A Number Question

来源: xxxvivian 于 2005-02-05 23:37:23 [] [旧帖] [给我悄悄话] 阅读数 : (188 bytes)

The repeat of a positive integer is obtained by writing it twice in a row (so, for example, the repeat of 254 is 254254). Is there a positive integer whose repeat is a perfect square?

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• if there are N and M that -10^N+1=M^2- ♀ 给 10^N+1=M^2 发送悄悄话 (0 bytes) () 02/06/2005 postreply 04:03:38

• 回复：A Number Question -jinjing- ♀ 给 jinjing 发送悄悄话 (205 bytes) () 02/06/2005 postreply 15:34:59

• I'm wrong -jinjing- ♀ 给 jinjing 发送悄悄话 (45 bytes) () 02/06/2005 postreply 16:06:27

• 90909090910^2 -fzy- ♀ 给 fzy 发送悄悄话 (24 bytes) () 02/06/2005 postreply 17:05:54

• 回复：Tks. How did you solve it? -xxxvivian- ♀ 给 xxxvivian 发送悄悄话 (0 bytes) () 02/06/2005 postreply 21:56:44

• 回复：A General Solution -xxxvivian- ♀ 给 xxxvivian 发送悄悄话 (584 bytes) () 02/06/2005 postreply 23:55:56

• 回复：A General Solution -fzy- ♀ 给 fzy 发送悄悄话 (287 bytes) () 02/07/2005 postreply 07:48:07

• 回复：回复：A General Solution -jinjing- ♀ 给 jinjing 发送悄悄话 (498 bytes) () 02/07/2005 postreply 16:48:20

• 回复：Not general enough -xxxvivian- ♀ 给 xxxvivian 发送悄悄话 (67 bytes) () 02/07/2005 postreply 00:01:03

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