Question

How to solve the problem that determines the age of Diophantus?

score 2.3k · Answer 1 · 2026-04-11 00:07:27

2.3k

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How to solve the problem that determines the age of Diophantus?

Published on 11 Apr 2026 - 0:07

score 278 · Answer 2 · 2026-04-12 06:18:29

278

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Solving an equation with multiple unknowns from different sets of natural numbers

Published on 12 Apr 2026 - 6:18

score 76 · Answer 3 · 2026-04-12 00:35:24

76

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A diophantine program for a basic For Loop

Published on 12 Apr 2026 - 0:35

score 245 · Answer 4 · 2026-04-16 09:11:05

245

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Prove that $y^3=x^2+2^{16}3^9$ has no integer solutions

Published on 16 Apr 2026 - 9:11

score 481 · Answer 5 · 2026-04-15 00:03:53

481

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Why can't the Alpertron solve this Pell-like equation?

Published on 15 Apr 2026 - 0:03

score 142 · Answer 6 · 2026-04-16 15:44:05

142

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On the number of solutions to $\frac{4}{p} = \frac{1}{n_1} + \frac{1}{n_2} + \frac{1}{n_3}$

Published on 16 Apr 2026 - 15:44

score 179 · Answer 7 · 2026-04-14 13:34:25

179

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Are the only natural-number solutions $a$ to the equation $5a^2 + 4 = b^2$ alternate Fibonacci numbers?

Published on 14 Apr 2026 - 13:34

score 657 · Answer 8 · 2026-04-10 23:12:06

657

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Find largest $k$ such that the diophantine equation $ax+by=k$ does not have nonnegative solution.

Published on 10 Apr 2026 - 23:12

score 501 · Answer 9 · 2026-04-15 04:56:15

501

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Quadratic Diophantine to Pell reduction

Published on 15 Apr 2026 - 4:56

score 209 · Answer 10 · 2026-04-15 14:36:31

209

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About solutions to $x^2+y^2+z^2=8n+3,n\in \mathbb N$

Published on 15 Apr 2026 - 14:36

score 260 · Answer 11 · 2026-04-13 20:58:47

260

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Approximate solution of a diophantine equation

Published on 13 Apr 2026 - 20:58

score 184 · Answer 12 · 2026-04-16 16:30:46

184

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Solve $x(x+1)=y(y+1)(y^2+2)$ for $x,y$ over the integers

Published on 16 Apr 2026 - 16:30

score 148 · Answer 13 · 2026-04-16 14:07:41

148

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Show that $x(x+1) = y^4+y^3+ay^2+by+c$ has a finite number of positive integral solutions.

Published on 16 Apr 2026 - 14:07

score 183 · Answer 14 · 2026-04-11 04:18:02

183

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A Modular Diophantine Equation

Published on 11 Apr 2026 - 4:18

score 1.7k · Answer 15 · 2026-04-16 13:58:54

1.7k

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Find $(a,b)$ if $x^2-bx+a = 0, x^2-ax+b = 0$ both have distinct positive integers roots

Published on 16 Apr 2026 - 13:58

List Question

How to solve the problem that determines the age of Diophantus?

Solving an equation with multiple unknowns from different sets of natural numbers

A diophantine program for a basic For Loop

Prove that $y^3=x^2+2^{16}3^9$ has no integer solutions

Why can't the Alpertron solve this Pell-like equation?

On the number of solutions to $\frac{4}{p} = \frac{1}{n_1} + \frac{1}{n_2} + \frac{1}{n_3}$

Are the only natural-number solutions $a$ to the equation $5a^2 + 4 = b^2$ alternate Fibonacci numbers?

Find largest $k$ such that the diophantine equation $ax+by=k$ does not have nonnegative solution.

Quadratic Diophantine to Pell reduction

About solutions to $x^2+y^2+z^2=8n+3,n\in \mathbb N$

Approximate solution of a diophantine equation

Solve $x(x+1)=y(y+1)(y^2+2)$ for $x,y$ over the integers

Show that $x(x+1) = y^4+y^3+ay^2+by+c$ has a finite number of positive integral solutions.

A Modular Diophantine Equation

Find $(a,b)$ if $x^2-bx+a = 0, x^2-ax+b = 0$ both have distinct positive integers roots

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