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 Last 2007 digits (Posted on 2012-05-12)
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 http://oeis.org/A003226
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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