New posts in Perfect Powers

Power values of polynomial

Find all positive integers $n$ for which $1372n^4 - 3 $ is an odd perfect square.

Pythagorean triple with hypotenuse a power of $2$

Find all natural number $n$ for which $3^9+3^{12}+3^{15}+3^n$ is a perfect cube.

Is there any $k$ , for which we can prove that $n^n+k$ is never prime?

Find all positive integers $a, b, c$ such that $21^a+ 28^b= 35^c$ .

What is the smallest integer greater than 1 such that $\frac12$ of it is a perfect square and $\frac15$ of it is a perfect fifth power?

Sums of $5$th and $7$th powers of natural numbers: $\sum\limits_{i=1}^n i^5+i^7=2\left( \sum\limits_{i=1}^ni\right)^4$?

A conjecture about primes

How to compute 2-adic square roots?