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Let's call $S$ the (infinite) string that is made by concatenating the consecutive positive integers (starting from 1) written down in base 10. Thus, $S = 1234567891011121314151617181920212223242\ldots$

Any number in $S$ occurs multiple times. The first occurence of 3 is in position 3 of the series, 2nd occurence is in position 17.

How do I find the position of 3 in 100th occurence? Is there a pattern?

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    The answers, *of course*, depend on the infinite sequence. Unless you provide details about it, this is not a real question.2010-10-14
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    My guess is this is motivation: http://projecteuler.net/index.php?section=problems&id=3052010-10-14
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    Moron - You are right.2010-10-14
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    @Milli Zeal: As you agreed with Moron's comment, I've edited the question to ask what I think you meant to ask. Feel free to change it back if it's not what you intended.2010-10-14
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    Of course there is a pattern. The question is: how complicated is the pattern?2010-10-14

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