List questions from diophantine-equations

Published on 03 Aug 2014 - 11:34

277

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Solution to the Diophantine equation $x^4+y^4=2z^2$

Published on 03 Aug 2014 - 15:28

32

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How to solve this class of diophantine forms

Published on 05 Aug 2014 - 0:38

247

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Exponential Diophantine: $2^{3x}+17=y^2$

Published on 05 Aug 2014 - 0:55

718

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For integers $a\ge b\ge 2$, is $f(a,b) = a^b + b^a$ injective?

Published on 05 Aug 2014 - 10:57

96

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Solving Multiple Equations with Many Variables

Published on 06 Aug 2014 - 17:40

2.5k

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Linear Diophantine equation $3x + 5y = 11$

Published on 08 Aug 2014 - 4:38

313

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How to prove that $3ab(a+b)$ cannot be a cube?

Published on 10 Aug 2014 - 16:09

469

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System of Diophantine Equations

Published on 10 Aug 2014 - 16:12

3.2k

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Are there finitely many Pythagorean triples whose smallest two numbers differ by 1?

Published on 26 Mar 2026 - 9:40

1.4k

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Solving $x^2 - 11y^2 = 3$ using congruences

Published on 10 Aug 2014 - 21:03

1.2k

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Fermat: Prove $a^4-b^4=c^2$ impossible

Published on 11 Aug 2014 - 0:21

148

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Determine variables that fit this criterion...

Published on 12 Aug 2014 - 21:19

416

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Diophantine: $px^2+2=y^2$ where $p\in \mathbb{P}$

Published on 12 Aug 2014 - 23:03

480

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Prove that the Diophantine equation $ax+by=c$ has no integer solutions if $\gcd(a,b)$ does not divide $c$

Published on 13 Aug 2014 - 7:52

List Question

Generating all the Pythagorean triples by factorizing using complex numbers

Solution to the Diophantine equation $x^4+y^4=2z^2$

How to solve this class of diophantine forms

Exponential Diophantine: $2^{3x}+17=y^2$

For integers $a\ge b\ge 2$, is $f(a,b) = a^b + b^a$ injective?

Solving Multiple Equations with Many Variables

Linear Diophantine equation $3x + 5y = 11$

How to prove that $3ab(a+b)$ cannot be a cube?

System of Diophantine Equations

Are there finitely many Pythagorean triples whose smallest two numbers differ by 1?

Solving $x^2 - 11y^2 = 3$ using congruences

Fermat: Prove $a^4-b^4=c^2$ impossible

Determine variables that fit this criterion...

Diophantine: $px^2+2=y^2$ where $p\in \mathbb{P}$

Prove that the Diophantine equation $ax+by=c$ has no integer solutions if $\gcd(a,b)$ does not divide $c$

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