List questions from diophantine-equations

Published on 14 Apr 2026 - 9:54

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Solutions existence of quadratic diophantine equations

Published on 11 Apr 2026 - 3:11

160

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When all of $n-2$, $n+2$, $n^2-2$, and $n^2+2$ are primes?

Published on 15 Apr 2026 - 16:45

179

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Find $f(a,b)$ given $f(a,1)$, $f(a,2)$, ...

Published on 14 Apr 2026 - 0:26

138

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Proof of theorem related to Fermat's last theorem

Published on 17 Apr 2026 - 5:21

111

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number of solutions to $(x+t)^a=x^a$

Published on 24 Apr 2026 - 0:47

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Question about (probably false) elementary proof of Fermat's Last Theorem

Published on 11 Apr 2026 - 16:11

643

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Solving modified Fibonacci Nuggets [Project Euler 140]

Published on 25 Mar 2026 - 11:17

186

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For how many integers $(3n)^4-(n-10)^4$ is a perfect square?

Published on 16 Apr 2026 - 0:46

423

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Integer solutions to fraction equation

Published on 09 Apr 2026 - 6:22

204

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How to prove that $x^3=6y^2+2$ has only solution $(2,1)$

Published on 14 Apr 2026 - 16:03

112

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How can prove $\frac{x_n}{n}+\frac{ x_{n-1}}{n-1}+...+\frac{x_3}{3}+\frac{y_m}{m}+\frac{ y_{m-1}}{m-1}+...+\frac{y_3}{3} \ge 1$

Published on 15 Apr 2026 - 17:00

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Prove that it is impossible to find any positive integers a, b, c such that $(2a+b)(2b+a) = 2^c$

Published on 16 Apr 2026 - 12:15

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How to solve in integers the equation, $(x^2-y^2)^2=1+16y$?

Published on 13 Apr 2026 - 6:10

201

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Another conjecture on sum $A+B=C$

Published on 19 Apr 2026 - 0:51

List Question

Method of solving $y^2+1=1250z$

Solutions existence of quadratic diophantine equations

When all of $n-2$, $n+2$, $n^2-2$, and $n^2+2$ are primes?

Find $f(a,b)$ given $f(a,1)$, $f(a,2)$, ...

Proof of theorem related to Fermat's last theorem

number of solutions to $(x+t)^a=x^a$

Question about (probably false) elementary proof of Fermat's Last Theorem

Solving modified Fibonacci Nuggets [Project Euler 140]

For how many integers $(3n)^4-(n-10)^4$ is a perfect square?

Integer solutions to fraction equation

How to prove that $x^3=6y^2+2$ has only solution $(2,1)$

How can prove $\frac{x_n}{n}+\frac{ x_{n-1}}{n-1}+...+\frac{x_3}{3}+\frac{y_m}{m}+\frac{ y_{m-1}}{m-1}+...+\frac{y_3}{3} \ge 1$

Prove that it is impossible to find any positive integers a, b, c such that $(2a+b)(2b+a) = 2^c$

How to solve in integers the equation, $(x^2-y^2)^2=1+16y$?

Another conjecture on sum $A+B=C$

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