10th
Power |
Euler
length |
Euler
representation |
4 |
199 |
(15x3,159x2,25x1) |
5 |
188 |
(9x4,4x3,90x2,85x1) |
6 |
144 |
(4x5,20x4,6x3,76x2,38x1) |
7 |
122 |
(27x5,17x4,16x3,32x2,30x1) |
8 |
89 |
(7,11x6,8x5,45x4,14x3,2,9x1) |
9 |
56 |
(8,8,7,7,9x6,23x5,5x4,5x3,7x2,1,1,1) |
10 |
56 |
(9,4x8,7x7,3x6,4x5,19x4,9x3,6x2,1,1,1) |
11 |
44 |
(6x9,4x8,7,6x6,6x5,17x4,3,1,1,1) |
12 |
34 |
(3x10,8x9,8,8,6x7,6,6,6x5,4,3,3,3,2,2,1) |
13 |
46 |
(12,11,4x10,9x8,5x6,3x5,8x4,10x2,5x1) |
14 |
39 |
(12,12,5x11,8x9,7x8,5x6,5,5,8x3,2,1) |
15 |
23
* |
(14,13,12,12,10,9,9,9,9,7,7,7,7,7,7,6,3,2,1,1,1,1,1) |
16 |
34 |
(15,14,12,12,12,13x9,8,7,7,7,7,7,5,5,5,5,4,3,2,2,2,2) |
17 |
34 |
(14,14,13,13,13,16x12,10,10,10,8,8,8,5,3,3,3,3,3,2) |
18 |
34 |
(16,15,4x14,3x13,5x12,10,9,7,7,7x5,4,4,4,4,2,2,2,1,1) |
19 |
33 |
(18,15,15,14,14,9x12,10x11,10,8,8,5,4,3,3,1,1) |
20 |
34 |
(18,18,17,15,14,13,12,9,9,9,9,8,6x7,11x6,5,3,3,2,2) |
21 |
23 |
(19,18,18,17,15,15,13,12,10,10,9,9,9,9,9,8,7,5,5,3,1,1,1) |
22 |
33 |
(19,19,18,5x17,14,13,13,12,10,10,7x6,4x5,4,4,3,3,2,2,2,1) |
23 |
32 |
(22,19,19,16,15,14,13,13,13,8x11,10,9,8,8,8x7,6,5,3) |
24 |
34 |
(3x20,8x18,16,16,6x14,12,12,6x10,8,6,6,6,4,4,2) |
25 |
26 |
(22,21,21,20,3x19,3x17,15,13,11,11,6,6,6,4,4x3,2,2,2,1) |
26 |
24 |
(23,23,3x21,3x17,16,16,11,7,7,7,7,7,6,5,4,4,4,4,4,3) |
27 |
23 |
(24,3x23,20,19,16,14,14,13,10,9,9,8,8,8,8,4,4,4,3,3,2) |
28 |
24 |
(26,23,23,21,21,3x20,4x17,11,9,9,3,2,2,2,2,1,1,1,1) |
29 |
24 |
(26,25,25,22,3x21,19,3x17,10,9,9,9,9,8,8,7,7,4,3,2,1) |
30 |
23 |
(28,26,24,24,20,4x18,6x14,12,6,4,2,2,2,2,2) |
31 |
24 |
(28,27,26,26,3x20,18,15,14,11,9,9,9,9,9,8,8,8,8,8,8,5,4) |
32 |
24 |
(30,27,26,26,22,20,18,18,17,15,15,12,10,8,8,7,6,5,4,4x4,1) |
33 |
22
* |
(30,30,26,26,23,21,19,18,13,13,12,12,5x10,9,9,7,6,3) |
34 |
23 |
(31,30,27,3x26,20,19,17,17,3x16,15,15,10,8,8,5,4,2,2,2) |
35 |
23 |
(32,30,28,28,26,26,25,23,21,19,19,15,14,14,3x13,12,12,8,6,6,4) |
36 |
23 |
(32,30,29,28,28,5x26,25,25,21,20,17,16,12,6,6,3,3,3,2) |
37 |
23 |
(36,28,28,26,3x25,24,24,18,17,14,12,10,9,9,8,7,7,4,2,2,1) |
38 |
23 |
(37,30,29,26,25,25,24,23,19,4x18,16,12,12,12,6,6,6,5,4,3) |
39 |
23 |
(38,30,29,27,27,26,25,3x24,20,16,15,14,4x12,10,9,9,5,3) |
40 |
23 |
(39,32,28,28,3x26,3x24,19,18,18,12,10,9,8,7,7,4,3,3,1) |
41 |
23 |
(40,34,29,27,27,21,21,19,3x13,12,12,9,7,5,5,5,5,5,4,4,1) |
42 |
23 |
(41,35,28,3x26,25,24,21,16,16,15,15,14,13,12,8,7,2,2,2,2,2) |
43 |
17
* |
(41,37,31,31,31,30,27,22,22,22,22,21,17,11,10,8,6) |
44 |
22 |
(43,36,30,30,28,26,25,3x24,20,20,18,3x15,10,9,9,8,7,2) |
45 |
23 |
(43,38,37,31,25,25,5x24,21,18,18,16,5x10,3,3,3) |
46 |
23 |
(45,37,34,30,29,28,25,24,20,4x18,17,3x16,15,2x14,6,5,3) |
47 |
23 |
(46,37,36,2x30,27,2x25,24,23,2x20,3x18,10,9,8,6,3x5,4) |
48 |
23 |
