List questions from diophantine-equations

Published on 24 Nov 2015 - 8:55

207

Views

linear Diophantine equation with real coefficients

Published on 24 Nov 2015 - 20:43

63

Views

Prove diophantine equation $S^2+R^2+(r_1-r_2)^2 = 2R(r_1+r_2)$ has at most one solution

Published on 07 Apr 2026 - 8:46

1.6k

Views

Help solving $ax^2+by^2+cz^2+dxy+exz+fzy=0$ where $(x_0,y_0,z_0)$ is a known integral solution

Published on 01 Apr 2026 - 7:19

102

Views

For which $n,p$ does $\cfrac {5n^2-3n}{2}=2^p-1$

Published on 25 Nov 2015 - 14:25

67

Views

Number of solutions to Pell-type equation $k(x^2-2y^2) = d$

Published on 26 Nov 2015 - 18:08

562

Views

Are all Mordell equations $y^2=x^3+k$, for any integer $k$, solvable

Published on 27 Nov 2015 - 19:52

1.2k

Views

Find two solutions of $299x+247y=13$

Published on 28 Nov 2015 - 15:16

54

Views

Integer solutions $d = \frac{ab}{a + b + 2\sqrt{ab}}$

Published on 09 Apr 2026 - 16:51

83

Views

Finding values that make $xy=x+y+z$ true.

Published on 29 Nov 2015 - 5:21

2.5k

Views

Integer solutions of $x^3+y^3=z^3$ using methods of Algebraic Number Theory

Published on 29 Nov 2015 - 11:26

1.1k

Views

Exponential Diophantine equation $7^y + 2 = 3^x$

Published on 09 Apr 2026 - 8:05

97

Views

How to prove indirectly that there exist no positive integers $x$ and $y$ for which $x^2 - y^2 = 1$?

Published on 29 Nov 2015 - 22:07

96

Views

Given the conditions above, find when $x$, $y$, $z$ satisfy below: $ (x^2-1)(y+1)=\dfrac{z^2+1}{y-1}$

Published on 30 Nov 2015 - 1:41

81

Views

Do these Diophantine equations have solutions?

Published on 09 Apr 2026 - 8:54

List Question

Solution to a quadratic diophantine

linear Diophantine equation with real coefficients

Prove diophantine equation $S^2+R^2+(r_1-r_2)^2 = 2R(r_1+r_2)$ has at most one solution

Help solving $ax^2+by^2+cz^2+dxy+exz+fzy=0$ where $(x_0,y_0,z_0)$ is a known integral solution

For which $n,p$ does $\cfrac {5n^2-3n}{2}=2^p-1$

Number of solutions to Pell-type equation $k(x^2-2y^2) = d$

Are all Mordell equations $y^2=x^3+k$, for any integer $k$, solvable

Find two solutions of $299x+247y=13$

Integer solutions $d = \frac{ab}{a + b + 2\sqrt{ab}}$

Finding values that make $xy=x+y+z$ true.

Integer solutions of $x^3+y^3=z^3$ using methods of Algebraic Number Theory

Exponential Diophantine equation $7^y + 2 = 3^x$

How to prove indirectly that there exist no positive integers $x$ and $y$ for which $x^2 - y^2 = 1$?

Given the conditions above, find when $x$, $y$, $z$ satisfy below: $ (x^2-1)(y+1)=\dfrac{z^2+1}{y-1}$

Do these Diophantine equations have solutions?

Trending Questions

Popular # Hahtags

Popular Questions