How many solutions does $p\mid b^q-1$ have?
113763
Let $p$,$\ q$ be prime numbers and $n\in \mathbb{N}$ such that $p \nmid n-1$. If $p \mid n^q-1$, then $q \mid p-1$.
73238
Show that $a^{q-1} \equiv 1 \pmod{pq}$
55100
The positive integer solutions for $2^a+3^b=5^c$
60305
Proving the congruence $p^{q-1}+q^{p-1} \equiv 1 \pmod{pq}$
14773
Finding distinct solutions for the equation
127293
Prove that $(a-b) \mid (a^n-b^n)$
89590
The number of solutions of $ax^2+by^2\equiv 1\pmod{p}$ is $ p-\left(\frac{-ab}{p}\right)$
56803
Finding solutions to congruence equations
54608
How to find all solutions of $4^x-3^x=1$?
15436
Find p and q s.t. $({p-1})^{q-1}+({q-1})^{p-1} \equiv 101 \pmod {pq}$
22093
How to show $a^{2^n}+1 \mid a^{2^m}-1$?
132931
Determining the parity of the coefficients of a quadratic given that there is a rational solution
94965
Solve $x\equiv 1\pmod2$, $x\equiv 2\pmod3$, $x\equiv 3\pmod4$, $x\equiv 4\pmod5$, $x\equiv 5\pmod6$ and $x\equiv 0\pmod7$
137230
Find all pairs of primes $p,q$ such that $pq \mid 2^p +2^q$
142538
The number of solutions to an $n^{th}$ order differential equation.
84893
Solutions of the equations of the degree 5 and more
28594
Number of integer solutions of the following equation