Question

How prove this diophantine equation $(x^2-y)(y^2-x)=(x+y)^2$ have only three integer solution?

score 398 · Answer 1 · 2014-12-31 15:26:23

398

Views

How prove this diophantine equation $(x^2-y)(y^2-x)=(x+y)^2$ have only three integer solution?

Published on 31 Dec 2014 - 15:26

score 282 · Answer 2 · 2014-12-31 16:58:24

282

Views

Solving an equation for two primes

Published on 31 Dec 2014 - 16:58

score 278 · Answer 3 · 2015-01-01 10:23:10

278

Views

Show $1+x+(x^2/2!)+ \cdots + (x^n/n!)=0$ has no rational solutions for all $n>1$.

Published on 01 Jan 2015 - 10:23

score 199 · Answer 4 · 2015-01-02 17:16:45

199

Views

Pythagorean type diophantine equation.

Published on 02 Jan 2015 - 17:16

score 281 · Answer 5 · 2019-10-02 12:21:05

281

Views

Solving Diophantine equation with parameters

Published on 02 Oct 2019 - 12:21

score 68 · Answer 6 · 2019-10-06 15:46:41

68

Views

Diophantine equation Ion Cucurezeanu

Published on 06 Oct 2019 - 15:46

score 118 · Answer 7 · 2019-10-06 19:17:30

118

Views

Solve the equation $x! + y!+z!= 2^{v!}$

Published on 06 Oct 2019 - 19:17

score 194 · Answer 8 · 2019-10-08 06:49:26

194

Views

Finding parameter solutions for equations

Published on 08 Oct 2019 - 6:49

score 53 · Answer 9 · 2026-02-24 02:14:54

53

Views

If $T_n$ is the $n$-th triangular number, there are an infinite number of $a, b, c, d$ such that $T_n+T_{an+b} =(cn+d)^2 $ for all $n$.

Published on 24 Feb 2026 - 2:14

score 557 · Answer 10 · 2026-03-30 03:54:09

557

Views

Intuition behind Diophantine approximation: why do we express the bound as function of denominators?

Published on 30 Mar 2026 - 3:54

score 90 · Answer 11 · 2019-10-11 20:36:32

90

Views

Dickson's method for generating Pythagorean triples --- did him show/proove how he obtained his formulas?

Published on 11 Oct 2019 - 20:36

score 52 · Answer 12 · 2019-10-12 04:10:22

52

Views

The range of the solution of congruence equation. (Wilson’s theorem)

Published on 12 Oct 2019 - 4:10

score 556 · Answer 13 · 2019-10-12 07:36:59

556

Views

Show that $x^4-20200y^2=1$ has no solution in postive integers

Published on 12 Oct 2019 - 7:36

score 476 · Answer 14 · 2019-10-12 11:40:00

476

Views

Can $4\cdot n!-4n+1$ be a perfect square when $n>4$?

Published on 12 Oct 2019 - 11:40

score 37 · Answer 15 · 2019-10-12 13:18:00

37

Views

Conditional Equation with Sigma

Published on 12 Oct 2019 - 13:18

List Question

How prove this diophantine equation $(x^2-y)(y^2-x)=(x+y)^2$ have only three integer solution?

Solving an equation for two primes

Show $1+x+(x^2/2!)+ \cdots + (x^n/n!)=0$ has no rational solutions for all $n>1$.

Pythagorean type diophantine equation.

Solving Diophantine equation with parameters

Diophantine equation Ion Cucurezeanu

Solve the equation $x! + y!+z!= 2^{v!}$

Finding parameter solutions for equations

If $T_n$ is the $n$-th triangular number, there are an infinite number of $a, b, c, d$ such that $T_n+T_{an+b} =(cn+d)^2 $ for all $n$.

Intuition behind Diophantine approximation: why do we express the bound as function of denominators?

Dickson's method for generating Pythagorean triples --- did him show/proove how he obtained his formulas?

The range of the solution of congruence equation. (Wilson’s theorem)

Show that $x^4-20200y^2=1$ has no solution in postive integers

Can $4\cdot n!-4n+1$ be a perfect square when $n>4$?

Conditional Equation with Sigma

Trending Questions

Popular # Hahtags

Popular Questions