Square and Cube

Find the smallest positive integers m , n , p , q m,n,p,q that m 2 n 2 = p 3 m^2-n^2=p^3 and m 3 n 3 = q 2 m^3-n^3=q^2 .

Details : Suppose if m,n,p,q are 9,10,11,12 then input your solution as "9101112"


The answer is 106428.

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