List questions from diophantine-equations

Published on 01 Apr 2026 - 7:01

63

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An evil idea for nasty mathematician: making up coefficients for N-variable equation so that it would have a single solution for variables == 0, 1.

Published on 26 Dec 2019 - 21:01

60

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Can we prove that $\operatorname{rad}(ABC)^2-C$ is not a square when $A+B=C$ are coprime integers?

Published on 30 Mar 2026 - 21:31

28

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What makes two solutions distinct in the Vinogradov mean value?

Published on 27 Dec 2019 - 22:19

457

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Why continued fraction gives initial solution of Pell's equation

Published on 26 Mar 2026 - 14:42

69

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Power Diophantine Equation: $ax^n-by^m=1$

Published on 30 Dec 2019 - 16:23

142

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Finding shortcuts in solving Diophantine equation

Published on 29 Mar 2026 - 10:46

718

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Solve Diophantine equation: $2^x=5^y+3$ for non-negative integers $x,y$.

Published on 23 Mar 2026 - 11:17

412

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Finding $589x \equiv 209 \pmod {817}$

Published on 01 Jan 2020 - 8:53

118

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Is there any solution for $S_m(x)=y^m$

Published on 01 Jan 2020 - 12:49

125

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solution of equation $x^n-y^m=2$

Published on 03 Jan 2020 - 14:30

87

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A Diophantine equation: solve $(3x^2+y^2-4y-17)^3-(2x^2+2y^2-4y-6)^3=(x^2-y^2-11)^3$ (without using Fermat's last theorem)

Published on 09 Jan 2020 - 1:39

290

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No positive integer solution for $x^2 + y^3 = z^6$?

Published on 09 Jan 2020 - 9:42

815

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Find all positive integers satisfying $a^{b^2}=b^a$.

Published on 23 Mar 2026 - 3:33

138

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Mathematical shortcut to determine if a number is a integer

Published on 29 Mar 2026 - 11:43

List Question

Towards a Little proof of Fermat's last theorem

An evil idea for nasty mathematician: making up coefficients for N-variable equation so that it would have a single solution for variables == 0, 1.

Can we prove that $\operatorname{rad}(ABC)^2-C$ is not a square when $A+B=C$ are coprime integers?

What makes two solutions distinct in the Vinogradov mean value?

Why continued fraction gives initial solution of Pell's equation

Power Diophantine Equation: $ax^n-by^m=1$

Finding shortcuts in solving Diophantine equation

Solve Diophantine equation: $2^x=5^y+3$ for non-negative integers $x,y$.

Finding $589x \equiv 209 \pmod {817}$

Is there any solution for $S_m(x)=y^m$

solution of equation $x^n-y^m=2$

A Diophantine equation: solve $(3x^2+y^2-4y-17)^3-(2x^2+2y^2-4y-6)^3=(x^2-y^2-11)^3$ (without using Fermat's last theorem)

No positive integer solution for $x^2 + y^3 = z^6$?

Find all positive integers satisfying $a^{b^2}=b^a$.

Mathematical shortcut to determine if a number is a integer

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