Číselné soustavy/Soustava o základu 68

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Příslušnost: Kusurija

Neboli osmašedesátková 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. Připomínky jsou vítány - ale raději v diskusi. Tam může kdokoliv i přidávat dotazy či tipy na doplnění. Uvítám i obyčejný komentář kteréhokoliv "kolemjdoucího" o tom, zda je/není článek srozumitelný. 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(68) - 67(68).

Číselná řadaEditovat

* (hvězdičkou) jsou označena prvočísla, ** jsou označeny mocniny prvočísel

  • 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, 41*, 42, 43*, 44, 45, 46, 47*, 48, 49**, 50, 51, 52, 53*, 54, 55, 56, 57, 58, 59*, 60, 61*, 62, 63, 64**, 65, 66, 67*, 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, 01:41*, 01:42, 01:43, 01:44, 01:45*, 01:46, 01:47, 01:48, 01:49, 01:50, 01:51, 01:52, 01:53**, 01:54, 01:55, 01:56, 01:57**, 01:58, 01:59*, 01:60**, 01:61, 01:62, 01:63*, 01:64, 01:65, 01:66, 01:67, 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*, další členy řady viz tabulky...

Malá násobilkaEditovat

Malá násobilka osmašedesátkové 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 42 45 48 51 54 57 60
04 04 08 12 16 20 24 28 32 36 40 44 48 52 56 60 64 01:00 01:04 01:08 01:12
05 05 10 15 20 25 30 35 40 45 50 55 60 65 01:02 01:07 01:12 01:17 01:22 01:27 01:32
06 06 12 18 24 30 36 42 48 54 60 66 01:04 01:10 01:16 01:22 01:28 01:34 01:40 01:46 01:52
07 07 14 21 28 35 42 49 56 63 01:02 01:09 01:16 01:23 01:30 01:37 01:44 01:51 01:58 01:65 02:04
08 08 16 24 32 40 48 56 64 01:04 01:12 01:20 01:28 01:36 01:44 01:52 01:60 02:00 02:08 02:16 02:24
09 09 18 27 36 45 54 63 01:04 01:13 01:22 01:31 01:40 01:49 01:58 01:67 02:08 02:17 02:26 02:35 02:44
10 10 20 30 40 50 60 01:02 01:12 01:22 01:32 01:42 01:52 01:62 02:04 02:14 02:24 02:34 02:44 02:54 02:64
11 11 22 33 44 55 66 01:09 01:20 01:31 01:42 01:53 01:64 02:07 02:18 02:29 02:40 02:51 02:62 03:05 03:16
12 12 24 36 48 60 01:04 01:16 01:28 01:40 01:52 01:64 02:08 02:20 02:32 02:44 02:56 03:00 03:12 03:24 03:36
13 13 26 39 52 65 01:10 01:23 01:36 01:49 01:62 02:07 02:20 02:33 02:46 02:59 03:04 03:17 03:30 03:43 03:56
14 14 28 42 56 01:02 01:16 01:30 01:44 01:58 02:04 02:18 02:32 02:46 02:60 03:06 03:20 03:34 03:48 03:62 04:08
15 15 30 45 60 01:07 01:22 01:37 01:52 01:67 02:14 02:29 02:44 02:59 03:06 03:21 03:36 03:51 03:66 04:13 04:28
16 16 32 48 64 01:12 01:28 01:44 01:60 02:08 02:24 02:40 02:56 03:04 03:20 03:36 03:52 04:00 04:16 04:32 04:48
17 17 34 51 01:00 01:17 01:34 01:51 02:00 02:17 02:34 02:51 03:00 03:17 03:34 03:51 04:00 04:17 04:34 04:51 05:00
18 18 36 54 01:04 01:22 01:40 01:58 02:08 02:26 02:44 02:62 03:12 03:30 03:48 03:66 04:16 04:34 04:52 05:02 05:20
19 19 38 57 01:08 01:27 01:46 01:65 02:16 02:35 02:54 03:05 03:24 03:43 03:62 04:13 04:32 04:51 05:02 05:21 05:40
