List questions from diophantine-equations

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How to solve 3 variable in 2 equation?

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equation $x^4 + y^4 = z^4$

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Find all values of positive integers $x,y,z$ so that $4^x+4^y+4^z$ is a perfect square

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Solving the Mordell equation $y^2 = x^3 − 2$; what would be a general strategy?

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Types of elliptic curves

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Integer solutions of a degree 3 curve

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Solving to find the general equation with a "mod" equation

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Correct statement of Fermat's Last Theorem

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Cubic Congruence Solutions

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Does the equation $3x^2-2y^2=1$ has infinitely many integer solutions such that $3|x$ ?

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Parametric characterization for $x^2 + y^2 = 2z^2$

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Integer solutions of $x^3 = 7y^3 + 6 y^2+2 y$?

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Is the following inequality true $(a^3-b^6)^3+(3abc)^3 \leq (a^3-b^6+3cb^3)^3$?

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Solving a Diophantine equation3

Published on 17 May 2015 - 16:59

List Question

30th problem of the fifth book of Diophantus;

How to solve 3 variable in 2 equation?

equation $x^4 + y^4 = z^4$

Find all values of positive integers $x,y,z$ so that $4^x+4^y+4^z$ is a perfect square

Solving the Mordell equation $y^2 = x^3 − 2$; what would be a general strategy?

Types of elliptic curves

Integer solutions of a degree 3 curve

Solving to find the general equation with a "mod" equation

Correct statement of Fermat's Last Theorem

Cubic Congruence Solutions

Does the equation $3x^2-2y^2=1$ has infinitely many integer solutions such that $3|x$ ?

Parametric characterization for $x^2 + y^2 = 2z^2$

Integer solutions of $x^3 = 7y^3 + 6 y^2+2 y$?

Is the following inequality true $(a^3-b^6)^3+(3abc)^3 \leq (a^3-b^6+3cb^3)^3$?

Solving a Diophantine equation3

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