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[原创] 连分数的难题

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发表于 2019-9-19 21:22:40 | 显示全部楼层 |阅读模式

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如图,不限制自然数范围,求出所有解(集合,不排序)的个数。

6个连分数之和

6个连分数之和
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2019-9-20 12:52:08 | 显示全部楼层
如果是6个不同的,没记错第一个一定是1/2
然后剩下的搜就是了
坛子里有搜的方法与理论

如果约定前面的分母比后面的小,那么,当前面k个分母给定之后,后面的分数之和的上界也就给定了
我们可以借助这个上界划定搜索范围

然后剩下的就是搜了
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2019-9-20 13:08:07 | 显示全部楼层
不是连分数,这个叫埃及分数
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2019-9-20 13:30:18 | 显示全部楼层
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2019-9-20 15:28:12 | 显示全部楼层
计算结果好像2320组解
比如有
1/2 +1/3 +1/7 +1/43 +1/1807 +1/3263442
1/2 +1/3 +1/7 +1/43 +1/1808 +1/1632624
1/2 +1/3 +1/7 +1/43 +1/1809 +1/1089018
1/2 +1/3 +1/7 +1/43 +1/1810 +1/817215
1/2 +1/3 +1/7 +1/43 +1/1812 +1/545412
1/2 +1/3 +1/7 +1/43 +1/1813 +1/467754
1/2 +1/3 +1/7 +1/43 +1/1815 +1/364210
1/2 +1/3 +1/7 +1/43 +1/1818 +1/273609
1/2 +1/3 +1/7 +1/43 +1/1820 +1/234780
1/2 +1/3 +1/7 +1/43 +1/1824 +1/183008
1/2 +1/3 +1/7 +1/43 +1/1827 +1/157122
1/2 +1/3 +1/7 +1/43 +1/1834 +1/118293
1/2 +1/3 +1/7 +1/43 +1/1842 +1/92407
...
1/3 +1/4 +1/5 +1/9 +1/18 +1/20
1/3 +1/4 +1/5 +1/10 +1/12 +1/30
1/3 +1/4 +1/5 +1/10 +1/15 +1/20
1/3 +1/4 +1/6 +1/7 +1/10 +1/140
1/3 +1/4 +1/6 +1/7 +1/12 +1/42
1/3 +1/4 +1/6 +1/7 +1/14 +1/28
1/3 +1/4 +1/6 +1/8 +1/9 +1/72
1/3 +1/4 +1/6 +1/8 +1/10 +1/40
1/3 +1/4 +1/6 +1/8 +1/12 +1/24
1/3 +1/4 +1/6 +1/9 +1/12 +1/18
1/3 +1/4 +1/6 +1/10 +1/12 +1/15
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2019-9-20 16:01:27 | 显示全部楼层
mathe 发表于 2019-9-20 15:28
计算结果好像2320组解
比如有
1/2 +1/3 +1/7 +1/43 +1/1807 +1/3263442

