List questions from diophantine-equations

Published on 15 Apr 2026 - 22:26

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Diophantine Equation Possible Values of GCD

Published on 11 Apr 2026 - 14:28

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Integer expression

Published on 09 Apr 2026 - 2:45

134

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Combinations problem, 2 variables

Published on 12 Apr 2026 - 21:47

624

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Solve $x^3 +y^3 + z^3 =57$

Published on 16 Apr 2026 - 19:14

33

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Diophantine equation of the form $ax^2+by=1, hcf(a,b)=1$

Published on 15 Apr 2026 - 19:24

104

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Solve the diophantine equation $5^m + n^2=3^p$

Published on 17 Apr 2026 - 5:40

183

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Is this a case for $\gcd$ of rational numbers?

Published on 09 Apr 2026 - 13:02

296

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Find all values of $m$, s.t. $7x + 31y = m$ has exactly two positive solutions.

Published on 15 Apr 2026 - 22:26

398

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How to extend the matrix with determinant 1 to keep it

Published on 11 Apr 2026 - 18:38

273

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Solutions of $1+2^a = 4 \cdot 3^b + 5^c$ in integers

Published on 16 Apr 2026 - 13:53

104

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$ X^6 + Y^6 + Z^6 = A^6 + B^6 + C^6 = I^6 + J^6 + K^6 = T $

Published on 17 Apr 2026 - 14:07

158

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How to solve equations like $2^n = 9... ?$

Published on 28 Mar 2026 - 20:56

488

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Why is solving $ax + by = c$ for $x$ and $y$ equivalent to solving $ax \equiv c$ (mod $b$), wherein $a, b, c, x, y \in\mathbb Z$?

Published on 12 Apr 2026 - 9:10

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How to find the number of solutions to the equation $\frac {50}{x} + \frac {126}{y} = 1$ , assuming that x and y are positive, integer numbers?

Published on 13 Apr 2026 - 19:48

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Find all $z$ such that $ au^2+2buv+cv^2=z^{2k+1}$

Diophantine Equation Possible Values of GCD

Integer expression

Combinations problem, 2 variables

Solve $x^3 +y^3 + z^3 =57$

Diophantine equation of the form $ax^2+by=1, hcf(a,b)=1$

Solve the diophantine equation $5^m + n^2=3^p$

Is this a case for $\gcd$ of rational numbers?

Find all values of $m$, s.t. $7x + 31y = m$ has exactly two positive solutions.

How to extend the matrix with determinant 1 to keep it

Solutions of $1+2^a = 4 \cdot 3^b + 5^c$ in integers

$ X^6 + Y^6 + Z^6 = A^6 + B^6 + C^6 = I^6 + J^6 + K^6 = T $

How to solve equations like $2^n = 9... ?$

Why is solving $ax + by = c$ for $x$ and $y$ equivalent to solving $ax \equiv c$ (mod $b$), wherein $a, b, c, x, y \in\mathbb Z$?

How to find the number of solutions to the equation $\frac {50}{x} + \frac {126}{y} = 1$ , assuming that x and y are positive, integer numbers?

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