20 20 40 60 01:12 01:32 01:52 02:04 02:24 02:44 02:64 03:16 03:36 03:56 04:08 04:28 04:48 05:00 05:20 05:40 05:60
21 21 42 63 01:16 01:37 01:58 02:12 02:33 02:54 03:06 03:27 03:48 04:01 04:22 04:43 04:64 05:17 05:38 05:59 06:12
22 22 44 66 01:20 01:42 01:64 02:18 02:40 02:62 03:16 03:38 03:60 04:14 04:36 04:58 05:12 05:34 05:56 06:10 06:32
23 23 46 01:01 01:24 01:47 02:02 02:25 02:48 03:03 03:26 03:49 04:04 04:27 04:50 05:05 05:28 05:51 06:06 06:29 06:52
24 24 48 01:04 01:28 01:52 02:08 02:32 02:56 03:12 03:36 03:60 04:16 04:40 04:64 05:20 05:44 06:00 06:24 06:48 07:04
25 25 50 01:07 01:32 01:57 02:14 02:39 02:64 03:21 03:46 04:03 04:28 04:53 05:10 05:35 05:60 06:17 06:42 06:67 07:24
26 26 52 01:10 01:36 01:62 02:20 02:46 03:04 03:30 03:56 04:14 04:40 04:66 05:24 05:50 06:08 06:34 06:60 07:18 07:44
27 27 54 01:13 01:40 01:67 02:26 02:53 03:12 03:39 03:66 04:25 04:52 05:11 05:38 05:65 06:24 06:51 07:10 07:37 07:64
28 28 56 01:16 01:44 02:04 02:32 02:60 03:20 03:48 04:08 04:36 04:64 05:24 05:52 06:12 06:40 07:00 07:28 07:56 08:16
29 29 58 01:19 01:48 02:09 02:38 02:67 03:28 03:57 04:18 04:47 05:08 05:37 05:66 06:27 06:56 07:17 07:46 08:07 08:36
30 30 60 01:22 01:52 02:14 02:44 03:16 03:36 03:66 04:28 04:58 05:20 05:50 06:12 06:42 07:04 07:34 07:64 08:26 08:56
31 31 62 01:25 01:56 02:19 02:50 03:13 03:44 04:07 04:38 05:01 05:32 05:63 06:26 06:57 07:20 07:51 08:14 08:45 09:08
32 32 64 01:28 01:60 02:24 02:56 03:20 03:52 04:16 04:48 05:12 05:24 06:08 06:40 07:04 07:36 08:00 08:32 08:64 09:28
33 33 66 01:31 01:64 02:29 02:62 03:27 03:60 04:25 04:58 05:23 05:56 06:21 06:54 07:19 07:52 08:17 08:50 09:15 09:48
34 34 01:00 01:34 02:00 02:34 03:00 03:34 04:00 04:34 05:00 05:34 06:00 06:34 07:00 07:34 08:00 08:34 09:00 09:34 10:00
35 35 01:02 01:37 02:04 02:39 03:06 03:41 04:08 04:43 05:10 05:45 06:12 06:47 07:14 07:49 08:16 08:51 09:18 09:53 10:20
36 36 01:04 01:40 02:08 02:44 03:12 03:48 04:16 04:52 05:20 05:56 06:24 06:60 07:28 07:64 08:32 09:00 09:36 10:04 10:40
37 37 01:06 01:43 02:12 02:49 03:18 03:55 04:24 04:61 05:30 05:67 06:36 07:05 07:42 08:11 08:48 09:17 09:54 10:23 10:60
38 38 01:08 01:46 02:16 02:54 03:24 03:62 04:32 05:02 05:40 06:10 06:48 07:18 07:56 08:26 08:64 09:34 10:04 10:42 11:12
39 39 01:10 01:49 02:20 02:59 03:30 04:01 04:40 05:11 05:50 06:21 06:60 07:31 08:02 08:41 09:12 09:51 10:22 10:61 11:32
40 40 01:12 01:52 02:24 02:64 03:36 04:08 04:48 05:20 05:60 06:32 07:04 07:44 08:16 08:56 09:28 10:00 10:40 11:12 11:52
41 41 01:14 01:55 02:28 03:01 03:42 04:15 04:56 05:29 06:02 06:43 07:16 07:57 08:30 09:03 09:44 10:17 10:58 11:31 12:04
42 42 01:16 01:58 02:32 03:06 03:48 04:22 04:64 05:38 06:12 06:54 07:28 08:02 08:44 09:18 09:60 10:34 11:08 11:50 12:24
43 43 01:18 01:61 02:36 03:11 03:54 04:29 05:04 05:47 06:22 06:65 07:40 08:15 08:58 09:33 10:08 10:51 11:26 12:01 12:44
44 44 01:20 01:64 02:40 03:16 03:60 04:36 05:12 05:56 06:32 07:08 07:52 08:28 09:04 09:48 10:24 11:00 11:44 12:20 12:64
