Number of ways to write a prime $p \equiv 1 \bmod 4$ as a sum of two squares
6332
If $p\equiv1\mod{4}$, then $p=a^{2}+b^{2}$ where a and b are uniquely determined
9787
Primitive roots modulo primes congruent to n!
29799
Sum of four squares not a prime
67899
Integer squares of the form $x^4+x^3+x^2+x+1$
50596
$p_1p_2...p_n +1$ is not square for $p_k = k$'th prime
112390
Solutions of $x^2 \equiv 1 \pmod N$
51153
Number of solutions to $x^2\equiv a\pmod m$
15314
Number of solutions to $x^n \equiv 1 \mod p$
127901
If $x^2+y^2 \equiv 0\pmod{p}$, then $p \equiv 1 \pmod{4}$
98440
Show that any non-negative rational integer may be written as the sum of two squares if it is of the form....
5142
Infinitely many primes of the form $pn+1$
4559
How many ways can $133$ be written as sum of only $1s$ and $2s$
101057
Show that $1^{p-1} + 2^{p-1} +\ldots + (p-1)^{p-1} \equiv -1 \mod p$
96237
$1^2 + 2^2 + 3^2 + \cdots + (n-1)^2 \equiv 0$ mod n iff $n \equiv \pm 1$ mod 6
119630
For an odd prime $p$, $\;p =1 \pmod 4,\; \;x^2+1 = 0 \pmod p$
112644
The product of two numbers that can be written as the sum of two squares
68635
When is $2$ a quadratic residue mod $p$?