Question

How many quadruples of positive integers $(a,b,c,d)$ have property $ab + bc + cd + da = 2016$?

score 763 · Answer 1 · 2017-02-16 00:52:19

763

Views

How many quadruples of positive integers $(a,b,c,d)$ have property $ab + bc + cd + da = 2016$?

Published on 16 Feb 2017 - 0:52

score 69 · Answer 2 · 2026-03-27 07:49:44

69

Views

$(x,y) \in \mathbb Z \times\mathbb Z$ with $336x+378y=\gcd(336,378)$

Published on 27 Mar 2026 - 7:49

score 198 · Answer 3 · 2017-02-16 21:43:05

198

Views

$x^2 + y^5 = 2015^{17}$

Published on 16 Feb 2017 - 21:43

score 32 · Answer 4 · 2017-02-17 00:17:11

32

Views

How to solve simple Diophantine equation coming from solutions in modulos.

Published on 17 Feb 2017 - 0:17

score 156 · Answer 5 · 2017-02-17 10:34:46

156

Views

$a_2^{2} + a_3^{3} + ... + a_n^{n} = a_{n+1}^{n+1}$

Published on 17 Feb 2017 - 10:34

score 94 · Answer 6 · 2017-02-18 10:26:26

94

Views

How to solve this for integers $(x^2 + 4)(y^2 + 1) = 8xy$

Published on 18 Feb 2017 - 10:26

score 52 · Answer 7 · 2017-02-19 12:43:11

52

Views

Number of Solutions of $\sum_{i=1}^{n} x_i^{c}= \sum_{j=1}^{n} y_j^{c} $

Published on 19 Feb 2017 - 12:43

score 227 · Answer 8 · 2026-04-01 11:11:25

227

Views

Impossible Diophantine equation.

Published on 01 Apr 2026 - 11:11

score 432 · Answer 9 · 2026-03-30 11:58:46

432

Views

Mathematics Number Theory Proof: Prove that there are no integers $a$ and $b$ such that: $a^2-3b^2 = -1$

Published on 30 Mar 2026 - 11:58

score 101 · Answer 10 · 2017-02-21 10:35:01

101

Views

Corollary to the Rational Distance Problem; Finding a certain point in the plane satisfying certain properties

Published on 21 Feb 2017 - 10:35

score 738 · Answer 11 · 2017-02-21 10:49:33

738

Views

The Solution of the Diophantine Equation $x^2+3y^2$=$z^2$

Published on 21 Feb 2017 - 10:49

score 100 · Answer 12 · 2026-03-27 13:20:22

100

Views

When is a solution of $ax^2+bxy+cy^2=1$ a convergent of a root of $ax^2+bx+c$?

Published on 27 Mar 2026 - 13:20

score 808 · Answer 13 · 2017-02-22 13:40:20

808

Views

Solve $x^2-y^2=2xyz$

Published on 22 Feb 2017 - 13:40

score 132 · Answer 14 · 2017-02-22 19:17:54

132

Views

Zero sum of four cubes in K[X]

Published on 22 Feb 2017 - 19:17

score 78 · Answer 15 · 2017-02-23 09:48:17

78

Views

Find the integral solutions for the following diophantine equation: $85 + 1156k = m^2$

Published on 23 Feb 2017 - 9:48

List Question

How many quadruples of positive integers $(a,b,c,d)$ have property $ab + bc + cd + da = 2016$?

$(x,y) \in \mathbb Z \times\mathbb Z$ with $336x+378y=\gcd(336,378)$

$x^2 + y^5 = 2015^{17}$

How to solve simple Diophantine equation coming from solutions in modulos.

$a_2^{2} + a_3^{3} + ... + a_n^{n} = a_{n+1}^{n+1}$

How to solve this for integers $(x^2 + 4)(y^2 + 1) = 8xy$

Number of Solutions of $\sum_{i=1}^{n} x_i^{c}= \sum_{j=1}^{n} y_j^{c} $

Impossible Diophantine equation.

Mathematics Number Theory Proof: Prove that there are no integers $a$ and $b$ such that: $a^2-3b^2 = -1$

Corollary to the Rational Distance Problem; Finding a certain point in the plane satisfying certain properties

The Solution of the Diophantine Equation $x^2+3y^2$=$z^2$

When is a solution of $ax^2+bxy+cy^2=1$ a convergent of a root of $ax^2+bx+c$?

Solve $x^2-y^2=2xyz$

Zero sum of four cubes in K[X]

Find the integral solutions for the following diophantine equation: $85 + 1156k = m^2$

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