List questions from exponential-diophantine-equations

Published on 14 Jul 2021 - 17:09

212

Views

How to prove there exists at least one positive integer solution of $k$ and $n$ in $2^{k} = 3^{n-1}(m + 1) - 1$, where m is any even integer?

Published on 30 Jul 2021 - 19:25

358

Views

What does it take to find integer solutions to this exponential division equation?

Published on 31 Jul 2021 - 2:42

193

Views

Does the exponential Diophantine equation $2^nn^{-n}s^s(n-s)^{n-s}=1/9,9$ have a solution?

Published on 19 Aug 2021 - 3:49

85

Views

How to solve Diophantine Equations $2^{4m}-1=(10k-5)^2$ and other similar ones?

Published on 12 Sep 2021 - 6:25

268

Views

Solve the Diophantine equation $ 12^x + y^4 = 56^z $ where $x, y, z$ are non-negative integers.

Published on 20 Oct 2021 - 10:50

101

Views

How to solve this exponential/diophantine equation?

Published on 21 Oct 2021 - 0:42

552

Views

Exponential diophantine equation $2^x+7^y=9^z$.

Published on 03 Nov 2021 - 19:17

162

Views

Integral solutions to $20^m-10m^2+1=19^n$.

Published on 15 Nov 2021 - 11:03

135

Views

Prove that $4^m + 11^n = x^2$ with $(m,n,x) \in \mathbb{N}^3$ does not admit solutions.

Published on 08 Dec 2021 - 22:05

152

Views

Solving $5^x - 2^x = 117$ using modular arithmetic

Published on 19 Feb 2022 - 12:14

148

Views

On relation between prime numbers and exponential Diophantine equation $c\cdot a^x\pm b=z$, feat. $71999999\cdots$

Published on 08 Mar 2022 - 19:33

107

Views

Query on $3^x \pm 2^{x-a}$ with relation to prime and semiprime

Published on 23 Feb 2026 - 4:56

51

Views

Solving the exponential Diophantine equation $2^{m+1} = zk + 1$ where $m,k,z \in Z$ for a given very large $z$

Published on 12 Mar 2022 - 13:29

166

Views

Solve this equation $12^x-5^y=19$ positive integers

Published on 31 Mar 2022 - 5:08

List Question

Understanding the Lambert W function

How to prove there exists at least one positive integer solution of $k$ and $n$ in $2^{k} = 3^{n-1}(m + 1) - 1$, where m is any even integer?

What does it take to find integer solutions to this exponential division equation?

Does the exponential Diophantine equation $2^nn^{-n}s^s(n-s)^{n-s}=1/9,9$ have a solution?

How to solve Diophantine Equations $2^{4m}-1=(10k-5)^2$ and other similar ones?

Solve the Diophantine equation $ 12^x + y^4 = 56^z $ where $x, y, z$ are non-negative integers.

How to solve this exponential/diophantine equation?

Exponential diophantine equation $2^x+7^y=9^z$.

Integral solutions to $20^m-10m^2+1=19^n$.

Prove that $4^m + 11^n = x^2$ with $(m,n,x) \in \mathbb{N}^3$ does not admit solutions.

Solving $5^x - 2^x = 117$ using modular arithmetic

On relation between prime numbers and exponential Diophantine equation $c\cdot a^x\pm b=z$, feat. $71999999\cdots$

Query on $3^x \pm 2^{x-a}$ with relation to prime and semiprime

Solving the exponential Diophantine equation $2^{m+1} = zk + 1$ where $m,k,z \in Z$ for a given very large $z$

Solve this equation $12^x-5^y=19$ positive integers

Trending Questions

Popular # Hahtags

Popular Questions