New posts in Elementary Number Theory

Does $a(a^{-1} \bmod b) + b(b^{-1} \bmod a) < ab + 2$ hold?

Proving that a Gaussian integer $a+bi$ with $a,b\neq0$ is composite in $\mathbb{Z}[i]$ if its norm $a^2+b^2$ is composite in $\mathbb{N}$?

Is every natural number the truncation of a prime?

Finding remainder of $123^{456}$ divided by 88 using Chinese Remainder Theorem

How large is the area that the bug can access?

Find last two digits of $302^{46}$

Proving $n^2=n$, $n$ is even and $n$ is greater than $0$ is false

What is the lowest value of $m$ if $m>2$ and $m^3-3m^2+2m$ is divisible by $79$ and $83$?

Geometric proof that a Pythagorean triple has a number divisible by $3$?

How many subsets of $\{1,2,...,n\}$ do not contain three consecutive integers?