List questions from diophantine-equations

Published on 28 Apr 2016 - 19:47

1.3k

Views

Find all positive integers solutions for $x^2-xy-y^2=1$

Published on 29 Apr 2016 - 8:04

1.7k

Views

Integer solutions to $x^2-xy+y^2=1$

Published on 01 Apr 2026 - 14:54

113

Views

The number of integral solutions $(x,y)$ of $x^3+3x^2y+3xy^2+2y^3=50653$

Published on 29 Apr 2016 - 11:04

109

Views

Finding the fundamental Pell solution from a system of Pell-like equations

Published on 29 Apr 2016 - 15:02

51

Views

Does this Diophantine inequality have any solutions for $p, q \in \mathbb{N}$?

Published on 27 Mar 2026 - 5:38

146

Views

Completeness proofs for the solutions of Diophantine Equations

Published on 11 Apr 2026 - 20:50

6k

Views

$x^2+y^2=2z^2$, positive integer solutions

Published on 01 May 2016 - 18:45

97

Views

Under certain conditions $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{a'}+\frac{1}{b'}+\frac{1}{c'}\Rightarrow \{a,b,c\}=\{a',b',c'\}$

Published on 26 Mar 2026 - 19:02

57

Views

Linear Transformations between solutions to different hyperboloids

Published on 10 Apr 2026 - 20:36

75

Views

If $a\not\equiv 0\mod{p}$ then there are $p-1$ solutions (ordered pairs) to $x^2-y^2\equiv a\mod{p}$

Published on 28 Mar 2026 - 21:34

1.7k

Views

Solve Linear Diophantine $12x+18y = 54$

Published on 03 May 2016 - 7:00

441

Views

Smallest number of coins to guarantee exact change?

Published on 25 Mar 2026 - 22:04

186

Views

Diophantine Equation $x^2+y^2+z^2=c$

Published on 04 May 2016 - 19:25

614

Views

Find all integer values of $x$ such that $x^2 + 13x + 3$ is a perfect integer square.

Published on 05 May 2016 - 4:09

List Question

Solving $(ap)^2-d(bq)^2=1$ for distinct primes $p,q$

Find all positive integers solutions for $x^2-xy-y^2=1$

Integer solutions to $x^2-xy+y^2=1$

The number of integral solutions $(x,y)$ of $x^3+3x^2y+3xy^2+2y^3=50653$

Finding the fundamental Pell solution from a system of Pell-like equations

Does this Diophantine inequality have any solutions for $p, q \in \mathbb{N}$?

Completeness proofs for the solutions of Diophantine Equations

$x^2+y^2=2z^2$, positive integer solutions

Under certain conditions $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{a'}+\frac{1}{b'}+\frac{1}{c'}\Rightarrow \{a,b,c\}=\{a',b',c'\}$

Linear Transformations between solutions to different hyperboloids

If $a\not\equiv 0\mod{p}$ then there are $p-1$ solutions (ordered pairs) to $x^2-y^2\equiv a\mod{p}$

Solve Linear Diophantine $12x+18y = 54$

Smallest number of coins to guarantee exact change?

Diophantine Equation $x^2+y^2+z^2=c$

Find all integer values of $x$ such that $x^2 + 13x + 3$ is a perfect integer square.

Trending Questions

Popular # Hahtags

Popular Questions