Question

What is the implication of a particular choice of $k(\epsilon)$ for the ABC Conjecture.

score 176 · Answer 1 · 2026-03-28 11:51:26

176

Views

What is the implication of a particular choice of $k(\epsilon)$ for the ABC Conjecture.

Published on 28 Mar 2026 - 11:51

score 117 · Answer 2 · 2026-03-25 07:49:30

117

Views

How many $c$ for which equation $ax+(a + 1)y=c$ will have no positive integer solution?

Published on 25 Mar 2026 - 7:49

score 194 · Answer 3 · 2026-03-28 12:14:42

194

Views

Solve $x^2y^2 - 4x^2y + y^3 + 4x^2 - 3y^2 + 1 = 0$ over the integers.

Published on 28 Mar 2026 - 12:14

score 769 · Answer 4 · 2026-03-27 21:23:30

769

Views

Values without integer solutions in linear Diophantine Equation

Published on 27 Mar 2026 - 21:23

score 613 · Answer 5 · 2026-03-25 09:26:22

613

Views

$A^X+B^Y=C^Z\pm 1$ Beal's conjecture "almost" solutions

Published on 25 Mar 2026 - 9:26

score 94 · Answer 6 · 2019-06-10 06:01:35

94

Views

Solve $(y^2 + xy)(x^2 - x + 1) = 3x - 1$ over the integers.

Published on 10 Jun 2019 - 6:01

score 129 · Answer 7 · 2026-03-25 13:58:00

129

Views

Diophantine $\frac{a^2 + b^2}{ab + 1} = \frac{c^2}{d^2} $

Published on 25 Mar 2026 - 13:58

score 110 · Answer 8 · 2019-06-11 14:00:37

110

Views

Five different positive non-integer rational numbers such that increased by 1 the product of any two numbers is a square of some rational number

Published on 11 Jun 2019 - 14:00

score 215 · Answer 9 · 2019-06-11 18:22:50

215

Views

please help me to solve the following diophantine equation

Published on 11 Jun 2019 - 18:22

score 83 · Answer 10 · 2026-03-25 07:43:31

83

Views

Counting number non-reachable integer solutions of a Linear Diophantine Equation.

Published on 25 Mar 2026 - 7:43

score 716 · Answer 11 · 2026-03-27 20:21:00

716

Views

When sum of fraction is the same as the fraction made by the sum of numerators and sum of denominators

Published on 27 Mar 2026 - 20:21

score 73 · Answer 12 · 2026-03-26 14:34:45

73

Views

For $x,y,n\in N$, find the smallest $n$ for which there exist four different pairs of solutions $(x,y)$ of $5x+6y=n$

Published on 26 Mar 2026 - 14:34

score 226 · Answer 13 · 2026-03-25 09:22:40

226

Views

Integer solutions to $2^x-1=3^y$.

Published on 25 Mar 2026 - 9:22

score 112 · Answer 14 · 2026-03-26 12:53:55

112

Views

Number of nonnegative solutions of equation ax+by=n

Published on 26 Mar 2026 - 12:53

score 130 · Answer 15 · 2026-03-25 13:51:08

130

Views

$ f_3(a,b) $ always a cube integer?

Published on 25 Mar 2026 - 13:51

List Question

What is the implication of a particular choice of $k(\epsilon)$ for the ABC Conjecture.

How many $c$ for which equation $ax+(a + 1)y=c$ will have no positive integer solution?

Solve $x^2y^2 - 4x^2y + y^3 + 4x^2 - 3y^2 + 1 = 0$ over the integers.

Values without integer solutions in linear Diophantine Equation

$A^X+B^Y=C^Z\pm 1$ Beal's conjecture "almost" solutions

Solve $(y^2 + xy)(x^2 - x + 1) = 3x - 1$ over the integers.

Diophantine $\frac{a^2 + b^2}{ab + 1} = \frac{c^2}{d^2} $

Five different positive non-integer rational numbers such that increased by 1 the product of any two numbers is a square of some rational number

please help me to solve the following diophantine equation

Counting number non-reachable integer solutions of a Linear Diophantine Equation.

When sum of fraction is the same as the fraction made by the sum of numerators and sum of denominators

For $x,y,n\in N$, find the smallest $n$ for which there exist four different pairs of solutions $(x,y)$ of $5x+6y=n$

Integer solutions to $2^x-1=3^y$.

Number of nonnegative solutions of equation ax+by=n

$ f_3(a,b) $ always a cube integer?

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