Question

Frobenius number of a set of integers in an arithmetic sequence

score 276 · Answer 1 · 2026-04-15 22:47:38

276

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Frobenius number of a set of integers in an arithmetic sequence

Published on 15 Apr 2026 - 22:47

score 119 · Answer 2 · 2026-04-17 08:03:28

119

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The Diophantine Equation $x^2 - y^2 - z^2 = d$

Published on 17 Apr 2026 - 8:03

score 56 · Answer 3 · 2026-04-09 14:31:23

56

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Finding solutions of diophantine equation

Published on 09 Apr 2026 - 14:31

score 380 · Answer 4 · 2026-04-11 04:04:13

380

Views

Second Degree Diophantine Equation, When exists solutions?

Published on 11 Apr 2026 - 4:04

score 141 · Answer 5 · 2026-04-14 09:50:26

141

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Sets with the same sum and product as the first $n$ positive integers

Published on 14 Apr 2026 - 9:50

score 617 · Answer 6 · 2026-04-15 03:25:38

617

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Prove that the diophantine equation $(xz+1)(yz+1)=az^{k}+1$ has infinitely many solutions in positive integers.

Published on 15 Apr 2026 - 3:25

score 566 · Answer 7 · 2026-04-13 18:17:57

566

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Prove that the diophantine equation $(xz+1)(yz+1)=az^{3} +1$ has no solutions in positive integers $x, y, z$ with $z>a^{2} +2a$.

Published on 13 Apr 2026 - 18:17

score 2k · Answer 8 · 2026-04-17 08:17:49

2k

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Find $x, y$, and $z$ such that $x^3+y^3+z^3=k$, for each $k$ from $1$ to $100.$

Published on 17 Apr 2026 - 8:17

score 68 · Answer 9 · 2026-04-15 23:15:44

68

Views

$6(m + 1)(n − 1), 6 + (m − 1)(n + 1)$ and $(m − 2)(n + 2)$ are simultaneously perfect cubes.

Published on 15 Apr 2026 - 23:15

score 115 · Answer 10 · 2026-04-11 22:27:28

115

Views

Analyzing a Diophantine equation: $A^k + 1 = B!$ Efficient way to solve.

Published on 11 Apr 2026 - 22:27

score 191 · Answer 11 · 2026-04-14 16:57:33

191

Views

"Fermat's Last Theorem": analogue for binomial coefficients, combinatorial interpretation, parametrization

Published on 14 Apr 2026 - 16:57

score 124 · Answer 12 · 2026-04-15 06:25:41

124

Views

Find the integer solutions of $y^x=x^{50}$

Published on 15 Apr 2026 - 6:25

score 145 · Answer 13 · 2026-04-09 21:39:02

145

Views

Are there easier ways to solve this integer equation than brute-force

Published on 09 Apr 2026 - 21:39

score 52 · Answer 14 · 2026-04-15 07:15:07

52

Views

What is the genral solution to $x+3y=8+6k$ in this diophantine equation?

Published on 15 Apr 2026 - 7:15

score 108 · Answer 15 · 2026-04-16 04:27:53

108

Views

Find all integer solutions for $x^2+y^2<a$

Published on 16 Apr 2026 - 4:27

List Question

Frobenius number of a set of integers in an arithmetic sequence

The Diophantine Equation $x^2 - y^2 - z^2 = d$

Finding solutions of diophantine equation

Second Degree Diophantine Equation, When exists solutions?

Sets with the same sum and product as the first $n$ positive integers

Prove that the diophantine equation $(xz+1)(yz+1)=az^{k}+1$ has infinitely many solutions in positive integers.

Prove that the diophantine equation $(xz+1)(yz+1)=az^{3} +1$ has no solutions in positive integers $x, y, z$ with $z>a^{2} +2a$.

Find $x, y$, and $z$ such that $x^3+y^3+z^3=k$, for each $k$ from $1$ to $100.$

$6(m + 1)(n − 1), 6 + (m − 1)(n + 1)$ and $(m − 2)(n + 2)$ are simultaneously perfect cubes.

Analyzing a Diophantine equation: $A^k + 1 = B!$ Efficient way to solve.

"Fermat's Last Theorem": analogue for binomial coefficients, combinatorial interpretation, parametrization

Find the integer solutions of $y^x=x^{50}$

Are there easier ways to solve this integer equation than brute-force

What is the genral solution to $x+3y=8+6k$ in this diophantine equation?

Find all integer solutions for $x^2+y^2<a$

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