(47,40,2x30,28,3x25,24,3x18,2x16,15,7,6,5,2x4,2x2,1) |
49 |
23 |
(48,41,2x30,26,25,20,19,2x18,3x16,13,12,2x10,4x5,4,3) |
50 |
23 |
(49,41,36,2x27,26,2x25,2x20,19,4x18,2x14,10,7,2x4,2x2) |
51 |
23 |
(50,39,38,36,32,30,29,3x28,27,24,20,18,17,2x14,3x9,6,5,3) |
52 |
23 |
(51,42,39,2x26,19,16,3x15,2x14,13,12,9,5x7,5,2x3) |
53 |
23 |
(52,42,38,37,32,31,27,19,17,5x16,2x13,3x10,7,2x6,5) |
54 |
23 |
(53,45,29,4x28,26,2x24,20,19,17,2x16,14,12,10,9,8,5,2,1) |
55 |
22 |
(54,45,37,34,32,28,2x23,2x21,2x14,2x12,4x10,5,2,2x1) |
56 |
23 |
(54,47,43,39,37,5x31,29,28,2x27,23,4x20,18,15,9,5) |
57 |
22 |
(53,50,49,5x33,32,31,2x23,19,18,16,13,5x11,6) |
58 |
23 |
(57,47,39,38,32,27,26,2x25,2x23,19,14,13,2x10,8,3,5x1) |
59 |
23 |
(58,48,38,2x34,2x32,3x31,26,25,2x20,19,18,17,16,2x7,2x6,5) |
60 |
23 |
(59,48,43,38,28,26,2x25,24,2x21,2x17,2x15,13,12,9,5,2,3x1) |
61 |
23 |
(60,50,38,35,29,4x28,2x25,3x24,16,15,2x10,2x9,2x5,2) |
62 |
23 |
(61,50,41,2x37,35,2x31,29,28,24,23,2x21,2x18,2x13,12,3,2,2x1) |
63 |
23 |
(62,51,40,38,37,36,30,28,27,26,25,21,20,17,16,15,12,8,6,5,4,2,1) |
64 |
23 |
(63,52,43,31,3x28,24,21,2x20,2x19,18,5x10,4x4,2x2,1) |
65 |
20 |
(4x55,53,51,2x42,36,31,28,26,3x22,20,14,11,10,1) |
66 |
22 |
(65,53,45,39,34,5x29,2x28,27,20,18,2x17,4x5,4) |
67 |
23 |
(65,58,43,39,2x38,34,31,29,2x24,20,18,2x17,16,14,13,12,6,4,3,2) |
68 |
20 |
(62,4x55,51,49,44,41,39,2x37,2x33,32,23,11,10,7,1) |
69 |
23 |
(68,56,39,2x38,37,32,31,2x30,28,2x21,17,16,4x14,4,3x3) |
70 |
19 |
(2x62,58,55,54,2x47,46,3x44,42,37,25,22,2x11,10,9) |
71 |
19 |
(66,62,56,55,54,48,40,3x33,2x24,23,14,2x11,7,4,3) |
72 |
23 |
(71,58,47,37,28,24,23,2x21,2x19,7x15,12,2x10,8,5) |
73 |
23 |
(72,59,45,2x36,3x28,27,2x24,21,15,3x14,3x13,12,2x2,1) |
74 |
23 |
(73,60,43,23,2x21,2x19,18,2x14,2x12,9,2x7,6,5,2x3,3x1) |
75 |
17 |
(2x66,65,63,2x49,2x33,29,28,24,23,18,12,11,4,2) |
76 |
22 |
(67,66,65,61,59,54,52,3x44,42,40,33,31,3x22,18,12,2x11,10) |
77 |
22 |
(76,62,47,37,2x28,2x25,4x24,23,19,13,2x10,7,2x6,5,2) |
78 |
22 |
(70,67,62,4x59,3x55,44,39,6x33,19,14,10,2) |
79 |
19 |
(74,67,66,63,49,3x44,2x35,2x30,23,2x22,18,13,11,9) |
80 |
23 |
(79,64,50,42,3x29,4x23,3x21,3x17,14,2x5,4,2x2) |
81 |
23 |
(80,65,47,40,2x36,34,31,25,18,16,15,14,2x13,7,2x6,4,3,2x2) |
82 |
21 |
(75,70,2x66,61,60,59,54,47,45,42,39,23,6x22,14,11) |
83 |
23 |
(82,65,57,46,41,36,32,3x30,28,2x25,23,17,2x16,15,14,10,9,2x2) |
84 |
|
|
85 |
|
|
86 |
17 |
(82,74,3x62,60,54,4x44,42,34,22,20,16,12)
= 2x43 |
87 |
|
|
88 |
|
|
89 |
|
|
90 |
17 |
(85,77,,2x72,53,50,48,44,2x30,24,3x11,10,9,3) |
91 |
|
|
92 |
17 |
(88,82,63,59,55,48,44,33,31,25,22,18,2x16,2x15,6) |
93 |
16* |
(88,81,73,67,66,59,51,45,42,40,39,33,26,23,22,20) |
94 |
|
|
95 |
|
|
96 |
|
|
97 |
|
|
98 |
|
|
99 |
|
|
100 |
17 |
(98,78,75,2x55,46,44,37,30,23,22,20,11,2x9,6) |