2320是对的。MMA验证过。你的程序能否发下看看?
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2019-9-20 19:56:14 | 显示全部楼层
{{2, 3, 7, 43, 1807, 3263442}, {2, 3, 7, 43, 1808, 1632624}, {2, 3, 7,
    43, 1809, 1089018}, {2, 3, 7, 43, 1810, 817215}, {2, 3, 7, 43,
   1812, 545412}, {2, 3, 7, 43, 1813, 467754}, {2, 3, 7, 43, 1815,
   364210}, {2, 3, 7, 43, 1818, 273609}, {2, 3, 7, 43, 1820,
   234780}, {2, 3, 7, 43, 1824, 183008}, {2, 3, 7, 43, 1827,
   157122}, {2, 3, 7, 43, 1834, 118293}, {2, 3, 7, 43, 1842,
   92407}, {2, 3, 7, 43, 1848, 79464}, {2, 3, 7, 43, 1849, 77658}, {2,
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   1890, 40635}, {2, 3, 7, 43, 1892, 39732}, {2, 3, 7, 43, 1904,
   35088}, {2, 3, 7, 43, 1932, 27692}, {2, 3, 7, 43, 1935, 27090}, {2,
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   14448}, {2, 3, 7, 43, 2100, 12900}, {2, 3, 7, 43, 2107, 12642}, {2,
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   639, 44730}, {2, 3, 7, 45, 640, 40320}, {2, 3, 7, 45, 642,
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   651, 19530}, {2, 3, 7, 45, 655, 16506}, {2, 3, 7, 45, 657,
   15330}, {2, 3, 7, 45, 658, 14805}, {2, 3, 7, 45, 660, 13860}, {2,
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   672, 10080}, {2, 3, 7, 45, 675, 9450}, {2, 3, 7, 45, 679,
   8730}, {2, 3, 7, 45, 680, 8568}, {2, 3, 7, 45, 684, 7980}, {2, 3,
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   6300}, {2, 3, 7, 45, 705, 5922}, {2, 3, 7, 45, 711, 5530}, {2, 3,
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   2898}, {2, 3, 7, 45, 810, 2835}, {2, 3, 7, 45, 819, 2730}, {2, 3,
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   2394}, {2, 3, 7, 45, 875, 2250}, {2, 3, 7, 45, 882, 2205}, {2, 3,
   7, 45, 900, 2100}, {2, 3, 7, 45, 924, 1980}, {2, 3, 7, 45, 930,
   1953}, {2, 3, 7, 45, 945, 1890}, {2, 3, 7, 45, 954, 1855}, {2, 3,
   7, 45, 980, 1764}, {2, 3, 7, 45, 1008, 1680}, {2, 3, 7, 45, 1035,
   1610}, {2, 3, 7, 45, 1050, 1575}, {2, 3, 7, 45, 1071, 1530}, {2, 3,
    7, 45, 1080, 1512}, {2, 3, 7, 45, 1120, 1440}, {2, 3, 7, 45, 1155,
    1386}, {2, 3, 7, 45, 1170, 1365}, {2, 3, 7, 45, 1197, 1330}, {2,
   3, 7, 45, 1218, 1305}, {2, 3, 7, 46, 484, 233772}, {2, 3, 7, 46,
   486, 78246}, {2, 3, 7, 46, 490, 33810}, {2, 3, 7, 46, 492,
   26404}, {2, 3, 7, 46, 504, 11592}, {2, 3, 7, 46, 506, 10626}, {2,
   3, 7, 46, 532, 5244}, {2, 3, 7, 46, 546, 4186}, {2, 3, 7, 46, 552,
   3864}, {2, 3, 7, 46, 630, 2070}, {2, 3, 7, 46, 644, 1932}, {2, 3,
   7, 46, 690, 1610}, {2, 3, 7, 46, 924, 1012}, {2, 3, 7, 47, 395,
   779730}, {2, 3, 7, 47, 396, 130284}, {2, 3, 7, 47, 399, 37506}, {2,
    3, 7, 47, 402, 22043}, {2, 3, 7, 47, 420, 6580}, {2, 3, 7, 47,
   423, 5922}, {2, 3, 7, 47, 434, 4371}, {2, 3, 7, 47, 483, 2162}, {2,
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   113232}, {2, 3, 7, 48, 338, 56784}, {2, 3, 7, 48, 339, 37968}, {2,
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   343, 16464}, {2, 3, 7, 48, 344, 14448}, {2, 3, 7, 48, 345,
   12880}, {2, 3, 7, 48, 348, 9744}, {2, 3, 7, 48, 350, 8400}, {2, 3,
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   7, 48, 392, 2352}, {2, 3, 7, 48, 399, 2128}, {2, 3, 7, 48, 400,
   2100}, {2, 3, 7, 48, 408, 1904}, {2, 3, 7, 48, 420, 1680}, {2, 3,
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    26, 65, 78}, {2, 3, 10, 27, 34, 4590}, {2, 3, 10, 27, 35,
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   12324}, {2, 3, 12, 13, 159, 8268}, {2, 3, 12, 13, 160, 6240}, {2,
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   272}, {2, 3, 12, 17, 51, 204}, {2, 3, 12, 17, 68, 102}, {2, 3, 12,
