How can I prove they are congruent?
96535
Show that if $\gcd(a,3)=1$ then $a^7 \equiv a\pmod{63}$. Why is this assumption necessary?
5934
How to prove floor identities?
77064
Proving $\gcd((a+b)^m,(a-b)^m)\le2^m$ for coprime $a,b$ and $m \in \Bbb N$
52530
There exists a prime congruent to $m$ mod $p$
28003
How to prove $A+ A^T$ symmetric, $A-A^T$ skew-symmetric.
113413
How do I show that two groups are not isomorphic?
11342
Show that conguence $\bmod m\,$ is an equivalence relation
125263
How to crack the proof
34330
How to prove $\gcd(a^2,b^2) = (\gcd(a,b))^2$?
127733
How to prove De Morgan’s laws without using contradictions
79686
How can I prove these statements?
97584
How to prove this property using convexity?
76335
Proving that two matrices are congruent, in order to establish a rank and signature result.
73334
Proving this relation is transitive
49806
Prove that $\frac{R/ \ker \phi}{(\ker \phi + J)/ \ker \phi} \cong \frac{S}{\phi(J)}$
132587
Prove that the product of coprimes must be congruent to $-1$ or $1 \pmod{m}$
139
Prove or disprove: For every integer a, if a is not congruent to 0 (mod 3), the a^2 is congruent to 1 (mod 3)