New posts in Chinese Remainder Theorem

Is $77!$ divisible by $77^7$?

Find last three nonzero digits of $1^1 \cdot 2^2 \cdot 3^3 \cdot ... \cdot 25^{25}$

Solve the congruence system: $p \equiv 11\pmod{24}$ and $ p\equiv 3 \pmod 4$

Show that $1^7+7^7+13^7+19^7+23^7\equiv{0}\pmod{63}$

Solve $x^2\equiv -3\pmod {\!91}$ by CRT lifting roots $\!\bmod 13\ \&\ 7$

Prove: if $a$ is a square mod $p,q$, then it is a square mod $pq$

$\left (14^{2014} \right )^{2014} \mod 60$ without a calculator

The Chinese Remainder Theorem for Rings.

Chinese remainder theorem for non-prime / non-coprime moduli

Show that if $a$, $b$, and $c$ are integers such that $(a, b) = 1$, then there is an integer $n$ such that $(an + b, c) = 1$