   18, 37, 1332}, {2, 3, 12, 18, 38, 684}, {2, 3, 12, 18, 39,
   468}, {2, 3, 12, 18, 40, 360}, {2, 3, 12, 18, 42, 252}, {2, 3, 12,
   18, 44, 198}, {2, 3, 12, 18, 45, 180}, {2, 3, 12, 18, 48, 144}, {2,
    3, 12, 18, 52, 117}, {2, 3, 12, 18, 54, 108}, {2, 3, 12, 18, 60,
   90}, {2, 3, 12, 18, 63, 84}, {2, 3, 12, 19, 33, 2508}, {2, 3, 12,
   19, 36, 342}, {2, 3, 12, 19, 38, 228}, {2, 3, 12, 19, 57, 76}, {2,
   3, 12, 20, 31, 930}, {2, 3, 12, 20, 32, 480}, {2, 3, 12, 20, 33,
   330}, {2, 3, 12, 20, 34, 255}, {2, 3, 12, 20, 35, 210}, {2, 3, 12,
   20, 36, 180}, {2, 3, 12, 20, 39, 130}, {2, 3, 12, 20, 40, 120}, {2,
    3, 12, 20, 42, 105}, {2, 3, 12, 20, 45, 90}, {2, 3, 12, 20, 48,
   80}, {2, 3, 12, 20, 50, 75}, {2, 3, 12, 20, 55, 66}, {2, 3, 12, 21,
    29, 812}, {2, 3, 12, 21, 30, 420}, {2, 3, 12, 21, 32, 224}, {2, 3,
    12, 21, 35, 140}, {2, 3, 12, 21, 36, 126}, {2, 3, 12, 21, 42,
   84}, {2, 3, 12, 21, 44, 77}, {2, 3, 12, 22, 27, 1188}, {2, 3, 12,
   22, 28, 462}, {2, 3, 12, 22, 30, 220}, {2, 3, 12, 22, 33, 132}, {2,
    3, 12, 22, 36, 99}, {2, 3, 12, 22, 44, 66}, {2, 3, 12, 24, 25,
   600}, {2, 3, 12, 24, 26, 312}, {2, 3, 12, 24, 27, 216}, {2, 3, 12,
   24, 28, 168}, {2, 3, 12, 24, 30, 120}, {2, 3, 12, 24, 32, 96}, {2,
   3, 12, 24, 33, 88}, {2, 3, 12, 24, 36, 72}, {2, 3, 12, 24, 40,
   60}, {2, 3, 12, 24, 42, 56}, {2, 3, 12, 25, 30, 100}, {2, 3, 12,
   26, 39, 52}, {2, 3, 12, 27, 36, 54}, {2, 3, 12, 28, 30, 70}, {2, 3,
    12, 30, 36, 45}, {2, 3, 13, 14, 56, 2184}, {2, 3, 13, 14, 78,
   182}, {2, 3, 13, 14, 84, 156}, {2, 3, 13, 15, 44, 2860}, {2, 3, 13,
    15, 45, 1170}, {2, 3, 13, 15, 50, 325}, {2, 3, 13, 15, 52,
   260}, {2, 3, 13, 15, 60, 156}, {2, 3, 13, 15, 65, 130}, {2, 3, 13,
   16, 39, 624}, {2, 3, 13, 16, 48, 156}, {2, 3, 13, 17, 34, 663}, {2,
    3, 13, 18, 30, 1170}, {2, 3, 13, 18, 36, 156}, {2, 3, 13, 18, 39,
   117}, {2, 3, 13, 19, 27, 13338}, {2, 3, 13, 20, 26, 780}, {2, 3,
   13, 20, 30, 156}, {2, 3, 13, 21, 24, 2184}, {2, 3, 13, 21, 26,
   273}, {2, 3, 13, 21, 28, 156}, {2, 3, 13, 24, 26, 104}, {2, 3, 14,
   15, 36, 1260}, {2, 3, 14, 15, 40, 280}, {2, 3, 14, 15, 42,
   210}, {2, 3, 14, 15, 60, 84}, {2, 3, 14, 16, 32, 672}, {2, 3, 14,
   16, 35, 240}, {2, 3, 14, 16, 42, 112}, {2, 3, 14, 16, 48, 84}, {2,
   3, 14, 17, 28, 1428}, {2, 3, 14, 18, 26, 819}, {2, 3, 14, 18, 27,
   378}, {2, 3, 14, 18, 28, 252}, {2, 3, 14, 18, 35, 90}, {2, 3, 14,
   18, 36, 84}, {2, 3, 14, 18, 42, 63}, {2, 3, 14, 19, 24, 1064}, {2,
   3, 14, 20, 24, 280}, {2, 3, 14, 20, 28, 105}, {2, 3, 14, 20, 30,
   84}, {2, 3, 14, 20, 35, 60}, {2, 3, 14, 21, 22, 462}, {2, 3, 14,
   21, 24, 168}, {2, 3, 14, 21, 28, 84}, {2, 3, 14, 21, 30, 70}, {2,
   3, 14, 24, 28, 56}, {2, 3, 14, 24, 35, 40}, {2, 3, 15, 16, 27,
   2160}, {2, 3, 15, 16, 28, 560}, {2, 3, 15, 16, 30, 240}, {2, 3, 15,
    16, 32, 160}, {2, 3, 15, 16, 35, 112}, {2, 3, 15, 16, 40, 80}, {2,
    3, 15, 16, 48, 60}, {2, 3, 15, 17, 25, 850}, {2, 3, 15, 17, 34,
   85}, {2, 3, 15, 18, 23, 1035}, {2, 3, 15, 18, 24, 360}, {2, 3, 15,
   18, 25, 225}, {2, 3, 15, 18, 27, 135}, {2, 3, 15, 18, 30, 90}, {2,
   3, 15, 18, 35, 63}, {2, 3, 15, 18, 36, 60}, {2, 3, 15, 20, 21,
   420}, {2, 3, 15, 20, 22, 220}, {2, 3, 15, 20, 24, 120}, {2, 3, 15,
   20, 25, 100}, {2, 3, 15, 20, 28, 70}, {2, 3, 15, 20, 30, 60}, {2,
   3, 15, 20, 36, 45}, {2, 3, 15, 21, 28, 60}, {2, 3, 15, 21, 35,
   42}, {2, 3, 15, 24, 30, 40}, {2, 3, 16, 17, 24, 272}, {2, 3, 16,
   18, 21, 1008}, {2, 3, 16, 18, 24, 144}, {2, 3, 16, 18, 36, 48}, {2,
    3, 16, 20, 24, 80}, {2, 3, 16, 20, 30, 48}, {2, 3, 16, 21, 28,
   48}, {2, 3, 18, 20, 30, 36}, {2, 3, 18, 21, 28, 36}, {2, 3, 20, 21,
    28, 30}}

