Is $2^n + n < 2^{(n+1)}$?
24403
Prove that $ n < 2^{n}$ for all natural numbers $n$.
50781
$(n+1)$th prime $p_{n+1}$ less than or equal to $p_1p_2\dots p_n+1$
110695
Divisor of $2^{2^n} + 1$ modulus $2^{n+1}$
134348
When is $(p - 1)! + 1$ a power of $p$?
70926
Showing that for $n\geq 3$ the inequality $(n+1)^n<n^{(n+1)}$ holds
66358
Prove by mathematical induction that $2n ≤ 2^n$, for all integer $n≥1$?
89758
Is there a formula for $(1+i)^n+(1-i)^n$?
35553
If $n$ is composite, so is $2^n-1$
122005
Can $n(n+1)2^{n-2} = \sum_{i=1}^{n} i^2 \binom{n}{i}$ be derived from the binomial theorem?
72600
Proof that $n!\leq {(\frac{n+1}{2})}^{n}$
118244
An $n$th root inequality: $\sqrt[n]{n} < 1 + \sqrt{2/n}$
12096
If $a+1/a$ is an integer, then so is $a^t+1/a^t$ for $t\in\mathbb N$
33757
For what natural numbers is $n^3 < 2^n$? Prove by induction
108497
Can $2^n$ and $2^{n+1}$ have the same digit sum?
89175
Proof of $(a+b)^{n+1}$
43048
When is $2^n \pm 1$ a perfect power
62177
Prove that: $2^n < n!$ Using Induction