Find all integers such that ϕ(n) =n/2
880
Find all n such that $\phi(n) = n/2$
108746
Prove that there exist two integers such that i - j is divisible by n.
106030
Find all the positive integer
44864
Prove, formally that: $\log_2 n! \ge n$ , for all integers $n>3$.
44182
Proving that an integer is even if and only if it is not odd
63661
integers $n$ such that $(n-1)!+1$ is a power of $n$
30136
Proof that a Combination is an integer
153892
Number Theory divisibilty
47592
Integer partitions in all orderings
65764
Partitioning $\{1,2,\ldots,k\}$ into $p$ subsets with equal sums, where $p$ is prime
41641
$(n-7)(n+7)=$ some perfect square
107990
Does there exist an integer $x$ satisfying the following congruences?
139350
Given two coprime integers, find multiples of them that differ by 1
30261
How can I find all integers $x≠3$ such that $x−3|x^3−3$
124456
Given $x \in \mathbb{R}$ and $N \in \mathbb{N}, N>1,$ find integers $h,k$ with $0 < k \leq N $ that satisfy $\lvert{kx - h\rvert} < 1/N.$
24446
Prove that for each $n$, there exist $n$ consecutive integers, each of which is divisible by a perfect square larger than $1$.
129163
Showing that every positive integer can be represented in this form