List questions from diophantine-equations

Published on 30 Aug 2018 - 2:42

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Solve $x^3-y^3-z^3=3^t \cdot 2xyz$

Published on 30 Aug 2018 - 2:45

209

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Large Cardinals and Diophantine Equations (Penelope Maddy)

Published on 17 Mar 2026 - 15:15

215

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Pell's equation (or a special case of a second order diophantine equation)

Published on 03 Sep 2018 - 6:21

120

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Equation $\frac{1}{a_1}+\ldots +\frac{1}{a_{2018}} = 1$

Published on 25 Mar 2026 - 14:27

196

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How we derive $y \geq (b+1)$ from $(b+1)b^n < (b+1)^n b$?

Published on 05 Sep 2018 - 3:24

67

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Why we get inequality form an equation?

Published on 25 Mar 2026 - 11:53

625

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Proof that a diophantine equation does not have non-trivial solutions

Published on 06 Sep 2018 - 16:57

103

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Solution to rational Diophantine equations in fixed point

Published on 22 Mar 2026 - 20:34

340

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Solve $a^2 - 2b^2 - 3 c^2 + 6 d^2 =1 $ over integers $a,b,c,d \in \mathbb{Z}$

Published on 23 Mar 2026 - 2:05

74

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Solutions of $2^x-3^y=z$ with $z < 2^{x-y}$

Published on 07 Sep 2018 - 13:55

115

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If $2^t = a^b \pm 1$, what are all the possible values of $t$?

Published on 07 Sep 2018 - 19:59

283

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Given the equation $A(qr-p)=B(pr+q)$, when can $A=pr+q$ and $B=qr-p$ be true?

Published on 08 Sep 2018 - 6:26

91

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When does an elliptic curve have accumulation points?

Published on 10 Sep 2018 - 10:08

136

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Number of solutions of quadratic system of diophantine equations

Published on 25 Mar 2026 - 4:41

List Question

Find all triples $(p,x,y)$ such that $ p^x=y^4+4$

Solve $x^3-y^3-z^3=3^t \cdot 2xyz$

Large Cardinals and Diophantine Equations (Penelope Maddy)

Pell's equation (or a special case of a second order diophantine equation)

Equation $\frac{1}{a_1}+\ldots +\frac{1}{a_{2018}} = 1$

How we derive $y \geq (b+1)$ from $(b+1)b^n < (b+1)^n b$?

Why we get inequality form an equation?

Proof that a diophantine equation does not have non-trivial solutions

Solution to rational Diophantine equations in fixed point

Solve $a^2 - 2b^2 - 3 c^2 + 6 d^2 =1 $ over integers $a,b,c,d \in \mathbb{Z}$

Solutions of $2^x-3^y=z$ with $z < 2^{x-y}$

If $2^t = a^b \pm 1$, what are all the possible values of $t$?

Given the equation $A(qr-p)=B(pr+q)$, when can $A=pr+q$ and $B=qr-p$ be true?

When does an elliptic curve have accumulation points?

Number of solutions of quadratic system of diophantine equations

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