Find all integer number with this condition: n |2^n+1
75166
Find with proof all positive integers $n$ such that $2^n + 1 \equiv 0 \pmod{n}$
90806
Find all positive integers $n$ such that $n$ is divisible by all the positive integers less than or equal to $\sqrt{n}$
100761
Find all $x$ such that $x^6 = (x+1)^6$.
157186
Finding integers satisfying $m^2 - n^2 = 1111$
66358
Prove by mathematical induction that $2n ≤ 2^n$, for all integer $n≥1$?
98443
Find positive integers such that $2n^3 + 5|n^4 +n+1$
113386
Find all integer roots of: $x^2(y-1)+y^2(x-1)=1$
39670
Use Pigeonhole to show of any set of $2^{n+1}-1$ positive integers is possible choose $2^{n}$ elements such that their sum is divisible by $2^{n}$.
8884
Find all natural numbers $n$ and $m$ for which $n^m=(n-1)!+1$
45240
Starting digits of $2^n$.
32653
Smallest integer divisible by all up to $n$
17306
To find all $n$ such that $(n-1)!+1$ is a perfect power of $n$
31245
How to prove that Fibonacci number is integer?
116054
The number $(3+\sqrt{5})^n+(3-\sqrt{5})^n$ is an integer
94923
Using the Pigeonhole Principle to show that $2$ of any $n+1$ numbers from $\{1,2,\ldots,2n\}$ sum to $2n+1$
56135
Find all permutations with a condition
96861
How find all ordered pairs $(m,n)$ such $\frac{n^3-1}{mn-1}$ is an integer