45 45 01:22 01:67 02:44 03:21 03:66 04:43 05:20 05:65 06:42 07:19 07:64 08:41 09:18 09:63 10:40 11:17 11:62 12:39 13:16
46 46 01:24 02:02 02:48 03:26 04:04 04:50 05:28 06:06 06:52 07:30 08:08 08:54 09:32 10:10 10:56 11:34 12:12 12:58 13:36
47 47 01:26 02:05 02:52 03:31 04:10 04:57 05:36 06:15 06:62 07:41 08:20 08:67 09:46 10:25 11:04 11:51 12:30 13:09 13:56
48 48 01:28 02:08 02:56 03:36 04:16 04:64 05:44 06:24 07:04 07:52 08:32 09:12 09:60 10:40 11:20 12:00 12:48 13:28 14:08
49 49 01:30 02:11 02:60 03:41 04:22 05:03 05:52 06:33 07:14 07:63 08:44 09:25 10:06 10:55 11:36 12:17 12:66 13:47 14:28
50 50 01:32 02:14 02:64 03:46 04:28 05:10 05:60 06:42 07:24 08:06 08:56 09:38 10:20 11:02 11:52 12:34 13:16 13:66 14:48
51 51 01:34 02:17 03:00 03:51 04:34 05:17 06:00 06:51 07:34 08:17 09:00 09:51 10:34 11:17 12:00 12:51 13:34 14:17 15:00
52 52 01:36 02:20 03:04 03:56 04:40 05:24 06:08 06:60 07:44 08:28 09:12 09:64 10:48 11:32 12:16 13:00 13:52 14:36 15:20
53 53 01:38 02:23 03:08 03:61 04:46 05:31 06:16 07:01 07:54 08:39 09:24 10:09 10:62 11:47 12:32 13:17 14:02 14:55 15:40
54 54 01:40 02:26 03:12 03:66 04:52 05:38 06:24 07:10 07:64 08:50 09:36 10:22 11:08 11:62 12:48 13:34 14:20 15:06 15:60
55 55 01:42 02:29 03:16 04:03 04:58 05:45 06:32 07:19 08:06 08:61 09:48 10:35 11:22 12:09 12:64 13:51 14:38 15:25 16:12
56 56 01:44 02:32 03:20 04:08 04:64 05:52 06:40 07:28 08:16 09:04 09:60 10:48 11:36 12:24 13:12 14:00 14:56 15:44 16:32
57 57 01:46 02:35 03:24 04:13 05:02 05:59 06:48 07:37 08:26 09:15 10:04 10:61 11:50 12:39 13:28 14:17 15:06 15:63 16:52
58 58 01:48 02:38 03:28 04:18 05:08 05:66 06:56 07:46 08:36 09:26 10:16 11:06 11:64 12:54 13:44 14:34 15:24 16:14 17:04
59 59 01:50 02:41 03:32 04:23 05:14 06:05 06:64 07:55 08:46 09:37 10:28 11:19 12:10 13:01 13:60 14:51 15:42 16:33 17:24
60 60 01:52 02:44 03:36 04:28 05:20 06:12 07:04 07:64 08:56 09:48 10:40 11:32 12:24 13:16 14:08 15:00 15:60 16:52 17:44
61 61 01:54 02:47 03:40 04:33 05:26 06:19 07:12 08:05 08:66 09:59 10:52 11:45 12:38 13:31 14:24 15:17 16:10 17:03 17:64
62 62 01:56 02:50 03:44 04:38 05:32 06:26 07:20 08:14 09:08 10:02 10:64 11:58 12:52 13:46 14:40 15:34 16:28 17:22 18:16
63 63 01:58 02:53 03:48 04:43 05:38 06:33 07:28 08:23 09:18 10:13 11:08 12:03 12:66 13:61 14:56 15:51 16:46 17:41 18:36
64 64 01:60 02:56 03:52 04:48 05:44 06:40 07:36 08:32 09:28 10:24 11:20 12:16 13:12 14:08 15:04 16:00 16:64 17:60 18:56
65 65 01:62 02:59 03:56 04:53 05:50 06:47 07:44 08:41 09:38 10:35 11:32 12:29 13:26 14:23 15:20 16:17 17:14 18:11 19:08
66 66 01:64 02:62 03:60 04:58 05:56 06:54 07:52 08:50 09:48 10:46 11:44 12:42 13:40 14:38 15:36 16:34 17:32 18:30 19:28
67 67 01:66 02:65 03:64 04:63 05:62 06:61 07:60 08:59 09:58 10:57 11:56 12:55 13:54 14:53 15:52 16:51 17:50 18:49 19:48
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 prvočíslaEditovat

