All the positive perfect squares 1, 4, 9, 16, 25.... are written in strictly ascending order of magnitude and without the commas and spaces, resulting in the following infinite string:

149162536496481100121144......

Reading left to right, what is the 2010^th digit in the above pattern?

I used the following BASIC code to verify what Jer calculated and got the same result of 6:

    YEAR = 2010

    FOR i = 1 TO 1000
        s$ = s$ + STR$(i^2)
        IF LEN(s$) >= YEAR THEN GOTO [Stop]
    NEXT i

[Stop]
    PRINT MID$(s$, YEAR, 1)
    END

Posted by Jim Keneipp on 2010-01-28 13:49:55