1591个解。

{{2, 4, 5, 21, 421, 176820}, {2, 4, 5, 21, 422, 88620}, {2, 4, 5, 21,
   423, 59220}, {2, 4, 5, 21, 424, 44520}, {2, 4, 5, 21, 425,
   35700}, {2, 4, 5, 21, 426, 29820}, {2, 4, 5, 21, 427, 25620}, {2,
   4, 5, 21, 428, 22470}, {2, 4, 5, 21, 429, 20020}, {2, 4, 5, 21,
   430, 18060}, {2, 4, 5, 21, 432, 15120}, {2, 4, 5, 21, 434,
   13020}, {2, 4, 5, 21, 435, 12180}, {2, 4, 5, 21, 436, 11445}, {2,
   4, 5, 21, 438, 10220}, {2, 4, 5, 21, 440, 9240}, {2, 4, 5, 21, 441,
    8820}, {2, 4, 5, 21, 444, 7770}, {2, 4, 5, 21, 445, 7476}, {2, 4,
   5, 21, 448, 6720}, {2, 4, 5, 21, 450, 6300}, {2, 4, 5, 21, 455,
   5460}, {2, 4, 5, 21, 456, 5320}, {2, 4, 5, 21, 460, 4830}, {2, 4,
   5, 21, 462, 4620}, {2, 4, 5, 21, 465, 4340}, {2, 4, 5, 21, 468,
   4095}, {2, 4, 5, 21, 469, 4020}, {2, 4, 5, 21, 470, 3948}, {2, 4,
   5, 21, 476, 3570}, {2, 4, 5, 21, 480, 3360}, {2, 4, 5, 21, 483,
   3220}, {2, 4, 5, 21, 490, 2940}, {2, 4, 5, 21, 492, 2870}, {2, 4,
   5, 21, 495, 2772}, {2, 4, 5, 21, 500, 2625}, {2, 4, 5, 21, 504,
   2520}, {2, 4, 5, 21, 510, 2380}, {2, 4, 5, 21, 518, 2220}, {2, 4,
   5, 21, 520, 2184}, {2, 4, 5, 21, 525, 2100}, {2, 4, 5, 21, 532,
   1995}, {2, 4, 5, 21, 540, 1890}, {2, 4, 5, 21, 546, 1820}, {2, 4,
   5, 21, 560, 1680}, {2, 4, 5, 21, 564, 1645}, {2, 4, 5, 21, 567,
   1620}, {2, 4, 5, 21, 570, 1596}, {2, 4, 5, 21, 588, 1470}, {2, 4,
   5, 21, 595, 1428}, {2, 4, 5, 21, 600, 1400}, {2, 4, 5, 21, 616,
   1320}, {2, 4, 5, 21, 620, 1302}, {2, 4, 5, 21, 630, 1260}, {2, 4,
   5, 21, 645, 1204}, {2, 4, 5, 21, 660, 1155}, {2, 4, 5, 21, 665,
   1140}, {2, 4, 5, 21, 672, 1120}, {2, 4, 5, 21, 700, 1050}, {2, 4,
   5, 21, 714, 1020}, {2, 4, 5, 21, 720, 1008}, {2, 4, 5, 21, 735,
   980}, {2, 4, 5, 21, 756, 945}, {2, 4, 5, 21, 770, 924}, {2, 4, 5,
   21, 780, 910}, {2, 4, 5, 21, 812, 870}, {2, 4, 5, 21, 820,
   861}, {2, 4, 5, 22, 221, 48620}, {2, 4, 5, 22, 222, 24420}, {2, 4,
   5, 22, 224, 12320}, {2, 4, 5, 22, 225, 9900}, {2, 4, 5, 22, 228,
   6270}, {2, 4, 5, 22, 230, 5060}, {2, 4, 5, 22, 231, 4620}, {2, 4,
   5, 22, 236, 3245}, {2, 4, 5, 22, 240, 2640}, {2, 4, 5, 22, 242,
   2420}, {2, 4, 5, 22, 245, 2156}, {2, 4, 5, 22, 260, 1430}, {2, 4,
   5, 22, 264, 1320}, {2, 4, 5, 22, 270, 1188}, {2, 4, 5, 22, 275,
   1100}, {2, 4, 5, 22, 300, 825}, {2, 4, 5, 22, 308, 770}, {2, 4, 5,
   22, 320, 704}, {2, 4, 5, 22, 330, 660}, {2, 4, 5, 22, 341,
   620}, {2, 4, 5, 22, 396, 495}, {2, 4, 5, 22, 420, 462}, {2, 4, 5,
   23, 154, 35420}, {2, 4, 5, 23, 155, 14260}, {2, 4, 5, 23, 156,
   8970}, {2, 4, 5, 23, 160, 3680}, {2, 4, 5, 23, 161, 3220}, {2, 4,
   5, 23, 170, 1564}, {2, 4, 5, 23, 180, 1035}, {2, 4, 5, 23, 184,
   920}, {2, 4, 5, 23, 220, 506}, {2, 4, 5, 23, 230, 460}, {2, 4, 5,
   23, 276, 345}, {2, 4, 5, 24, 121, 14520}, {2, 4, 5, 24, 122,
   7320}, {2, 4, 5, 24, 123, 4920}, {2, 4, 5, 24, 124, 3720}, {2, 4,
   5, 24, 125, 3000}, {2, 4, 5, 24, 126, 2520}, {2, 4, 5, 24, 128,
   1920}, {2, 4, 5, 24, 129, 1720}, {2, 4, 5, 24, 130, 1560}, {2, 4,
   5, 24, 132, 1320}, {2, 4, 5, 24, 135, 1080}, {2, 4, 5, 24, 136,
   1020}, {2, 4, 5, 24, 138, 920}, {2, 4, 5, 24, 140, 840}, {2, 4, 5,
   24, 144, 720}, {2, 4, 5, 24, 145, 696}, {2, 4, 5, 24, 150,
   600}, {2, 4, 5, 24, 152, 570}, {2, 4, 5, 24, 156, 520}, {2, 4, 5,
   24, 160, 480}, {2, 4, 5, 24, 165, 440}, {2, 4, 5, 24, 168,
   420}, {2, 4, 5, 24, 170, 408}, {2, 4, 5, 24, 180, 360}, {2, 4, 5,
   24, 184, 345}, {2, 4, 5, 24, 192, 320}, {2, 4, 5, 24, 195,
   312}, {2, 4, 5, 24, 200, 300}, {2, 4, 5, 24, 210, 280}, {2, 4, 5,
   24, 216, 270}, {2, 4, 5, 24, 220, 264}, {2, 4, 5, 25, 101,
   10100}, {2, 4, 5, 25, 102, 5100}, {2, 4, 5, 25, 104, 2600}, {2, 4,
   5, 25, 105, 2100}, {2, 4, 5, 25, 108, 1350}, {2, 4, 5, 25, 110,
   1100}, {2, 4, 5, 25, 116, 725}, {2, 4, 5, 25, 120, 600}, {2, 4, 5,