Prvočísla, která se v osmašedesátkové soustavě skládají z p jedniček, kde p jsou tato: 5, 7, 107, 149, 2767, ...

Převrácené hodnoty prvočíselEditovat

l.p. - délka periody; pp=předperioda

2: 00,34:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

3: 00,22:45:22:45:22:45:22:45:22:45:22:45... l.p. = 2

4: 00,17:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

5: 00,13:40:54:27:13:40:54:27:13:40:54:27... l.p. = 4

25: 00,02:48:65:19:02:48:65:19:02:48:65:19... l.p. = 4

125: 00,00:36:67:31:00:36:67:31:00:36:67:31... l.p. = 4

6: 00,11:22:45:22:45:22:45:22:45:22:45:22:45... l.p. = 2+1pp

7: 00,09:48:38:58:19:29:09:48:38:58:19:29... l.p. = 6

8: 00,08:34:00:00:00:00:00:00:00:00:00:00... l.p. = 0+2pp

9: 00,07:37:52:60:30:15:07:37:52:60:30:15... l.p. = 6

10: 00,06:54:27:13:40:54:27:13:40:54:27:13:40... l.p. = 4+1pp

11: 00,06:12:24:49:30:61:55:43:18:37... l.p. = 10

13: 00,05:15:47:05:15:47:05:15:47:05:15:47... l.p. = 3

17: 00,04:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

19: 00,03:39:25:03:39:25:03:39:25:03:39:25... l.p. = 3

361: 00,00:12:55:00:12:55:00:12:55:00:12:55... l.p. = 3

23: 00,02:65:02:65:02:65:02:65:02:65:02:65... l.p. = 2

29: 00,02:23:30:32:56:18:51:39:58:42:14:04... l.p. = 28

31: 00,02:13:10:65:54:57:02:13:10:65:54:57... l.p. = 6

37: 00,01:56:66:11:01:56:66:11:01:56:66:11... l.p. = 4

41: 00,01:44:53:04:66:23:14:63:01:44:53:04:66:23:14:63... l.p. = 8

43: 00,01:39:36:25:20:37:64:56:63:17:26:60... l.p. = 21

47: 00,01:30:26:02:60:52:05:53:36:11:39:04... l.p. = 23

49: 00,01:26:24:66:41:43:01:26:24:66:41:43... l.p. = 6

51: 00,01:22:45:22:45:22:45:22:45:22:45:22:45... l.p. = 2+1pp

53: 00,01:19:16:46:12:56:30:53:60:20:35:62:59... l.p. = 13

59: 00,01:10:25:24:13:56:32:18:29:65:47:17... l.p. = 29

61: 00,01:07:54:42:24:35:45:47:63:36:53:34... l.p. = 60

67: 00,01:01:01:01:01:01:01:01:01:01:01:01... l.p. = 1

68: 00,01:00:00:00:00:00:00:00:00:00:00:00... l.p. = 0+1pp

69: 00,00:67:00:67:00:67:00:67:00:67:00:67... l.p. = 2

71: 00,00:65:08:42:09:39:18:13:27:52:45:66... l.p. = 70

73: 00,00:63:23:19:38:13:02:54:01:58:46:39... l.p. = 72

79: 00,00:58:36:10:22:25:55:64:37:59:26:46... l.p. = 78

83: 00,00:55:48:22:63:61:30:21:20:32:52:29... l.p. = 41

89: 00,00:51:64:64:12:15:19:06:59:40:33:42... l.p. = 44

97: 00,00:47:45:38:37:58:12:42:04:14:01:27... l.p. = 96

101: 00,00:45:53:12:53:58:39:03:24:61:63:65... l.p. = 25

103: 00,00:44:60:50:11:60:05:19:09:61:27:04... l.p. = 51

107: 00,00:43:14:41:64:12:48:20:22:59:50:13... l.p. = 106

109: 00,00:42:28:47:28:04:67:25:39:20:39:63... l.p. = 12

113: 00,00:40:62:39:48:50:37:21:04:14:30:06... l.p. = 112

...

