Question

Find all such positive integers $x(>1), y(>1)$ and $z$ so that $x! \cdot y! =z!$ holds.

score 83 · Answer 1 · 2026-03-30 13:03:59

83

Views

Find all such positive integers $x(>1), y(>1)$ and $z$ so that $x! \cdot y! =z!$ holds.

Published on 30 Mar 2026 - 13:03

score 117 · Answer 2 · 2020-07-13 07:44:48

117

Views

Is this proof of special case of Fermat's last theorem correct?

Published on 13 Jul 2020 - 7:44

score 224 · Answer 3 · 2020-07-13 22:30:35

224

Views

When does $(xz+1)(yz+1)=az^{3}+1 $ have finitely many solutions in positive integers?

Published on 13 Jul 2020 - 22:30

score 263 · Answer 4 · 2026-03-31 16:26:56

263

Views

Mordell equation with prime-squared constant

Published on 31 Mar 2026 - 16:26

score 459 · Answer 5 · 2026-03-29 18:33:27

459

Views

On the diophantine equation $x^{m-1}(x+1)=y^{n-1}(y+1)$ with $x>y$, over integers greater or equal than two

Published on 29 Mar 2026 - 18:33

score 176 · Answer 6 · 2026-04-01 09:16:25

176

Views

Solving $n(4n+3)=2^m-1$ in positive integers

Published on 01 Apr 2026 - 9:16

score 293 · Answer 7 · 2020-07-16 09:52:07

293

Views

Pell's equation $x^2-dy^2=4$ always has solutions

Published on 16 Jul 2020 - 9:52

score 1k · Answer 8 · 2026-02-23 03:57:38

1k

Views

Linear diophantine equation of n variables.

Published on 23 Feb 2026 - 3:57

score 179 · Answer 9 · 2020-07-17 11:09:09

179

Views

Do there exist any three relatively prime natural numbers so that the square of each of them is divisible by the sum of the two remaining numbers?

Published on 17 Jul 2020 - 11:09

score 205 · Answer 10 · 2026-03-27 20:19:39

205

Views

Recursive equations for quadratic diophantine equations.

Published on 27 Mar 2026 - 20:19

score 101 · Answer 11 · 2020-07-17 13:18:43

101

Views

Root of quadratic equation

Published on 17 Jul 2020 - 13:18

score 52 · Answer 12 · 2026-03-25 12:50:03

52

Views

What is the "right" name for this Diophantine equation? $ a_1 x_1 + a_2 x_2 + \dots + a_k x_k \equiv n\pmod h$

Published on 25 Mar 2026 - 12:50

score 63 · Answer 13 · 2020-07-19 12:44:57

63

Views

Given a polynomial $P$ with integer coefficients taking certain values, find the largest number of integers that satisfy the equation $P(P(x)) = x^2$

Published on 19 Jul 2020 - 12:44

score 190 · Answer 14 · 2020-07-19 14:08:00

190

Views

Find all $x,y$ such that $x^3+5y^3=(a^3+5b^3)^3$.

Published on 19 Jul 2020 - 14:08

score 97 · Answer 15 · 2020-07-20 21:01:32

97

Views

calculate the Integer solutions of an equation

Published on 20 Jul 2020 - 21:01

List Question

Find all such positive integers $x(>1), y(>1)$ and $z$ so that $x! \cdot y! =z!$ holds.

Is this proof of special case of Fermat's last theorem correct?

When does $(xz+1)(yz+1)=az^{3}+1 $ have finitely many solutions in positive integers?

Mordell equation with prime-squared constant

On the diophantine equation $x^{m-1}(x+1)=y^{n-1}(y+1)$ with $x>y$, over integers greater or equal than two

Solving $n(4n+3)=2^m-1$ in positive integers

Pell's equation $x^2-dy^2=4$ always has solutions

Linear diophantine equation of n variables.

Do there exist any three relatively prime natural numbers so that the square of each of them is divisible by the sum of the two remaining numbers?

Recursive equations for quadratic diophantine equations.

Root of quadratic equation

What is the "right" name for this Diophantine equation? $ a_1 x_1 + a_2 x_2 + \dots + a_k x_k \equiv n\pmod h$

Given a polynomial $P$ with integer coefficients taking certain values, find the largest number of integers that satisfy the equation $P(P(x)) = x^2$

Find all $x,y$ such that $x^3+5y^3=(a^3+5b^3)^3$.

calculate the Integer solutions of an equation

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