Solutions to $a (2 a^2 + 2 b^2 + c^2 + d^2) = (2 a^3 + 2 b^3 + c^3 + d^3)$ in integers
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I ask for positive integral solutions to $a (2 a^2 + 2 b^2 + c^2 + d^2) = (2 a^3 + 2 b^3 + c^3 + d^3)$ , where a,b,c,d are positive integers and $aneq bneq cneq d$ . In particular does a solution exist for $d>1$ .
number-theory
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asked 2 days ago
user631773 user631773
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