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 No Subject by brianjn)

I hit a wrong key which posted my prior comment.

Ady (elsewhere ) had queried the value of the first place after the decimal point, hence the extended listing; every digit shows somewhere in that place.

In case it was missed, I included a skeleton thought of an early attempt to arrive at a solution using Excel.

Edited on January 9, 2013, 7:03 pm

Posted by brianjn on 2013-01-09 19:01:48