Question

How find this diophantine equation $(3x-1)^2+2=(2y^2-4y)^2+y(2y-1)^2-6y$ integer solution

score 160 · Answer 1 · 2014-12-20 02:43:34

160

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How find this diophantine equation $(3x-1)^2+2=(2y^2-4y)^2+y(2y-1)^2-6y$ integer solution

Published on 20 Dec 2014 - 2:43

score 111 · Answer 2 · 2014-12-21 07:30:33

111

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Diophantine equation : two products of linear factors differ by a constant

Published on 21 Dec 2014 - 7:30

score 59 · Answer 3 · 2014-12-21 08:03:11

59

Views

Finding solutions of $z^2=x^2+y^2$ where $\gcd(z, y) =1$

Published on 21 Dec 2014 - 8:03

score 187 · Answer 4 · 2014-12-22 20:16:27

187

Views

System of linear diophantine modular inequalities

Published on 22 Dec 2014 - 20:16

score 190 · Answer 5 · 2014-12-24 13:57:20

190

Views

For a Diophantine equation $x^2+py^2=z^2$ show that $z$ is necessarily odd.

Published on 24 Dec 2014 - 13:57

score 136 · Answer 6 · 2026-03-26 11:06:45

136

Views

Sum of $2$ equal squares also a square

Published on 26 Mar 2026 - 11:06

score 97 · Answer 7 · 2014-12-27 05:17:23

97

Views

Equation with three variables

Published on 27 Dec 2014 - 5:17

score 90 · Answer 8 · 2014-12-27 15:08:58

90

Views

Diophantine equation - II

Published on 27 Dec 2014 - 15:08

score 292 · Answer 9 · 2014-12-27 18:04:46

292

Views

Characterize the solution of a Diophantine equation $x^2+py^2=z^2$

Published on 27 Dec 2014 - 18:04

score 544 · Answer 10 · 2026-03-30 18:17:49

544

Views

Finding solutions to $y^2 = x^3 - 27$

Published on 30 Mar 2026 - 18:17

score 5.1k · Answer 11 · 2014-12-29 01:26:20

5.1k

Views

Chicken Problem from Terry Tao's blog (system of Diophantine equations)

Published on 29 Dec 2014 - 1:26

score 525 · Answer 12 · 2014-12-29 01:52:04

525

Views

Every natural number is representable as $\sum_{k=1}^{n} \pm k^5$ ... if somebody proves it for 240 integers

Published on 29 Dec 2014 - 1:52

score 247 · Answer 13 · 2014-12-30 06:48:43

247

Views

AMC Putnam 1986 № B2

Published on 30 Dec 2014 - 6:48

score 123 · Answer 14 · 2014-12-30 13:03:20

123

Views

How to find all positive integers $a,b,c,d$ with $a\le\ b\le c$ such that $a!+b!+c!=3^d$ ?

Published on 30 Dec 2014 - 13:03

score 132 · Answer 15 · 2014-12-30 16:51:40

132

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Diophantine equation $1 + \sum_{j=1}^{n-1}\left(j \prod_{k=1}^j x_k\right) = \prod_{j=1}^n x_j$

Published on 30 Dec 2014 - 16:51

List Question

How find this diophantine equation $(3x-1)^2+2=(2y^2-4y)^2+y(2y-1)^2-6y$ integer solution

Diophantine equation : two products of linear factors differ by a constant

Finding solutions of $z^2=x^2+y^2$ where $\gcd(z, y) =1$

System of linear diophantine modular inequalities

For a Diophantine equation $x^2+py^2=z^2$ show that $z$ is necessarily odd.

Sum of $2$ equal squares also a square

Equation with three variables

Diophantine equation - II

Characterize the solution of a Diophantine equation $x^2+py^2=z^2$

Finding solutions to $y^2 = x^3 - 27$

Chicken Problem from Terry Tao's blog (system of Diophantine equations)

Every natural number is representable as $\sum_{k=1}^{n} \pm k^5$ ... if somebody proves it for 240 integers

AMC Putnam 1986 № B2

How to find all positive integers $a,b,c,d$ with $a\le\ b\le c$ such that $a!+b!+c!=3^d$ ?

Diophantine equation $1 + \sum_{j=1}^{n-1}\left(j \prod_{k=1}^j x_k\right) = \prod_{j=1}^n x_j$

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