List questions from diophantine-equations

Published on 05 Dec 2016 - 16:20

63

Views

Given a series defined by recursion. Prove that there are integers $S$ and $T$ such that $a_{n+1} = S a_n + T a_{n-1}$

Published on 31 Mar 2026 - 22:28

286

Views

Solutions of $x^3 + (x+4)^2 = y^2$

Published on 27 Mar 2026 - 16:39

126

Views

When $a^2x^2+2bx+c$ is a perfect square?

Published on 25 Mar 2026 - 23:36

50

Views

Solving diophantine equation with coefficients

Published on 08 Dec 2016 - 15:58

239

Views

What are integer solutions to $x^2+7=y^3$

Published on 01 Apr 2026 - 6:29

1.9k

Views

How does modular arithmetic work - Fermat's last theorem near misses?

Published on 08 Dec 2016 - 18:52

2.3k

Views

A very different property of primitive Pythagorean triplets: Can number be in more than two of them?

Published on 26 Mar 2026 - 22:55

205

Views

Integer solutions of $n^2+n = 2x^2+2x$

Published on 09 Dec 2016 - 13:25

110

Views

Integral solutions to $1\times2+2\times3+\cdots+m\times(m+1)=n\times(n+1)$.

Published on 01 Apr 2026 - 6:31

241

Views

On $119^2+120^2=13^4\,$ and $p=239$

Published on 26 Mar 2026 - 22:57

1k

Views

Number of solutions of $x_1+2x_2+\cdots+kx_k=n$?

Published on 25 Mar 2026 - 14:36

63

Views

On the Elsenhans-Jahnel solution to $a^4+2b^4 = c^4+4d^4$

Published on 25 Mar 2026 - 12:27

297

Views

How to prove this nice $10$th power identity for $x_1^6+x_2^6+x_3^6 =y_1^6+y_2^6+y_3^6$?

Published on 11 Dec 2016 - 14:29

55

Views

On parameterizing $x^3+y^3+z^3=2$ and higher power versions

Published on 11 Dec 2016 - 15:13

List Question

Pairs of $(p,q)$ such that $p^2 + 1 = 2 q^2$?

Given a series defined by recursion. Prove that there are integers $S$ and $T$ such that $a_{n+1} = S a_n + T a_{n-1}$

Solutions of $x^3 + (x+4)^2 = y^2$

When $a^2x^2+2bx+c$ is a perfect square?

Solving diophantine equation with coefficients

What are integer solutions to $x^2+7=y^3$

How does modular arithmetic work - Fermat's last theorem near misses?

A very different property of primitive Pythagorean triplets: Can number be in more than two of them?

Integer solutions of $n^2+n = 2x^2+2x$

Integral solutions to $1\times2+2\times3+\cdots+m\times(m+1)=n\times(n+1)$.

On $119^2+120^2=13^4\,$ and $p=239$

Number of solutions of $x_1+2x_2+\cdots+kx_k=n$?

On the Elsenhans-Jahnel solution to $a^4+2b^4 = c^4+4d^4$

How to prove this nice $10$th power identity for $x_1^6+x_2^6+x_3^6 =y_1^6+y_2^6+y_3^6$?

On parameterizing $x^3+y^3+z^3=2$ and higher power versions

Trending Questions

Popular # Hahtags

Popular Questions