Question

Three-variable modular diophantine problem - what is the set of solutions? Is there any matrix ansatz meaningful?

score 84 · Answer 1 · 2019-10-22 11:05:25

84

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Three-variable modular diophantine problem - what is the set of solutions? Is there any matrix ansatz meaningful?

Published on 22 Oct 2019 - 11:05

score 186 · Answer 2 · 2026-03-28 03:26:29

186

Views

Diophantine equation $(a-b)^2+(b-c)^2+(c-a)^2=N^2$

Published on 28 Mar 2026 - 3:26

score 136 · Answer 3 · 2026-03-28 05:29:00

136

Views

Are there integer solutions for $y$ when $y^2 = x^3 +0x + 7$?

Published on 28 Mar 2026 - 5:29

score 86 · Answer 4 · 2019-10-26 07:30:00

86

Views

Modular Eqn-system with $3$ unknowns $(r,s,t)$: formula for the maximal solution $t$ (given $r$)?

Published on 26 Oct 2019 - 7:30

score 56 · Answer 5 · 2019-10-26 13:27:32

56

Views

What is the simplest method to solve the following system?

Published on 26 Oct 2019 - 13:27

score 240 · Answer 6 · 2019-10-26 20:24:23

240

Views

How can I find the integers $x,y$?

Published on 26 Oct 2019 - 20:24

score 486 · Answer 7 · 2019-10-27 17:40:30

486

Views

Find the smallest integer $n>1$ such that $\frac{1}{n}\left(1+2^2+3^2+\ldots+n^2\right)$ is a perfect square

Published on 27 Oct 2019 - 17:40

score 130 · Answer 8 · 2019-10-27 19:10:37

130

Views

Find all integer solutions of $y^2=1+x+x^2+x^3+x^4$

Published on 27 Oct 2019 - 19:10

score 69 · Answer 9 · 2019-10-28 17:30:16

69

Views

Diophantine equation, help needed

Published on 28 Oct 2019 - 17:30

score 195 · Answer 10 · 2019-10-29 03:25:30

195

Views

Find all integer solutions of $y^2 = x^5 - 15x^4 + 10x^2 + 4x + 3$, or prove that none exist

Published on 29 Oct 2019 - 3:25

score 210 · Answer 11 · 2019-10-29 08:39:38

210

Views

Solutions to a quadratic diophantine equation $17x^2 + 29y^2 = 41z^2$

Published on 29 Oct 2019 - 8:39

score 141 · Answer 12 · 2026-03-27 18:15:02

141

Views

How to minimize two variables in a set of equations?

Published on 27 Mar 2026 - 18:15

score 79 · Answer 13 · 2019-10-31 10:53:33

79

Views

Diophantine equation $a^n-b^n=8$

Published on 31 Oct 2019 - 10:53

score 103 · Answer 14 · 2026-03-25 21:54:06

103

Views

If $q^k n^2$ is an odd perfect number with special prime $q$, then can $n^2 - q^k$ be a cube?

Published on 25 Mar 2026 - 21:54

score 793 · Answer 15 · 2019-11-01 21:41:50

793

Views

Prove $\frac{\text{Area}_1}{c_1^2}+\frac{\text{Area}_2}{c_2^2}\neq \frac{\text{Area}_3}{c_3^2}$ for all primitive Pythagorean triples

Published on 01 Nov 2019 - 21:41

List Question

Three-variable modular diophantine problem - what is the set of solutions? Is there any matrix ansatz meaningful?

Diophantine equation $(a-b)^2+(b-c)^2+(c-a)^2=N^2$

Are there integer solutions for $y$ when $y^2 = x^3 +0x + 7$?

Modular Eqn-system with $3$ unknowns $(r,s,t)$: formula for the maximal solution $t$ (given $r$)?

What is the simplest method to solve the following system?

How can I find the integers $x,y$?

Find the smallest integer $n>1$ such that $\frac{1}{n}\left(1+2^2+3^2+\ldots+n^2\right)$ is a perfect square

Find all integer solutions of $y^2=1+x+x^2+x^3+x^4$

Diophantine equation, help needed

Find all integer solutions of $y^2 = x^5 - 15x^4 + 10x^2 + 4x + 3$, or prove that none exist

Solutions to a quadratic diophantine equation $17x^2 + 29y^2 = 41z^2$

How to minimize two variables in a set of equations?

Diophantine equation $a^n-b^n=8$

If $q^k n^2$ is an odd perfect number with special prime $q$, then can $n^2 - q^k$ be a cube?

Prove $\frac{\text{Area}_1}{c_1^2}+\frac{\text{Area}_2}{c_2^2}\neq \frac{\text{Area}_3}{c_3^2}$ for all primitive Pythagorean triples

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