Find the largest $m$ such that $n^{12}\equiv 1\mod m$ for all $n$ relatively prime to $m$? (using only Euler's totient theorem)
102733
What is the largest number $n$ with $\lambda(n)=k$ for a given $k$?
57654
Congruent Modulo $n$: definition
39969
Algorithms for computing multiplicative order modulo $n$
55049
How to find the inverse modulo $m$?
44857
Why the $(n+1)$th prime number cannot exceed the smallest prime divisor of $p_1\dotsc p_n + 1$
93820
Fermat's little theorem applied for $n$'th root existence $\!\bmod p$
47960
Given any $10$ consecutive positive integers , does there exist one integer which is relatively prime to the product of the rest ?
89203
What is the fastest (known) algorithm to find the n-th Catalan number mod m?
41925
What is the distribution of primes modulo $n$?
126471
At least one prime between $\sqrt{n}$ and $n$?
78342
When is $\phi(n)$ a prime number?
62043
the largest integer $n$ for which $n+5$ divivides $n^5+5$?
123033
Showing a number $n$ is prime if $(n-2)! \equiv 1 \pmod n$
58803
${n \choose k} \bmod m$ using Chinese remainder theorem?
118443
What is the largest $k$ such that $ \frac { k(abc) }{ a+b+c } \le \left( a+b \right) ^{ 2 }+\left( a+b+4c \right) ^{ 2 } $?
157711
Number Theory: Prove that $m | \phi(a^m - 1)$
47060
Split $n$ into nontrivial factors via a nontrivial square-root of $1\!\pmod{\!n}$