New posts in elementary-number-theory

Does $\sum^{\infty}_{n=1}\left(\frac{p_{n+1}}{p_n}-1\right)^2 $ converge?

Prove that the given sequence contains all natural numbers

How to find a "simple" fraction between two other fractions?

$a^2+b^3=c^5$Are there infinitely many solutions?

Find all integer solutions to $x^2+4=y^3$. [duplicate]

Express an even number as a sum of primes

Converse of Bézout's identity

Number of zeros not possible in $n!$ [duplicate]

show that one of the numbers $1,11,\cdots, 11\cdots 1$ is divisible by p [duplicate]

Prove that $\mu(n)\mu(n+1)\mu(n+2)\mu(n+3)=0$ for $n\ge 1$

Expanding integers into distinct egyptian fractions - what is the optimal way?

Eight zeros are written on a blackboard...

Translation of a certain proof of $(\sum k)^2 = \sum k^3 $

Pascal's Triangle and Binary Representations

Wieferich's criterion for Fermat's Last Theorem

Liouville function and perfect square

Simplify $\mathbb{Q}(\pi^3+\pi^2, \pi^8+\pi^5)$

gcd of power plus one

Verify Elementary Number Theory Proof (Romanian Olympiad)

Solving integer equation $a^3+b^3=a^2+72ab+b^2$