Determine the minimum value of a positive integer N such that the four digits immediately following the decimal point in the base ten expansion of √N is 2012.

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

(In reply to

computer solution by Charlie)

**Oops, I've missed this one .**

**3869; 19377; 20794; 22261. **** WERE MY ANSWERS,-**

** SOMEHOW OVERLOOKED THE SMALLEST ONE**

**BTW . the integer parts of the last three (I39,144,149) form an arithmetic progression.**

*Edited on ***April 4, 2012, 2:32 pm**