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Last 2007 digits (Posted on 2012-05-12) Difficulty: 3 of 5
Determine the total count of positive integers n between 1 and 102007 inclusively such that the last 2007 digits of n and n3 are the same. (If n or n3 has fewer than 2007 digits, treat it as if it had zeros on the left to compare the last 2007 digits.)

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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A start | Comment 1 of 3
The answer is definitely at least 2 and probably at least 3.

Aside from 0...01 we also have the 2007 digit automorphic numbers
There are usually two for any given digit count, but sometimes only one.

  Posted by Jer on 2012-05-14 09:05:33
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