List questions from diophantine-equations

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Please help understand how $ax^2+by-c=0$ is NP Complete

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No integer $x$ such that $(x-y)^3+ x^3 = (x+y)^3$

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Prove that the equation $\ 5x^4 + x − 3 = 0\ $ has no rational solutions.

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Given the following diophantine equation: $53x + 12y = 2$ determine the integer solutions (if any).

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If $a_nx^n+a_{n-1}x^{n-1}+\cdots+a_1x+a_0=0$, must we have always $-\frac{a_0}{a_n} \in \mathbb{Z}$?

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Why is there a $p\in \mathbb{N}$ such that $mr - p < \frac{1}{10}$?

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Nonlinear system Diophantus.

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Why does this equivalence stand?

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Integer solutions to $x^2=2y^4+1$.

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Why does the diophantine equation $x^2+x+1=7^y$ have no integer solutions?

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Solving the equation $ x^2-7y^2=-3 $ over integers

Published on 20 Aug 2015 - 15:37

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How to solve special type of Diophantine equation

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Integer solutions to $x^2 + dy^2 = c$

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Consecutive sets of consecutive numbers which add to the same total

Published on 25 Aug 2015 - 4:05

List Question

Find this this diophantine equation the number

Please help understand how $ax^2+by-c=0$ is NP Complete

No integer $x$ such that $(x-y)^3+ x^3 = (x+y)^3$

Prove that the equation $\ 5x^4 + x − 3 = 0\ $ has no rational solutions.

Given the following diophantine equation: $53x + 12y = 2$ determine the integer solutions (if any).

If $a_nx^n+a_{n-1}x^{n-1}+\cdots+a_1x+a_0=0$, must we have always $-\frac{a_0}{a_n} \in \mathbb{Z}$?

Why is there a $p\in \mathbb{N}$ such that $mr - p < \frac{1}{10}$?

Nonlinear system Diophantus.

Why does this equivalence stand?

Integer solutions to $x^2=2y^4+1$.

Why does the diophantine equation $x^2+x+1=7^y$ have no integer solutions?

Solving the equation $ x^2-7y^2=-3 $ over integers

How to solve special type of Diophantine equation

Integer solutions to $x^2 + dy^2 = c$

Consecutive sets of consecutive numbers which add to the same total

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