If N is a quadratic residue modulo p for all primes p<N, is N a perfect square?
38911
Squares in $\mathbb{Z}_p$ that are not squares in $\mathbb{Z}$
94017
If p is a prime and a ∈Z. How do we prove that the congruence x^x ≡ a (mod p) is solvable?
72666
Prime Numbers And Perfect Squares
65581
$m$ is a perfect square iff $m$ has an odd number of divisors?
25910
Product of Quadratic Residues
47148
Complete balanced (signed) residue System of an odd modulo m
41925
What is the distribution of primes modulo $n$?
126471
At least one prime between $\sqrt{n}$ and $n$?
21108
Perfect squares and modularly congruency in mod 5
150446
Quadratic Modular Arithmetic
105225
Number Theory: Complete set of residues modulo $n$
34617
Number Theory: which primes are a sum of two squares?
152754
When is the sum of divisors a perfect square?
36941
If $p$ is congruent to $2 \pmod 3$, how can I prove that all $a$, $1 \le a \le p-1$ are cubic residues $\mod p$?
8784
modulo version of the quadratic formula and Euler's criterion
79103
Check if a number is a perfect square
138941
If p $\equiv$ 3 (mod 4) with p prime, prove -1 is a non-quadratic residue modulo p.