Newbetuts
.
Is $\left( {{2}^{x}}-1 \right)\left( {{5}^{x}}-1 \right)$ a square number for integer $x>1$
elementary-number-theory
number-theory
square-numbers
This is
Problem 12019
in the American Math Monthly. A solution can be found in the link:
AMM 12019
Related
Can a composite number $n$ be the arithmetic mean of $\sigma(n)$ and $\varphi(n)$?
An Euler type sum: $\sum_{n=1}^{\infty}\frac{H_n^{(2)}}{n\cdot 4^n}{2n \choose n}$, where $H_n^{(2)}=\sum\limits_{k=1}^{n}\frac{1}{k^2}$
How one should treat M.Kline's "Mathematics. The Loss of Certainty"?
Prime number between $\sqrt{n}-n^{1/3}$ and $\sqrt{n}$
Every nonabelian group of order 6 has a non-normal subgroup of order 2 (revisited)
Second difference on the sum of extreme values of square numbers
Calculate the sum $S_n = \sum\limits_{k=1}^{\infty}\left\lfloor \frac{n}{2^k} + \frac{1}{2}\right\rfloor $
Getting everyone to meet everyone else
Does there exist an area-preserving map from the hyperbolic plane to the Euclidean plane? [duplicate]
Conjecture $\sum_{n=0}^\infty a_n= \frac{1}{2}-\frac{7 \zeta(3)}{2 \pi^2}$
What's stopping us from defining isomorphism in general?
Are there continuous functions $f,g:\mathbb{R}\longrightarrow\mathbb{R}$ such that for any $x$, $f(g(x))=\sin x$ and $g(f(x))=\cos x$?
Recent Posts
org.apache.kafka.common.errors.TimeoutException: Topic not present in metadata after 60000 ms
Why my code runs infinite time when i entered non integer type in c++ [duplicate]
How to retrieve Instagram username from User ID?
Serverless Framework - Variables resolution error
How do we access a file in github repo inside our azure databricks notebook