Délky př.h. 5 - 49Editovat

21700501: ... l.p. = 5

...

100343116693: ... l.p. = 7

521497: ... l.p. = 8

127: ... l.p. = 9

778486591: ... l.p. = 9

1915591: ... l.p. = 10

661: ... l.p. = 11

3245800161914113: ... l.p. = 11

196117: ... l.p. = 12

1249: ... l.p. = 13

149865875282636033: ... l.p. = 13

103867: ... l.p. = 14

938071: ... l.p. = 14

9511: ... l.p. = 15

42451: ... l.p. = 15

1115641: ... l.p. = 15

881: ... l.p. = 16

518914006417: ... l.p. = 16

1973: ... l.p. = 17

309469: ... l.p. = 17

1240559x280036765431547: ... l.p. = 17

1567: ... l.p. = 18

2251: ... l.p. = 18

9343: ... l.p. = 18

457: ... l.p. = 19

85577: ... l.p. = 19

25079639001129379803320837: ... l.p. = 19

281: ... l.p. = 20

325312735621: ... l.p. = 20

138517681: ... l.p. = 21

1616964763303: ... l.p. = 21

222707: ... l.p. = 22

9354381575551: ... l.p. = 22

461: ... l.p. = 23

144066824449: ... l.p. = 23

785676091933: ... l.p. = 23

8551137403987: ... l.p. = 23

457163218272001: ... l.p. = 24 U

151: ... l.p. = 25

9001: ... l.p. = 25

32552861589861583012873353251: ... l.p. = 25

131: ... l.p. = 26

3237859: ... l.p. = 26

22711067408069: ... l.p. = 26

104704543: ... l.p. = 27

9229855526328703480451551: ... l.p. = 27

197: ... l.p. = 28

1106356357: ... l.p. = 28

1546157677: ... l.p. = 28

73838467: ... l.p. = 29

24549351499: ... l.p. = 29

19386926261201200901320899320783: ... l.p. = 29

53881: ... l.p. = 30

8609431021: ... l.p. = 30

11471: ... l.p. = 31

537913: ... l.p. = 31

18365307687689: ... l.p. = 31

84603818019630722604907140553819: ... l.p. = 31

257: ... l.p. = 32

3169: ... l.p. = 32

6337: ... l.p. = 32

9377: ... l.p. = 32

395873: ... l.p. = 32

10908969697: ... l.p. = 32

463: ... l.p. = 33

9509650025438586372881147237860723: ... l.p. = 33

409: ... l.p. = 34

719579327989: ... l.p. = 34

699842703076001: ... l.p. = 34

421: ... l.p. = 35

52291: ... l.p. = 35

479792461: ... l.p. = 35

8912865084003529044260092831: ... l.p. = 35

10369: ... l.p. = 36

20081377: ... l.p. = 36

46943621281: ... l.p. = 36

223: ... l.p. = 37

1183740408275366404843: ... l.p. = 37

3590819966641264182244925986441148230701409: ... l.p. = 37

229: ... l.p. = 38

92872386001607: ... l.p. = 38

44781451382825519: ... l.p. = 38

104519299: ... l.p. = 39

69285337295776460315516584529339323: ... l.p. = 39

3881: ... l.p. = 40

53851640792473959049962521: ... l.p. = 40

393184543229: ... l.p. = 41

621035018055075997718218296435668770700191920443721091872643: ... l.p. = 41

379: ... l.p. = 42

3738595675843551433: ... l.p. = 42

1721: ... l.p. = 43

9594290807: ... l.p. = 43

23913362989459389576431702738837: ... l.p. = 43

237341694755467674598872412697087: ... l.p. = 43

2170819557883901: ... l.p. = 44

23124407297633233549: ... l.p. = 44

5339751556535322211: ... l.p. = 45

17893342409585678706250891: ... l.p. = 45

445741: ... l.p. = 46

12757279453: ... l.p. = 46

155699570090968838487283: ... l.p. = 46

532420380710380271214511372540831: ... l.p. = 47

3763478357168161758498972399152299523133383317808203: ... l.p. = 47

7928257: ... l.p. = 48

8657041: ... l.p. = 48

3045056878967473: ... l.p. = 48

6469: ... l.p. = 49

130615408007813: ... l.p. = 49

3157297756049263: ... l.p. = 49

34612042650608329695372177734956447865656487: ... l.p. = 49

Délky př.h. 50 - 99Editovat

2381898376001: ... l.p. = 50