   25, 125, 500}, {2, 4, 5, 25, 140, 350}, {2, 4, 5, 25, 150,
   300}, {2, 4, 5, 25, 180, 225}, {2, 4, 5, 26, 87, 22620}, {2, 4, 5,
   26, 88, 5720}, {2, 4, 5, 26, 90, 2340}, {2, 4, 5, 26, 91,
   1820}, {2, 4, 5, 26, 92, 1495}, {2, 4, 5, 26, 95, 988}, {2, 4, 5,
   26, 100, 650}, {2, 4, 5, 26, 104, 520}, {2, 4, 5, 26, 120,
   312}, {2, 4, 5, 26, 130, 260}, {2, 4, 5, 26, 143, 220}, {2, 4, 5,
   26, 156, 195}, {2, 4, 5, 27, 78, 7020}, {2, 4, 5, 27, 80,
   2160}, {2, 4, 5, 27, 81, 1620}, {2, 4, 5, 27, 84, 945}, {2, 4, 5,
   27, 90, 540}, {2, 4, 5, 27, 108, 270}, {2, 4, 5, 27, 120, 216}, {2,
    4, 5, 27, 135, 180}, {2, 4, 5, 28, 71, 4970}, {2, 4, 5, 28, 72,
   2520}, {2, 4, 5, 28, 74, 1295}, {2, 4, 5, 28, 75, 1050}, {2, 4, 5,
   28, 77, 770}, {2, 4, 5, 28, 80, 560}, {2, 4, 5, 28, 84, 420}, {2,
   4, 5, 28, 90, 315}, {2, 4, 5, 28, 95, 266}, {2, 4, 5, 28, 98,
   245}, {2, 4, 5, 28, 105, 210}, {2, 4, 5, 28, 119, 170}, {2, 4, 5,
   28, 120, 168}, {2, 4, 5, 29, 65, 7540}, {2, 4, 5, 29, 70, 812}, {2,
    4, 5, 29, 116, 145}, {2, 4, 5, 30, 61, 3660}, {2, 4, 5, 30, 62,
   1860}, {2, 4, 5, 30, 63, 1260}, {2, 4, 5, 30, 64, 960}, {2, 4, 5,
   30, 65, 780}, {2, 4, 5, 30, 66, 660}, {2, 4, 5, 30, 68, 510}, {2,
   4, 5, 30, 69, 460}, {2, 4, 5, 30, 70, 420}, {2, 4, 5, 30, 72,
   360}, {2, 4, 5, 30, 75, 300}, {2, 4, 5, 30, 76, 285}, {2, 4, 5, 30,
    78, 260}, {2, 4, 5, 30, 80, 240}, {2, 4, 5, 30, 84, 210}, {2, 4,
   5, 30, 85, 204}, {2, 4, 5, 30, 90, 180}, {2, 4, 5, 30, 96,
   160}, {2, 4, 5, 30, 100, 150}, {2, 4, 5, 30, 105, 140}, {2, 4, 5,
   30, 108, 135}, {2, 4, 5, 30, 110, 132}, {2, 4, 5, 31, 60, 930}, {2,
    4, 5, 31, 62, 620}, {2, 4, 5, 32, 54, 4320}, {2, 4, 5, 32, 55,
   1760}, {2, 4, 5, 32, 56, 1120}, {2, 4, 5, 32, 60, 480}, {2, 4, 5,
   32, 64, 320}, {2, 4, 5, 32, 70, 224}, {2, 4, 5, 32, 80, 160}, {2,
   4, 5, 32, 96, 120}, {2, 4, 5, 33, 51, 11220}, {2, 4, 5, 33, 52,
   2145}, {2, 4, 5, 33, 55, 660}, {2, 4, 5, 33, 60, 330}, {2, 4, 5,
   33, 66, 220}, {2, 4, 5, 33, 88, 120}, {2, 4, 5, 34, 50, 1700}, {2,
   4, 5, 34, 51, 1020}, {2, 4, 5, 34, 60, 255}, {2, 4, 5, 34, 68,
   170}, {2, 4, 5, 35, 47, 6580}, {2, 4, 5, 35, 48, 1680}, {2, 4, 5,
   35, 49, 980}, {2, 4, 5, 35, 50, 700}, {2, 4, 5, 35, 52, 455}, {2,
   4, 5, 35, 55, 308}, {2, 4, 5, 35, 56, 280}, {2, 4, 5, 35, 60,
   210}, {2, 4, 5, 35, 63, 180}, {2, 4, 5, 35, 70, 140}, {2, 4, 5, 35,
    80, 112}, {2, 4, 5, 35, 84, 105}, {2, 4, 5, 36, 46, 2070}, {2, 4,
   5, 36, 48, 720}, {2, 4, 5, 36, 50, 450}, {2, 4, 5, 36, 54,
   270}, {2, 4, 5, 36, 60, 180}, {2, 4, 5, 36, 70, 126}, {2, 4, 5, 36,
    72, 120}, {2, 4, 5, 37, 44, 4070}, {2, 4, 5, 37, 45, 1332}, {2, 4,
    5, 38, 44, 1045}, {2, 4, 5, 38, 45, 684}, {2, 4, 5, 38, 76,
   95}, {2, 4, 5, 39, 42, 1820}, {2, 4, 5, 39, 45, 468}, {2, 4, 5, 39,
    52, 195}, {2, 4, 5, 39, 60, 130}, {2, 4, 5, 40, 41, 1640}, {2, 4,
   5, 40, 42, 840}, {2, 4, 5, 40, 44, 440}, {2, 4, 5, 40, 45,
   360}, {2, 4, 5, 40, 48, 240}, {2, 4, 5, 40, 50, 200}, {2, 4, 5, 40,
    56, 140}, {2, 4, 5, 40, 60, 120}, {2, 4, 5, 40, 65, 104}, {2, 4,
   5, 40, 72, 90}, {2, 4, 5, 42, 45, 252}, {2, 4, 5, 42, 56, 120}, {2,
    4, 5, 42, 60, 105}, {2, 4, 5, 42, 70, 84}, {2, 4, 5, 44, 45,
   198}, {2, 4, 5, 44, 55, 110}, {2, 4, 5, 44, 70, 77}, {2, 4, 5, 45,
   48, 144}, {2, 4, 5, 45, 52, 117}, {2, 4, 5, 45, 54, 108}, {2, 4, 5,
    45, 60, 90}, {2, 4, 5, 45, 63, 84}, {2, 4, 5, 48, 60, 80}, {2, 4,
   5, 50, 60, 75}, {2, 4, 5, 55, 60, 66}, {2, 4, 6, 13, 157,
   24492}, {2, 4, 6, 13, 158, 12324}, {2, 4, 6, 13, 159, 8268}, {2, 4,
    6, 13, 160, 6240}, {2, 4, 6, 13, 162, 4212}, {2, 4, 6, 13, 164,
   3198}, {2, 4, 6, 13, 165, 2860}, {2, 4, 6, 13, 168, 2184}, {2, 4,
   6, 13, 169, 2028}, {2, 4, 6, 13, 172, 1677}, {2, 4, 6, 13, 174,
   1508}, {2, 4, 6, 13, 180, 1170}, {2, 4, 6, 13, 182, 1092}, {2, 4,
