List questions from diophantine-equations

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Quadratic Integers and Sandwich Numbers

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Solving $x^2+y^3=z^2$

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Writing $11$ by sum of $3$s and $1$s

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On elementary proofs of Fermat's Last Theorem

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Find all integer solutions $(x,y)$ to $400x^6-60x^3-343y^3+3 = 0$

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$(a^2+b^2)\cdot (c^2+d^2) = z^2+1$ then $z = ac+bd$ ?

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Definition of Divicibility

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Integer solutions to $2x - 3y = z$ and $2y - 3z = x$

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Diophantine equation $n^2+23=2^{2k}$

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Positive integer solutions to $\frac{x}{y+z}+\frac{y}{x+z}+\frac{z}{x+y}=4$

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Sum of square $i^2+j^2 = x^2+1$ with $\gcd(i, j) = 1$

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When do different binomial coefficients coincide?

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$a^3+300^2=k(a^2b^2+300):$ Is this Diophantine equation too easy or too hard?

Published on 17 Apr 2026 - 8:46

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Diophantine inequalities?

Published on 10 Apr 2026 - 19:01

List Question

Integer solutions of $x^2+5y^2=231^2$

Quadratic Integers and Sandwich Numbers

Solving $x^2+y^3=z^2$

Writing $11$ by sum of $3$s and $1$s

On elementary proofs of Fermat's Last Theorem

Find all integer solutions $(x,y)$ to $400x^6-60x^3-343y^3+3 = 0$

$(a^2+b^2)\cdot (c^2+d^2) = z^2+1$ then $z = ac+bd$ ?

Definition of Divicibility

Integer solutions to $2x - 3y = z$ and $2y - 3z = x$

Diophantine equation $n^2+23=2^{2k}$

Positive integer solutions to $\frac{x}{y+z}+\frac{y}{x+z}+\frac{z}{x+y}=4$

Sum of square $i^2+j^2 = x^2+1$ with $\gcd(i, j) = 1$

When do different binomial coefficients coincide?

$a^3+300^2=k(a^2b^2+300):$ Is this Diophantine equation too easy or too hard?

Diophantine inequalities?

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