Egyptian Fractions

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You all probably know the Erdos Strauss Conjecture :
4/n = 1/x + 1/y + 1/z

n > 3 and z > y > x

I am not trying to solve the Conjecture but just to minimize z . The
Problem was solved for the maximization of z.

I think it's simple but I didn't find. Can anyone help me please ?