Consider this equation:

1/4 = (A₁)^-2 + (A₂)^-2 +.....+ (A_n)^-2
where, each of the A_i's is a different positive integer - for all i=1 to n (inclusively).
n must be greater than 1.

1. Determine the minimum value of n, for which there is at least one solution. Provide at least one valid representation for that smallest value.
   
2. Determine the next three possible values of n for which there is a valid solution (At least one representation corresponding to each of the three values of n must be given.)
3. Determine the maximum value of n that is achievable by way of simulation.

Only as a bonus question, display all possible representations corresponding to the minimum value of n.