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 With computer by Charlie)

 N = 4532  qualifies re the text as it is  written, and the solution by computer  is impecable.

 

I would appreciate it very much , if someone showed me the "analytical" solution.

God knows, I tried...

Posted by Ady TZIDON on 2013-01-09 13:30:43