Find $x$ such that $x^{677} ≡ 3 \mod 2020$.
34192
Solve $x^{5} \equiv 2$ mod $221\ $ [Taking modular $k$'th roots if unique]
10767
Prove that $512^3 + 675^3 + 720^3$ is a composite number
33998
Show that given seven real numbers, it is always possible take two of them, such that $\left\vert\frac{a-b}{1+ab}\right\vert<\frac{1}{\sqrt{3}}$
360
Modular exponentiation by hand ($a^b\bmod c$)
157771
Nested exponent modulus, $2^{2^{517}} \pmod {23}$
17176
Proof that $x^n \mod b = (x \mod b)^n$
74718
Find remainder when $f(x^{12})$ is divided by $f(x)$
97150
Solve $[2^{(2^{403})}] = [a]$ in $\mathbb Z_{23}$ where $0 \le a < 23$.
48053
Show that 13 divides $2^{70}+3^{70}$
148671
Trying to factor $x^4-3$ over $\Bbb{F}_p$ with $p\equiv 3\mod{4}$
158684
How to solve and see resolution of $13^{53} \pmod 7$ using Fermat little Theorem?
145617
Is there any simple trick to solve the congruence $a^{24}\equiv6a+2\pmod{13}$?
94855
Prove if a (mod n) has a multiplicative inverse, then it's unique
110460
find remainder of a number
96535
Show that if $\gcd(a,3)=1$ then $a^7 \equiv a\pmod{63}$. Why is this assumption necessary?
85297
find a $3 \times 3$ matrix $A$ such that $A \neq I_3$ and $A^{197}=I_3$.
21530
How many solutions of $\mod 63$ : $x^2=1 \pmod7 $ and $x^3=1\pmod 9$