I am trying to find solutions to the following Diophantine system:
a+b+c=x^2
a^2+b^2+c^2=y^2
a^3+b^3+c^3=z^2
where a,b,c are less than 5000 and where x,y,z are perfect squares
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I am trying to find solutions to the following Diophantine system:
a+b+c=x^2
a^2+b^2+c^2=y^2
a^3+b^3+c^3=z^2
where a,b,c are less than 5000 and where x,y,z are perfect squares
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