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... **