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发表于 2012-10-23 16:47:09
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显示全部楼层
推广到立方
数位中只有2个数字的立方,除了
3,4,7,11的立方,在10^7以下未有其他非平凡实例
只有3个数字的立方,有下列结果
[(5,125),(6,216),(8,512),(9,729),(14,2744),(15,3375),(30,27000),(36,46656),(40,64000),(62,238328),(70,343000),(92,778688),(101,1030301),(110,1331000),(173,5177717),(192,7077888),(211,9393931),(300,27000000),(400,64000000),(700,343000000),(888,700227072),(1001,1003003001),(1010,1030301000),(1100,1331000000),(1920,7077888000),(3000,27000000000),(3543,44474744007),(4000,64000000000),(7000,343000000000),(8880,700227072000),(10001,1000300030001),(10010,1003003001000),(10100,1030301000000),(11000,1331000000000),(19200,7077888000000),(30000,27000000000000),(35430,44474744007000),(40000,64000000000000),(70000,343000000000000),(88800,700227072000000),(100001,1000030000300001),(100010,1000300030001000),(100100,1003003001000000),(101000,1030301000000000),(110000,1331000000000000),(110011,1331399339931331),(146796,3163316636166336),(192000,7077888000000000),(300000,27000000000000000),(354300,44474744007000000),(400000,64000000000000000),(700000,343000000000000000),(888000,700227072000000000),(1000001,1000003000003000001),(1000010,1000030000300001000),(1000100,1000300030001000000),(1001000,1003003001000000000),(1010000,1030301000000000000),(1100000,1331000000000000000),(1920000,7077888000000000000),(3000000,27000000000000000000),(3543000,44474744007000000000),(4000000,64000000000000000000),(7000000,343000000000000000000),(8880000,700227072000000000000)] |
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