List questions from diophantine-equations

Published on 14 Mar 2024 - 22:58

122

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How do I solve this Diophantine equation?

Published on 17 Mar 2024 - 18:06

65

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solving a Diophantine equation $17+2^m=n^2$

Published on 19 Mar 2024 - 6:30

184

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Are there solutions of $a^n+n+b^n=c^n$ for $n>2$?

Published on 19 Mar 2024 - 16:12

40

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Solutions to diophantine equation over finite hypercube

Published on 20 Mar 2024 - 16:22

88

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Conditions for solutions $a^3 - b^3 = n$

Published on 22 Mar 2024 - 8:46

264

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Find prime numbers satisfying an equation

Published on 27 Mar 2026 - 7:48

132

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Simpler solution of the Diophantine equation $x^6-y^6=z^2$.

Published on 26 Mar 2026 - 4:34

71

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Can $\frac{a^n + b^n}{a+b} = c^n$ have a solution? (CONT)

Published on 03 Apr 2026 - 6:44

81

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Let $f(x)=x^2-kx$ and $g(x)=x^3-kx$, such that for a rational number $\alpha$, $f(\alpha)$ and $g(\alpha)$ both are rational numbers. Find k

Published on 28 Mar 2024 - 9:00

206

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What numbers can be written uniquely as a sum of two squares?

Published on 30 Mar 2024 - 18:33

34

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Understanding a Map from rational points to the space of k-rational maps

Published on 30 Mar 2026 - 16:48

101

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How to find multiple solutions for 3 variable, 2 degree Diophantine equation?

Published on 31 Mar 2024 - 9:32

140

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Consecutive cubes equal to a square $\frac{1}{8}ab(a^2+b^2-1) = y^2$, and Pythagorean triples

Published on 05 Jan 2015 - 3:49

598

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Number of integral solutions to a polynomial

Published on 06 Jan 2015 - 16:21

List Question

how to find integer solutions of algebra problem involving division and powers

How do I solve this Diophantine equation?

solving a Diophantine equation $17+2^m=n^2$

Are there solutions of $a^n+n+b^n=c^n$ for $n>2$?

Solutions to diophantine equation over finite hypercube

Conditions for solutions $a^3 - b^3 = n$

Find prime numbers satisfying an equation

Simpler solution of the Diophantine equation $x^6-y^6=z^2$.

Can $\frac{a^n + b^n}{a+b} = c^n$ have a solution? (CONT)

Let $f(x)=x^2-kx$ and $g(x)=x^3-kx$, such that for a rational number $\alpha$, $f(\alpha)$ and $g(\alpha)$ both are rational numbers. Find k

What numbers can be written uniquely as a sum of two squares?

Understanding a Map from rational points to the space of k-rational maps

How to find multiple solutions for 3 variable, 2 degree Diophantine equation?

Consecutive cubes equal to a square $\frac{1}{8}ab(a^2+b^2-1) = y^2$, and Pythagorean triples

Number of integral solutions to a polynomial

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