Question

Solution of $\large\binom{x}{n}+\binom{y}{n}=\binom{z}{n}$ with $n\geq 3$

score 207 · Answer 1 · 2014-05-13 10:12:09

207

Views

Solution of $\large\binom{x}{n}+\binom{y}{n}=\binom{z}{n}$ with $n\geq 3$

Published on 13 May 2014 - 10:12

score 970 · Answer 2 · 2014-05-14 12:44:47

970

Views

Curves triangular numbers.

Published on 14 May 2014 - 12:44

score 216 · Answer 3 · 2014-05-15 05:57:54

216

Views

Random nonegative solution of multivariate linear Diophantine equation

Published on 15 May 2014 - 5:57

score 130 · Answer 4 · 2014-05-17 01:13:43

130

Views

Is there any solution to this quadratic Diophantine equation?

Published on 17 May 2014 - 1:13

score 69 · Answer 5 · 2014-05-17 18:38:19

69

Views

Equation involving power of two

Published on 17 May 2014 - 18:38

score 195 · Answer 6 · 2014-05-18 16:51:05

195

Views

non-negative solutions with upper boundary, in diophantine equation

Published on 18 May 2014 - 16:51

score 2.7k · Answer 7 · 2014-05-20 07:25:36

2.7k

Views

Finding integral solutions to the equation $x^4-ax^3-bx^2-cx-d=0$

Published on 20 May 2014 - 7:25

score 176 · Answer 8 · 2014-05-21 13:36:14

176

Views

Integral points on varieties and solutions to Diophantine equations

Published on 21 May 2014 - 13:36

score 63 · Answer 9 · 2014-05-22 02:03:00

63

Views

Positive Integer points of $f(x)=\frac{1}{c-\frac{1}{x}}$, where c is fixed

Published on 22 May 2014 - 2:03

score 3.9k · Answer 10 · 2026-03-25 11:16:25

3.9k

Views

To find all $n$ such that $(n-1)!+1$ is a perfect power of $n$

Published on 25 Mar 2026 - 11:16

score 87 · Answer 11 · 2026-03-25 14:22:39

87

Views

Why the proof of Catalan's conjecture is not easily generalizable?

Published on 25 Mar 2026 - 14:22

score 176 · Answer 12 · 2014-05-24 11:03:00

176

Views

The equation $X^{n} + Y^{n} = Z^{n}$ , where $ n \geq 3$ is a natural number, has no solutions at all where $X,Y,Z$ are intergers.

Published on 24 May 2014 - 11:03

score 177 · Answer 13 · 2014-05-24 19:56:03

177

Views

How can we prove that this equation cannot be solved?

Published on 24 May 2014 - 19:56

score 607 · Answer 14 · 2014-05-25 07:03:05

607

Views

Solve $1+2^x+2^{2x+1}=y^2$ for integers $x,y>0\,$ [IMO 2006 P4]

Published on 25 May 2014 - 7:03

score 423 · Answer 15 · 2014-05-26 04:39:11

423

Views

Finding all integral solutions of $x^4+y^4+z^4-w^4=1995$

Published on 26 May 2014 - 4:39

List Question

Solution of $\large\binom{x}{n}+\binom{y}{n}=\binom{z}{n}$ with $n\geq 3$

Curves triangular numbers.

Random nonegative solution of multivariate linear Diophantine equation

Is there any solution to this quadratic Diophantine equation?

Equation involving power of two

non-negative solutions with upper boundary, in diophantine equation

Finding integral solutions to the equation $x^4-ax^3-bx^2-cx-d=0$

Integral points on varieties and solutions to Diophantine equations

Positive Integer points of $f(x)=\frac{1}{c-\frac{1}{x}}$, where c is fixed

To find all $n$ such that $(n-1)!+1$ is a perfect power of $n$

Why the proof of Catalan's conjecture is not easily generalizable?

The equation $X^{n} + Y^{n} = Z^{n}$ , where $ n \geq 3$ is a natural number, has no solutions at all where $X,Y,Z$ are intergers.

How can we prove that this equation cannot be solved?

Solve $1+2^x+2^{2x+1}=y^2$ for integers $x,y>0\,$ [IMO 2006 P4]

Finding all integral solutions of $x^4+y^4+z^4-w^4=1995$

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