1876095861826993079544001: ... l.p. = 50

307: ... l.p. = 51

38149: ... l.p. = 51

284927339439915898819: ... l.p. = 51

125215933777925594454546009751: ... l.p. = 51

677: ... l.p. = 52

3797: ... l.p. = 52

138750041: ... l.p. = 52

267829004660231506119637284497: ... l.p. = 52

12774001194985638103: ... l.p. = 53

74603650264116948313: ... l.p. = 53

1325767646104433555787107: ... l.p. = 53

156798940738124874790621448634137: ... l.p. = 53

120907: ... l.p. = 54

2352313603: ... l.p. = 54

1132641600245808139: ... l.p. = 54

331: ... l.p. = 55

1780901: ... l.p. = 55

187731281: ... l.p. = 55

59392996949756250881: ... l.p. = 55

2993523992022395278473412055404602011: ... l.p. = 55

617: ... l.p. = 56

1145565031404704513: ... l.p. = 56

135178919999357237393881: ... l.p. = 56

7535817682777: ... l.p. = 57

6426938510442141408764339180191398531872591451652423: ... l.p. = 57

15661: ... l.p. = 58

91757: ... l.p. = 58

306249709725017: ... l.p. = 58

4574830381550807762173926989: ... l.p. = 58

12391: ... l.p. = 59

100183: ... l.p. = 59

4858445723947: ... l.p. = 59

69779491011911: ... l.p. = 59

761847181612286497877: ... l.p. = 59

90747747081632446990601: ... l.p. = 59

673165402987632862622184509: ... l.p. = 59

181: ... l.p. = 60

2341: ... l.p. = 60

8087730875296750515421: ... l.p. = 60

1606582845287075553706929519320297: ... l.p. = 61

56372299032552493931272421326112280253868668433728382982699478009053023389133: ... l.p. = 61

311: ... l.p. = 62

13331: ... l.p. = 62

2245453602407358901426923710490370639221775585177: ... l.p. = 62

103573: ... l.p. = 63

2698663087: ... l.p. = 63

185255507557: ... l.p. = 63

18036535607574232295421470678726180499607: ... l.p. = 63

193: ... l.p. = 64

39878593: ... l.p. = 64

52508646185194976897: ... l.p. = 64

108082964834366664873459710209: ... l.p. = 64

8994845336544023765334125097682352908353972360492128645366446593771260964243795658093501: ... l.p. = 65 U

17623: ... l.p. = 66

9146508645979: ... l.p. = 66

28130785583326229497: ... l.p. = 66

2939291: ... l.p. = 67

1048921527777202484633: ... l.p. = 67

43347291089430341532670895054216370640742130132393761663908048001025416782525738847564186893: ... l.p. = 67

137: ... l.p. = 68

2648899093903356371681: ... l.p. = 68

120338699291033000757958266602450761: ... l.p. = 68

967: ... l.p. = 69

14506321593191430105031: ... l.p. = 69

29989944014007756625653383091360807094727915303593357837: ... l.p. = 69

211: ... l.p. = 70

911: ... l.p. = 70

4201: ... l.p. = 70

27768161: ... l.p. = 70

60896888265638665259226551: ... l.p. = 70

9941: ... l.p. = 71

604316501: ... l.p. = 71

4696314313: ... l.p. = 71

24767407991779181: ... l.p. = 71

223923181688249161: ... l.p. = 71

1223564033847746698812428178821694923473812334401837827291003342028623681: ... l.p. = 71

119737: ... l.p. = 72

10931069915988650155814286682621915201: ... l.p. = 72

2696360267: ... l.p. = 73

328320428581117814714630357545199431004533611910015982790707804277956433147153692941842224206376869349426550919836488467103: ... l.p. = 73

149: ... l.p. = 74

11531791: ... l.p. = 74

535670399275522732013983225790057517432301401909562334039: ... l.p. = 74

2196365851: ... l.p. = 75

12979039996159474467179701: ... l.p. = 75

700501798253398707432759107592065206951: ... l.p. = 75

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