

7907: ... l.p. = 118

565322071603278863: ... l.p. = 118

34273355136165018967113536849036352969191495671: ... l.p. = 118

239: ... l.p. = 119

953: ... l.p. = 119

54828245908127393269: ... l.p. = 119

6002089885168243417019997239237162279316530053752412376566490597702105104474079032397707: ... l.p. = 119

17761: ... l.p. = 120

2414458561: ... l.p. = 120

1006101271862820362016481: ... l.p. = 120

7019: ... l.p. = 121

60966770930329903: ... l.p. = 121

5627184418701839214950691388503744769436522116776893: ... l.p. = 121

973596293359690050660589564381789969621086099491919940801: ... l.p. = 121

234519435023: ... l.p. = 122

1805790344137304843: ... l.p. = 122

81395548488086772908775498506472824274649: ... l.p. = 122

1723: ... l.p. = 123

114557014359607: ... l.p. = 123

1296290182141167360809609737147: ... l.p. = 123

44612545556379601866218236511065863857423885983: ... l.p. = 123

20089: ... l.p. = 124

856469: ... l.p. = 124

18167443254760948901: ... l.p. = 124

117107805549292247865914823046429217019361: ... l.p. = 124

251: ... l.p. = 125

2718938036486102674173251: ... l.p. = 125

5957346676587042681973111523596421999420361763994295377295742004155127441032747687666014001: ... l.p. = 125

10137331: ... l.p. = 126

48675439: ... l.p. = 126

4427723399014411115015445589: ... l.p. = 126

17529557: ... l.p. = 127

64545260439067: ... l.p. = 127

53079103097574553063805568426775890805467515544031669724935811: ... l.p. = 127

274728041533756987002423480929571398686198870146733976446789519549: ... l.p. = 127

151553: ... l.p. = 128

70237697: ... l.p. = 128

17347644250739140028840698753: ... l.p. = 128

5040054997946379205834956885834881: ... l.p. = 128

1549: ... l.p. = 129

3109274247465857390281: ... l.p. = 129

119983296159419386406934525940047822661513129865720754215156469557046614269: ... l.p. = 129

1294671691: ... l.p. = 130

118991428865318211233461: ... l.p. = 130

1962154744388953230433591: ... l.p. = 130

8310543061: ... l.p. = 131

225909282151193: ... l.p. = 131

2672726277852351048400401941685857214023231112663546845790173: ... l.p. = 131...

...

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