Determine the minimum value of a positive integer N such that the 2nd, 3rd, 4th and 5th digits in order immediately following the decimal point (reading left to right) in the base ten expansion of √N is 2013.

*** For an extra challenge, solve this puzzle without using a computer program.

(In reply to re: With computer by Ady TZIDON)

I tried a lot of things too.  I got nowhere.

One promising thing was to use the method of extracting square roots by hand but the algebra gets immensely complicated.

Posted by Jer on 2013-01-09 13:40:49