List questions from diophantine-equations

Published on 13 Apr 2026 - 12:01

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Is this Diophantine equation proof correct?

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Greatest $n$ that can be written in the form of $ax+by=n$

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How to solve Linear Diophantine equations?

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Finding pairs of triangular numbers whose sum and difference is triangular

Published on 11 Apr 2026 - 18:09

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Is always $\small {rq-1 \over 2^B} \le q-1 $ with natural r,q,B and $\small r,q \in \{1, \ldots, (2^B-1)\} , odd$?

Published on 16 Apr 2026 - 10:57

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Integer solutions of $x^4 + 16x^2y^2 + y^4 = z^2$

Published on 15 Apr 2026 - 19:01

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Is always $\small {rq-1 \over 2^B} +1 \le \min(q,r) $ with equality iff $\small q$ or $\small r$ is a divisor...

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Whenever Pell's equation proof is solvable, it has infinitely many solutions

Published on 11 Apr 2026 - 16:12

194

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special equation $z^y$ - $y^z$ = $x^y$

Published on 13 Apr 2026 - 1:49

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conditional equation

Published on 10 Apr 2026 - 16:46

252

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Numbers of the form $x^2+axy+by^2$

Published on 14 Apr 2026 - 15:06

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Number of positive integral solutions of equation $\dfrac 1 x+ \dfrac 1 y= \dfrac 1 {n!}$

Published on 15 Apr 2026 - 21:43

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No Integer Solutions and Congruences

Published on 11 Apr 2026 - 23:01

350

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Very interesting equation $x^y + y^z + z^x = x^z + y^x + z^y$

Published on 10 Apr 2026 - 21:12

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rational triangles and cosines

Is this Diophantine equation proof correct?

Greatest $n$ that can be written in the form of $ax+by=n$

How to solve Linear Diophantine equations?

Finding pairs of triangular numbers whose sum and difference is triangular

Is always $\small {rq-1 \over 2^B} \le q-1 $ with natural r,q,B and $\small r,q \in \{1, \ldots, (2^B-1)\} , odd$?

Integer solutions of $x^4 + 16x^2y^2 + y^4 = z^2$

Is always $\small {rq-1 \over 2^B} +1 \le \min(q,r) $ with equality iff $\small q$ or $\small r$ is a divisor...

Whenever Pell's equation proof is solvable, it has infinitely many solutions

special equation $z^y$ - $y^z$ = $x^y$

conditional equation

Numbers of the form $x^2+axy+by^2$

Number of positive integral solutions of equation $\dfrac 1 x+ \dfrac 1 y= \dfrac 1 {n!}$

No Integer Solutions and Congruences

Very interesting equation $x^y + y^z + z^x = x^z + y^x + z^y$

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