   6, 13, 192, 832}, {2, 4, 6, 13, 195, 780}, {2, 4, 6, 13, 204,
   663}, {2, 4, 6, 13, 208, 624}, {2, 4, 6, 13, 228, 494}, {2, 4, 6,
   13, 234, 468}, {2, 4, 6, 13, 260, 390}, {2, 4, 6, 13, 273,
   364}, {2, 4, 6, 13, 300, 325}, {2, 4, 6, 14, 85, 7140}, {2, 4, 6,
   14, 86, 3612}, {2, 4, 6, 14, 87, 2436}, {2, 4, 6, 14, 88,
   1848}, {2, 4, 6, 14, 90, 1260}, {2, 4, 6, 14, 91, 1092}, {2, 4, 6,
   14, 92, 966}, {2, 4, 6, 14, 93, 868}, {2, 4, 6, 14, 96, 672}, {2,
   4, 6, 14, 98, 588}, {2, 4, 6, 14, 100, 525}, {2, 4, 6, 14, 102,
   476}, {2, 4, 6, 14, 105, 420}, {2, 4, 6, 14, 108, 378}, {2, 4, 6,
   14, 112, 336}, {2, 4, 6, 14, 120, 280}, {2, 4, 6, 14, 126,
   252}, {2, 4, 6, 14, 132, 231}, {2, 4, 6, 14, 133, 228}, {2, 4, 6,
   14, 140, 210}, {2, 4, 6, 14, 147, 196}, {2, 4, 6, 14, 156,
   182}, {2, 4, 6, 15, 61, 3660}, {2, 4, 6, 15, 62, 1860}, {2, 4, 6,
   15, 63, 1260}, {2, 4, 6, 15, 64, 960}, {2, 4, 6, 15, 65, 780}, {2,
   4, 6, 15, 66, 660}, {2, 4, 6, 15, 68, 510}, {2, 4, 6, 15, 69,
   460}, {2, 4, 6, 15, 70, 420}, {2, 4, 6, 15, 72, 360}, {2, 4, 6, 15,
    75, 300}, {2, 4, 6, 15, 76, 285}, {2, 4, 6, 15, 78, 260}, {2, 4,
   6, 15, 80, 240}, {2, 4, 6, 15, 84, 210}, {2, 4, 6, 15, 85,
   204}, {2, 4, 6, 15, 90, 180}, {2, 4, 6, 15, 96, 160}, {2, 4, 6, 15,
    100, 150}, {2, 4, 6, 15, 105, 140}, {2, 4, 6, 15, 108, 135}, {2,
   4, 6, 15, 110, 132}, {2, 4, 6, 16, 49, 2352}, {2, 4, 6, 16, 50,
   1200}, {2, 4, 6, 16, 51, 816}, {2, 4, 6, 16, 52, 624}, {2, 4, 6,
   16, 54, 432}, {2, 4, 6, 16, 56, 336}, {2, 4, 6, 16, 57, 304}, {2,
   4, 6, 16, 60, 240}, {2, 4, 6, 16, 64, 192}, {2, 4, 6, 16, 66,
   176}, {2, 4, 6, 16, 72, 144}, {2, 4, 6, 16, 80, 120}, {2, 4, 6, 16,
    84, 112}, {2, 4, 6, 17, 41, 8364}, {2, 4, 6, 17, 42, 1428}, {2, 4,
    6, 17, 44, 561}, {2, 4, 6, 17, 48, 272}, {2, 4, 6, 17, 51,
   204}, {2, 4, 6, 17, 68, 102}, {2, 4, 6, 18, 37, 1332}, {2, 4, 6,
   18, 38, 684}, {2, 4, 6, 18, 39, 468}, {2, 4, 6, 18, 40, 360}, {2,
   4, 6, 18, 42, 252}, {2, 4, 6, 18, 44, 198}, {2, 4, 6, 18, 45,
   180}, {2, 4, 6, 18, 48, 144}, {2, 4, 6, 18, 52, 117}, {2, 4, 6, 18,
    54, 108}, {2, 4, 6, 18, 60, 90}, {2, 4, 6, 18, 63, 84}, {2, 4, 6,
   19, 33, 2508}, {2, 4, 6, 19, 36, 342}, {2, 4, 6, 19, 38, 228}, {2,
   4, 6, 19, 57, 76}, {2, 4, 6, 20, 31, 930}, {2, 4, 6, 20, 32,
   480}, {2, 4, 6, 20, 33, 330}, {2, 4, 6, 20, 34, 255}, {2, 4, 6, 20,
    35, 210}, {2, 4, 6, 20, 36, 180}, {2, 4, 6, 20, 39, 130}, {2, 4,
   6, 20, 40, 120}, {2, 4, 6, 20, 42, 105}, {2, 4, 6, 20, 45, 90}, {2,
    4, 6, 20, 48, 80}, {2, 4, 6, 20, 50, 75}, {2, 4, 6, 20, 55,
   66}, {2, 4, 6, 21, 29, 812}, {2, 4, 6, 21, 30, 420}, {2, 4, 6, 21,
   32, 224}, {2, 4, 6, 21, 35, 140}, {2, 4, 6, 21, 36, 126}, {2, 4, 6,
    21, 42, 84}, {2, 4, 6, 21, 44, 77}, {2, 4, 6, 22, 27, 1188}, {2,
   4, 6, 22, 28, 462}, {2, 4, 6, 22, 30, 220}, {2, 4, 6, 22, 33,
   132}, {2, 4, 6, 22, 36, 99}, {2, 4, 6, 22, 44, 66}, {2, 4, 6, 24,
   25, 600}, {2, 4, 6, 24, 26, 312}, {2, 4, 6, 24, 27, 216}, {2, 4, 6,
    24, 28, 168}, {2, 4, 6, 24, 30, 120}, {2, 4, 6, 24, 32, 96}, {2,
   4, 6, 24, 33, 88}, {2, 4, 6, 24, 36, 72}, {2, 4, 6, 24, 40,
   60}, {2, 4, 6, 24, 42, 56}, {2, 4, 6, 25, 30, 100}, {2, 4, 6, 26,
   39, 52}, {2, 4, 6, 27, 36, 54}, {2, 4, 6, 28, 30, 70}, {2, 4, 6,
   30, 36, 45}, {2, 4, 7, 10, 141, 19740}, {2, 4, 7, 10, 142,
   9940}, {2, 4, 7, 10, 144, 5040}, {2, 4, 7, 10, 145, 4060}, {2, 4,
   7, 10, 147, 2940}, {2, 4, 7, 10, 148, 2590}, {2, 4, 7, 10, 150,
   2100}, {2, 4, 7, 10, 154, 1540}, {2, 4, 7, 10, 156, 1365}, {2, 4,
   7, 10, 160, 1120}, {2, 4, 7, 10, 165, 924}, {2, 4, 7, 10, 168,
   840}, {2, 4, 7, 10, 175, 700}, {2, 4, 7, 10, 180, 630}, {2, 4, 7,
   10, 189, 540}, {2, 4, 7, 10, 190, 532}, {2, 4, 7, 10, 196,
   490}, {2, 4, 7, 10, 210, 420}, {2, 4, 7, 10, 220, 385}, {2, 4, 7,
