Find out p and q s.t. $({p-1})^{q-1}+({q-1})^{p-1}\equiv 101\pmod{pq}$
15436
Find p and q s.t. $({p-1})^{q-1}+({q-1})^{p-1} \equiv 101 \pmod {pq}$
77351
How to use Fermat's little theorem to find $50^{50}\pmod{13}$?
21874
Solve $x^3+x \equiv 1 \pmod p$
118629
$p,q$ odd primes, $q\mid a^p-1\Rightarrow q\mid a-1$ or $\,2p\mid q-1$
96237
$1^2 + 2^2 + 3^2 + \cdots + (n-1)^2 \equiv 0$ mod n iff $n \equiv \pm 1$ mod 6
127945
Number of solutions to the congruence $x^q \equiv 1 \mod p$.
66892
Finding $P$ in $A = P^{-1}JP$ (Jordan Form)
45171
How prove this $(p-1)!\left(1+\frac{1}{2}+\frac{1}{3}+\cdots+\frac{1}{p-1}\right)\equiv 0\pmod{p^2}$
102398
Help deriving that $\mathrm{sign} : S_n\to \{\pm 1\}$ is multiplicative
66785
Find $\gcd(p^n-1,p^m+1)$.
72360
Find the value of $a^{2m}+a^m+{1\over a^m}+{1\over a^{2m}}$
60206
Find minimum of $P=\frac{\sqrt{3(2x^2+2x+1)}}{3}+\frac{1}{\sqrt{2x^2+(3-\sqrt{3})x +3}}+\frac{1}{\sqrt{2x^2+(3+\sqrt{3})x +3}}$
17799
Find $\lim_{x\to 1}\frac{p}{1-x^p}-\frac{q}{1-x^q}$
27850
Find and prove a formula for $1\pmod{3}\cap 1\pmod{7}$.
94965
Solve $x\equiv 1\pmod2$, $x\equiv 2\pmod3$, $x\equiv 3\pmod4$, $x\equiv 4\pmod5$, $x\equiv 5\pmod6$ and $x\equiv 0\pmod7$
145884
Showing $\left|\frac{a+b}{2}\right|^p+\left|\frac{a-b}{2}\right|^p\leq\frac{1}{2}|a|^p+\frac{1}{2}|b|^p$
144017
How to find the smallest $n$ such that $n^a\equiv 1 \pmod p$