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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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Is it true that $\{x^3+2y^3+3z^3:\ x,y,z\in\mathbb Z\}=\mathbb Z$?
Above equation shown below:
$x^3+2y^3+3z^3=n$ ------------$(1)$
Above equation $(1)$ can be written as:
$ax^3+by^3+cz^3=n$
Seiji Tomita has shown that for $(a+b=c)$ there are rational solut …