Find all positive integers n, such that $n2^n+1$ is divisible by $3$
48655
Find all n such that : $3 \mid (n2^{n}+1)$
12967
Find all $n>1$ such that $\dfrac{2^n+1}{n^2}$ is an integer.
63661
integers $n$ such that $(n-1)!+1$ is a power of $n$
11470
Divisibility of integers
112031
Prove that $\gcd(2^{2^m}+1,2^{2^n}+1)=1$ if $m,n$ are positive integers.
104965
Find $n$ such that polynomial is divisible
16176
Primitive Pythagorean triple divisible by 3
22154
Show that given a set of positive n integers, there exists a non-empty subset whose sum is divisible by n
17194
$6^{(n+2)} + 7^{(2n+1)}$ is divisible by $43$ for $n \ge 1$
85959
How do I prove that among any $5$ integers, you are able to find $3$ such that their sum is divisible by $3$?
106030
Find all the positive integer
112147
Proving $9$ divides $n^3 + (n+1)^3 + (n+2)^3$
85817
Show that in any set of $2n$ integers, there is a subset of $n$ integers whose sum is divisible by $n$.
19500
How can I find $\gcd(a^m+1,a^n+1)$ with $a,m,n$ positive integers?
127855
Show that the product of any $m$ consecutive positive integers is divisible by $m!$
82774
Prove by mathematical induction that $n^3 - n$ is divisible by $3$ for all natural number $n$
158124
Sum of all the positive integers problem