   10, 238, 340}, {2, 4, 7, 10, 240, 336}, {2, 4, 7, 10, 252,
   315}, {2, 4, 7, 11, 62, 9548}, {2, 4, 7, 11, 63, 2772}, {2, 4, 7,
   11, 66, 924}, {2, 4, 7, 11, 77, 308}, {2, 4, 7, 11, 84, 231}, {2,
   4, 7, 11, 110, 140}, {2, 4, 7, 12, 43, 1806}, {2, 4, 7, 12, 44,
   924}, {2, 4, 7, 12, 45, 630}, {2, 4, 7, 12, 46, 483}, {2, 4, 7, 12,
    48, 336}, {2, 4, 7, 12, 49, 294}, {2, 4, 7, 12, 51, 238}, {2, 4,
   7, 12, 54, 189}, {2, 4, 7, 12, 56, 168}, {2, 4, 7, 12, 60,
   140}, {2, 4, 7, 12, 63, 126}, {2, 4, 7, 12, 70, 105}, {2, 4, 7, 12,
    78, 91}, {2, 4, 7, 13, 42, 156}, {2, 4, 7, 13, 52, 91}, {2, 4, 7,
   14, 29, 812}, {2, 4, 7, 14, 30, 420}, {2, 4, 7, 14, 32, 224}, {2,
   4, 7, 14, 35, 140}, {2, 4, 7, 14, 36, 126}, {2, 4, 7, 14, 42,
   84}, {2, 4, 7, 14, 44, 77}, {2, 4, 7, 15, 25, 2100}, {2, 4, 7, 15,
   28, 210}, {2, 4, 7, 15, 30, 140}, {2, 4, 7, 15, 35, 84}, {2, 4, 7,
   15, 42, 60}, {2, 4, 7, 16, 24, 336}, {2, 4, 7, 16, 28, 112}, {2, 4,
    7, 16, 42, 48}, {2, 4, 7, 17, 21, 1428}, {2, 4, 7, 18, 20,
   630}, {2, 4, 7, 18, 21, 252}, {2, 4, 7, 18, 28, 63}, {2, 4, 7, 18,
   36, 42}, {2, 4, 7, 20, 21, 105}, {2, 4, 7, 20, 30, 42}, {2, 4, 7,
   21, 24, 56}, {2, 4, 7, 21, 28, 42}, {2, 4, 8, 9, 73, 5256}, {2, 4,
   8, 9, 74, 2664}, {2, 4, 8, 9, 75, 1800}, {2, 4, 8, 9, 76,
   1368}, {2, 4, 8, 9, 78, 936}, {2, 4, 8, 9, 80, 720}, {2, 4, 8, 9,
   81, 648}, {2, 4, 8, 9, 84, 504}, {2, 4, 8, 9, 88, 396}, {2, 4, 8,
   9, 90, 360}, {2, 4, 8, 9, 96, 288}, {2, 4, 8, 9, 99, 264}, {2, 4,
   8, 9, 104, 234}, {2, 4, 8, 9, 108, 216}, {2, 4, 8, 9, 120,
   180}, {2, 4, 8, 9, 126, 168}, {2, 4, 8, 9, 136, 153}, {2, 4, 8, 10,
    41, 1640}, {2, 4, 8, 10, 42, 840}, {2, 4, 8, 10, 44, 440}, {2, 4,
   8, 10, 45, 360}, {2, 4, 8, 10, 48, 240}, {2, 4, 8, 10, 50,
   200}, {2, 4, 8, 10, 56, 140}, {2, 4, 8, 10, 60, 120}, {2, 4, 8, 10,
    65, 104}, {2, 4, 8, 10, 72, 90}, {2, 4, 8, 11, 30, 1320}, {2, 4,
   8, 11, 32, 352}, {2, 4, 8, 11, 33, 264}, {2, 4, 8, 11, 40,
   110}, {2, 4, 8, 11, 44, 88}, {2, 4, 8, 12, 25, 600}, {2, 4, 8, 12,
   26, 312}, {2, 4, 8, 12, 27, 216}, {2, 4, 8, 12, 28, 168}, {2, 4, 8,
    12, 30, 120}, {2, 4, 8, 12, 32, 96}, {2, 4, 8, 12, 33, 88}, {2, 4,
    8, 12, 36, 72}, {2, 4, 8, 12, 40, 60}, {2, 4, 8, 12, 42, 56}, {2,
   4, 8, 13, 21, 2184}, {2, 4, 8, 13, 24, 156}, {2, 4, 8, 13, 26,
   104}, {2, 4, 8, 14, 19, 1064}, {2, 4, 8, 14, 20, 280}, {2, 4, 8,
   14, 21, 168}, {2, 4, 8, 14, 24, 84}, {2, 4, 8, 14, 28, 56}, {2, 4,
   8, 14, 35, 40}, {2, 4, 8, 15, 18, 360}, {2, 4, 8, 15, 20, 120}, {2,
    4, 8, 15, 24, 60}, {2, 4, 8, 15, 30, 40}, {2, 4, 8, 16, 17,
   272}, {2, 4, 8, 16, 18, 144}, {2, 4, 8, 16, 20, 80}, {2, 4, 8, 16,
   24, 48}, {2, 4, 8, 18, 24, 36}, {2, 4, 8, 20, 24, 30}, {2, 4, 8,
   21, 24, 28}, {2, 4, 9, 10, 26, 2340}, {2, 4, 9, 10, 27, 540}, {2,
   4, 9, 10, 28, 315}, {2, 4, 9, 10, 30, 180}, {2, 4, 9, 10, 36,
   90}, {2, 4, 9, 10, 40, 72}, {2, 4, 9, 10, 45, 60}, {2, 4, 9, 11,
   21, 2772}, {2, 4, 9, 11, 22, 396}, {2, 4, 9, 12, 19, 342}, {2, 4,
   9, 12, 20, 180}, {2, 4, 9, 12, 21, 126}, {2, 4, 9, 12, 22, 99}, {2,
    4, 9, 12, 24, 72}, {2, 4, 9, 12, 27, 54}, {2, 4, 9, 12, 30,
   45}, {2, 4, 9, 13, 18, 156}, {2, 4, 9, 14, 15, 1260}, {2, 4, 9, 14,
    18, 84}, {2, 4, 9, 15, 18, 60}, {2, 4, 9, 15, 20, 45}, {2, 4, 9,
   16, 18, 48}, {2, 4, 9, 18, 20, 30}, {2, 4, 9, 18, 21, 28}, {2, 4,
   10, 11, 17, 3740}, {2, 4, 10, 11, 20, 110}, {2, 4, 10, 12, 16,
   240}, {2, 4, 10, 12, 18, 90}, {2, 4, 10, 12, 20, 60}, {2, 4, 10,
   12, 24, 40}, {2, 4, 10, 13, 15, 156}, {2, 4, 10, 14, 15, 84}, {2,
   4, 10, 14, 20, 35}, {2, 4, 10, 15, 16, 48}, {2, 4, 10, 15, 18,
   36}, {2, 4, 10, 15, 20, 30}, {2, 4, 10, 15, 21, 28}, {2, 4, 11, 12,
    14, 231}, {2, 4, 11, 12, 15, 110}, {2, 4, 11, 12, 22, 33}, {2, 4,
   12, 14, 15, 35}}

