How many triplets $\left(m,n,p\right)$ where $p$ is prime satisfy $m^2-3mn+p^2n^2=12p$?
136856
Diophantine equation with a prime number
134365
When is this true: If $m^2$ is a multiple of N then m is a multiple of N
53162
$13\mid4^{2n+1}+3^{n+2}$
34017
Show that $n^{\pi\left(2n\right)-\pi\left(n\right)}2$
40968
show if $n=4k+3$ is a prime and ${a^2+b^2} \equiv 0 \pmod n$ , then $a \equiv b \equiv 0 \pmod n$
125188
how to prove $m^{\phi(n)}+n^{\phi(m)}\equiv 1 \pmod{mn}$ where m and n are relatively prime?
61871
Formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, ...$
150528
Pythagorean triples $(a,b,c)$ and divisibility of $a$ or $b$ by $3$.
72670
Find three distinct triples (a, b, c) consisting of rational numbers that satisfy $a^2+b^2+c^2 =1$ and $a+b+c= \pm 1$.
16176
Primitive Pythagorean triple divisible by 3
52530
There exists a prime congruent to $m$ mod $p$
117516
Prime trios of the form $p$,$p+2$,$p+4$
138193
Why is $\sqrt {12} = 2 \sqrt 3$?
56624
Prove that $0!+1! + 2! + 3! + ..... + n!$ $\neq$ $p^\text{r}$, where $n \geqslant 3$ and $n$, $p$ and $r$ are three integers
41925
What is the distribution of primes modulo $n$?
103360
Prove $4p-3$ is a square knowing that $n\mid p-1$ and $p\mid n^3-1$, $p$ prime
131488
Show that $p^3+4$ is prime