Find all integers n having the property that $\frac{2^n+1}{n^2}$ is an integer
12967
Find all $n>1$ such that $\dfrac{2^n+1}{n^2}$ is an integer.
70386
Proof by induction: $2^n > n^2$ for all integer $n$ greater than $4$
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 $2^{n}$.
97684
Show $\frac{(2n)!}{n!\cdot 2^n}$ is an integer for $n$ greater than or equal to $0$
48333
Prove by induction that $(x+1)^n - nx - 1$ is divisible by $x^2$
33786
Proof that a certain fraction is always an integer
122019
Prove by mathematical induction that $2^{3^n}+1$ is divisible by $3^{n+1}$
33810
Proving there are an infinite number of pairs of positive integers $(m,n)$ such that $\frac{m+1}{n}+\frac{n+1}{m}$ is a positive integer
63383
Integers $n$ for which $|2^n + 5^n – 65|$ is a perfect square
10191
Binomial theorem: divisibility by $n^2$
20691
prove that $\frac{(2n)!}{(n!)^2}$ is even if $n$ is a positive integer
42885
Fermat primes relation to $2^n+1$
7466
How would I prove that if an integer $n>2$, then $\bar{z}=z^{n-1}$ has $n+1$ solutions
77547
Find integers $a,b,c,d$ such that
53713
Accumulation Points for $S = \{(-1)^n + \frac1n \mid n \in \mathbb{N}\}$
75166
Find with proof all positive integers $n$ such that $2^n + 1 \equiv 0 \pmod{n}$
46668
How to find integer solutions to $M^2=5N^2+2N+1$?