586个解。

{{2, 5, 6, 8, 121, 14520}, {2, 5, 6, 8, 122, 7320}, {2, 5, 6, 8, 123,
   4920}, {2, 5, 6, 8, 124, 3720}, {2, 5, 6, 8, 125, 3000}, {2, 5, 6,
   8, 126, 2520}, {2, 5, 6, 8, 128, 1920}, {2, 5, 6, 8, 129,
   1720}, {2, 5, 6, 8, 130, 1560}, {2, 5, 6, 8, 132, 1320}, {2, 5, 6,
   8, 135, 1080}, {2, 5, 6, 8, 136, 1020}, {2, 5, 6, 8, 138, 920}, {2,
    5, 6, 8, 140, 840}, {2, 5, 6, 8, 144, 720}, {2, 5, 6, 8, 145,
   696}, {2, 5, 6, 8, 150, 600}, {2, 5, 6, 8, 152, 570}, {2, 5, 6, 8,
   156, 520}, {2, 5, 6, 8, 160, 480}, {2, 5, 6, 8, 165, 440}, {2, 5,
   6, 8, 168, 420}, {2, 5, 6, 8, 170, 408}, {2, 5, 6, 8, 180,
   360}, {2, 5, 6, 8, 184, 345}, {2, 5, 6, 8, 192, 320}, {2, 5, 6, 8,
   195, 312}, {2, 5, 6, 8, 200, 300}, {2, 5, 6, 8, 210, 280}, {2, 5,
   6, 8, 216, 270}, {2, 5, 6, 8, 220, 264}, {2, 5, 6, 9, 46,
   2070}, {2, 5, 6, 9, 48, 720}, {2, 5, 6, 9, 50, 450}, {2, 5, 6, 9,
   54, 270}, {2, 5, 6, 9, 60, 180}, {2, 5, 6, 9, 70, 126}, {2, 5, 6,
   9, 72, 120}, {2, 5, 6, 10, 31, 930}, {2, 5, 6, 10, 32, 480}, {2, 5,
    6, 10, 33, 330}, {2, 5, 6, 10, 34, 255}, {2, 5, 6, 10, 35,
   210}, {2, 5, 6, 10, 36, 180}, {2, 5, 6, 10, 39, 130}, {2, 5, 6, 10,
    40, 120}, {2, 5, 6, 10, 42, 105}, {2, 5, 6, 10, 45, 90}, {2, 5, 6,
    10, 48, 80}, {2, 5, 6, 10, 50, 75}, {2, 5, 6, 10, 55, 66}, {2, 5,
   6, 11, 24, 1320}, {2, 5, 6, 11, 30, 110}, {2, 5, 6, 12, 21,
   420}, {2, 5, 6, 12, 22, 220}, {2, 5, 6, 12, 24, 120}, {2, 5, 6, 12,
    25, 100}, {2, 5, 6, 12, 28, 70}, {2, 5, 6, 12, 30, 60}, {2, 5, 6,
   12, 36, 45}, {2, 5, 6, 13, 18, 1170}, {2, 5, 6, 13, 20, 156}, {2,
   5, 6, 14, 20, 84}, {2, 5, 6, 14, 21, 70}, {2, 5, 6, 14, 30,
   35}, {2, 5, 6, 15, 16, 240}, {2, 5, 6, 15, 18, 90}, {2, 5, 6, 15,
   20, 60}, {2, 5, 6, 15, 24, 40}, {2, 5, 6, 16, 20, 48}, {2, 5, 6,
   18, 20, 36}, {2, 5, 6, 20, 21, 28}, {2, 5, 7, 8, 32, 1120}, {2, 5,
   7, 8, 35, 280}, {2, 5, 7, 8, 40, 140}, {2, 5, 7, 8, 42, 120}, {2,
   5, 7, 8, 56, 70}, {2, 5, 7, 9, 42, 45}, {2, 5, 7, 10, 18, 630}, {2,
    5, 7, 10, 20, 140}, {2, 5, 7, 10, 21, 105}, {2, 5, 7, 10, 30,
   42}, {2, 5, 7, 12, 14, 420}, {2, 5, 7, 12, 15, 140}, {2, 5, 7, 12,
   20, 42}, {2, 5, 7, 14, 20, 28}, {2, 5, 8, 9, 16, 720}, {2, 5, 8, 9,
    18, 120}, {2, 5, 8, 9, 20, 72}, {2, 5, 8, 9, 24, 45}, {2, 5, 8,
   10, 14, 280}, {2, 5, 8, 10, 15, 120}, {2, 5, 8, 10, 16, 80}, {2, 5,
    8, 10, 20, 40}, {2, 5, 8, 10, 24, 30}, {2, 5, 8, 11, 12,
   1320}, {2, 5, 8, 12, 15, 40}, {2, 5, 8, 12, 20, 24}, {2, 5, 9, 10,
   12, 180}, {2, 5, 9, 10, 15, 45}, {2, 5, 9, 10, 18, 30}, {2, 5, 9,
   12, 18, 20}, {2, 5, 10, 12, 15, 20}}
103个解。

{{2, 6, 7, 8, 16, 336}, {2, 6, 7, 8, 21, 56}, {2, 6, 7, 8, 24,
  42}, {2, 6, 7, 9, 14, 126}, {2, 6, 7, 9, 18, 42}, {2, 6, 7, 10, 12,
  140}, {2, 6, 7, 10, 15, 42}, {2, 6, 7, 12, 14, 28}, {2, 6, 8, 9, 12,
   72}, {2, 6, 8, 9, 18, 24}, {2, 6, 8, 10, 12, 40}, {2, 6, 8, 10, 15,
   24}, {2, 6, 9, 10, 15, 18}}

13个解。

{{3, 4, 5, 6, 21, 420}, {3, 4, 5, 6, 22, 220}, {3, 4, 5, 6, 24,
   120}, {3, 4, 5, 6, 25, 100}, {3, 4, 5, 6, 28, 70}, {3, 4, 5, 6, 30,
    60}, {3, 4, 5, 6, 36, 45}, {3, 4, 5, 7, 14, 420}, {3, 4, 5, 7, 15,
    140}, {3, 4, 5, 7, 20, 42}, {3, 4, 5, 8, 11, 1320}, {3, 4, 5, 8,
   12, 120}, {3, 4, 5, 8, 15, 40}, {3, 4, 5, 8, 20, 24}, {3, 4, 5, 9,
   10, 180}, {3, 4, 5, 9, 12, 45}, {3, 4, 5, 9, 18, 20}, {3, 4, 5, 10,
    12, 30}, {3, 4, 5, 10, 15, 20}, {3, 4, 6, 7, 10, 140}, {3, 4, 6,
   7, 12, 42}, {3, 4, 6, 7, 14, 28}, {3, 4, 6, 8, 9, 72}, {3, 4, 6, 8,
    10, 40}, {3, 4, 6, 8, 12, 24}, {3, 4, 6, 9, 12, 18}, {3, 4, 6, 10,
    12, 15}}
27个解。

总计1591+586+103+13+27=2320个解。

评分

参与人数 1威望 +6 金币 +6 贡献 +6 经验 +6 鲜花 +6 收起 理由
王守恩 + 6 + 6 + 6 + 6 + 6 赞一个!

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毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2019-9-21 09:47:38 | 显示全部楼层
本帖最后由 葡萄糖 于 2019-9-21 09:53 编辑

【强烈建议管理员改一下标题】(方便以后搜索)
比如:埃及分数互异正整数解及其组数
A006585
Egyptian fractions: number of solutions to 1 = 1/x_1 + ... + 1/x_n in positive integers x_1 < ... < x_n.
1, 0, 1, 6, 72, 2320, 245765, 151182379, ⋅⋅⋅⋅⋅⋅

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.·.·. + 1 可怕……
王守恩 + 6 + 6 + 6 + 6 + 6 给得好!

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毋因群疑而阻独见  毋任己意而废人言
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