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

Posted by Ady TZIDON on 2012-04-04 14:00:44