List questions from diophantine-equations

Published on 23 Feb 2017 - 17:45

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How to solve $p^2 - p + 1 = q^3$ over primes?

Published on 23 Feb 2017 - 19:48

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Diophantine Equation problem: Find all pairs of integers (a,b) such that $ab|a^{2017} + b$

Published on 01 Apr 2026 - 1:40

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How many integers $n$ for $3<n<100$ are such that $1+2+3+\cdots+(n-1)=k^2$, with $k \in \mathbb{N^*}$?

Published on 24 Feb 2017 - 11:56

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Find all primes $p$ for which there are integers $n, x, y$ such that $p^n = x^3 + y^3$

Published on 24 Feb 2017 - 16:59

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Given $P^2 + 17^Q = 10^8 $, what is the number of values that $P$ can take?

Published on 25 Feb 2017 - 10:08

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Simultaneous equation $x^2 +y=10050$ and $y^2 + x= 2600$ solution

Published on 28 Mar 2026 - 15:26

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Universal quadratic forms and the fifteen theorem of Conway

Published on 29 Mar 2026 - 17:25

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Solving an equation with floor functions

Published on 01 Apr 2026 - 1:33

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Does the equation $a^{2} + b^{7} + c^{13} + d^{14} = e^{15}$ have a solution in positive integers

Published on 26 Feb 2017 - 5:59

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Can we prove this conjecture concerning Pell equations?

Published on 27 Mar 2026 - 23:57

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diophantine equation $x^2+y^2=3$

Published on 27 Feb 2017 - 1:50

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Parametric solutions $ax^4+by^4=cz^4$

Published on 27 Feb 2017 - 19:28

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Solve the system of equations

Published on 28 Mar 2026 - 20:53

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Are there arbitary large $b$ such that the diophantine equation $a^3-n\cdot b^3=1$ has a solution?

Published on 25 Mar 2026 - 19:05

List Question

What values of $a,b\in\mathbb{Z^+}$ satisfy $a^b=b^a+1$?

How to solve $p^2 - p + 1 = q^3$ over primes?

Diophantine Equation problem: Find all pairs of integers (a,b) such that $ab|a^{2017} + b$

How many integers $n$ for $3<n<100$ are such that $1+2+3+\cdots+(n-1)=k^2$, with $k \in \mathbb{N^*}$?

Find all primes $p$ for which there are integers $n, x, y$ such that $p^n = x^3 + y^3$

Given $P^2 + 17^Q = 10^8 $, what is the number of values that $P$ can take?

Simultaneous equation $x^2 +y=10050$ and $y^2 + x= 2600$ solution

Universal quadratic forms and the fifteen theorem of Conway

Solving an equation with floor functions

Does the equation $a^{2} + b^{7} + c^{13} + d^{14} = e^{15}$ have a solution in positive integers

Can we prove this conjecture concerning Pell equations?

diophantine equation $x^2+y^2=3$

Parametric solutions $ax^4+by^4=cz^4$

Solve the system of equations

Are there arbitary large $b$ such that the diophantine equation $a^3-n\cdot b^3=1$ has a solution?

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