Question

For what values of $c$ does $8x + 5y = c$ have exactly one strictly positive integer solution?

score 1.2k · Answer 1 · 2026-04-10 16:31:57

1.2k

Views

For what values of $c$ does $8x + 5y = c$ have exactly one strictly positive integer solution?

Published on 10 Apr 2026 - 16:31

score 208 · Answer 2 · 2026-04-11 09:25:41

208

Views

Reducing radical congruence to polynomial congruence

Published on 11 Apr 2026 - 9:25

score 284 · Answer 3 · 2026-04-09 12:44:29

284

Views

What kind of methods there are to solve a Diophantine equation from IMO longlist?

Published on 09 Apr 2026 - 12:44

score 489 · Answer 4 · 2026-04-15 21:13:29

489

Views

Is it possible that $(x+2)(x+1)x=3(y+2)(y+1)y$ for positive integers $x$ and $y$?

Published on 15 Apr 2026 - 21:13

score 77 · Answer 5 · 2026-04-14 11:47:38

77

Views

A question on integer values of an expression in positive rational variables

Published on 14 Apr 2026 - 11:47

score 226 · Answer 6 · 2026-04-16 15:54:31

226

Views

Find all the solutions of $x^2+7=2^n$.

Published on 16 Apr 2026 - 15:54

score 388 · Answer 7 · 2026-03-25 09:46:23

388

Views

Heronian isosceles triangles

Published on 25 Mar 2026 - 9:46

score 225 · Answer 8 · 2026-04-17 04:00:40

225

Views

Solve $x^2 + 8 = 3^n$, where $x\in\mathbb N$.

Published on 17 Apr 2026 - 4:00

score 262 · Answer 9 · 2026-03-27 00:55:28

262

Views

TI83+. Math-> Solver. Why does it give different solutions?

Published on 27 Mar 2026 - 0:55

score 393 · Answer 10 · 2026-04-10 00:16:27

393

Views

Can the equation $ax^2+by^2=cz^2$ be solved in integers (excluding trivial solutions)?

Published on 10 Apr 2026 - 0:16

score 268 · Answer 11 · 2026-04-16 21:44:34

268

Views

Is this a valid proof that $\{ax + by|x,y \in \Bbb Z\}= \{n\times \gcd(a, b) |n\in \Bbb Z\}$?

Published on 16 Apr 2026 - 21:44

score 552 · Answer 12 · 2026-04-10 11:41:15

552

Views

Linear recurrence solution to Diophantine equation

Published on 10 Apr 2026 - 11:41

score 185 · Answer 13 · 2026-04-16 16:24:00

185

Views

Sequential sums $1+2+\cdots+N$ that are squares

Published on 16 Apr 2026 - 16:24

score 1.2k · Answer 14 · 2026-04-10 21:58:16

1.2k

Views

System of quadratic Diophantine equations

Published on 10 Apr 2026 - 21:58

score 11.4k · Answer 15 · 2026-04-15 10:58:43

11.4k

Views

Find all solutions of ${\frac {1} {x} } + {\frac {1} {y} } +{\frac {1} {z}}=1$, where $x$, $y$ and $z$ are positive integers

Published on 15 Apr 2026 - 10:58

List Question

For what values of $c$ does $8x + 5y = c$ have exactly one strictly positive integer solution?

Reducing radical congruence to polynomial congruence

What kind of methods there are to solve a Diophantine equation from IMO longlist?

Is it possible that $(x+2)(x+1)x=3(y+2)(y+1)y$ for positive integers $x$ and $y$?

A question on integer values of an expression in positive rational variables

Find all the solutions of $x^2+7=2^n$.

Heronian isosceles triangles

Solve $x^2 + 8 = 3^n$, where $x\in\mathbb N$.

TI83+. Math-> Solver. Why does it give different solutions?

Can the equation $ax^2+by^2=cz^2$ be solved in integers (excluding trivial solutions)?

Is this a valid proof that $\{ax + by|x,y \in \Bbb Z\}= \{n\times \gcd(a, b) |n\in \Bbb Z\}$?

Linear recurrence solution to Diophantine equation

Sequential sums $1+2+\cdots+N$ that are squares

System of quadratic Diophantine equations

Find all solutions of ${\frac {1} {x} } + {\frac {1} {y} } +{\frac {1} {z}}=1$, where $x$, $y$ and $z$ are positive integers

Trending Questions

Popular # Hahtags

Popular Questions