Find all n such that : $3 \mid (n2^{n}+1)$
91921
Divisibility of $n\cdot2^n+1$ by 3.
22093
How to show $a^{2^n}+1 \mid a^{2^m}-1$?
118197
Solve $n(n+1)(n+2)=6m^3$ in positive integers
144017
How to find the smallest $n$ such that $n^a\equiv 1 \pmod p$
128107
find all $ a \in \mathbb N $ such that $2^a − 1 \equiv 0 \pmod 3$ and $ 4x^2 + 1 \equiv 0 \pmod {\frac{2^a -1}{3}}$ has a solution
127293
Prove that $(a-b) \mid (a^n-b^n)$
113119
Use the division algorithm to prove that 3|(n³ + 2n) for all n ∈ ℕ
8884
Find all natural numbers $n$ and $m$ for which $n^m=(n-1)!+1$
31074
Mathematical Induction divisibility $8\mid 3^{2n}-1$
75166
Find with proof all positive integers $n$ such that $2^n + 1 \equiv 0 \pmod{n}$
9846
Prove $n-m \mid n^r - m^r\,$ [Factor Theorem, monomial case]
156786
Show that $15\mid 21n^5 + 10n^3 + 14n$ for all integers $n$.
98443
Find positive integers such that $2n^3 + 5|n^4 +n+1$
30261
How can I find all integers $x≠3$ such that $x−3|x^3−3$
130488
Prove by induction that $3\mid n^3 - n$
83407
How to show that that $q \mid p-1$?
20504
$\forall m,n \in \Bbb N$ : $\ 56786730\mid mn(m^{60}-n^{60})$