Prove existence and uniqueness of m-adic representation of any natural number
56528
On the proof of existence and uniqueness of radix representation
20438
Prove that every positive integer $n$ has a unique expression of the form: $2^{r}m$ where $r\ge 0$ and $m$ is an odd positive integer
96398
An integer $a \pmod m$ has inverse if and only if $\gcd(a,m)=1$?
131905
Proof for exponentiation in modular arithmetic
135986
Show if $a \equiv b \pmod{m}$ then $ac \equiv bc\pmod{mc}$
52530
There exists a prime congruent to $m$ mod $p$
124472
Elements with infinite roots in $p$-adic integers
3632
Basic number theory proofs
6332
If $p\equiv1\mod{4}$, then $p=a^{2}+b^{2}$ where a and b are uniquely determined
73238
Show that $a^{q-1} \equiv 1 \pmod{pq}$
127468
Prove that there is only one unique base b representation of any natural number.
29231
Proof of : $x^{n}\equiv x^{\varphi(m)+[n \bmod \varphi(m)]} \mod m$
49294
prove that $\operatorname{lcm}(n,m) = nm/\gcd(n,m)$
67705
Square roots in the $p$-adics
112080
Proving the Product Rule for exponents with the same base
13656
Prove existence of a real root.
30817
Is an automorphism of the field of real numbers the identity map?