Proof or disproof that for composite $n$, $(2^n)-1$ is also composite
63356
Can $x^{n}-1$ be prime if $x$ is not a power of $2$ and $n$ is odd?
134963
Proving a non-prime (composite) number $> 1$ has a divisor $d \leq\sqrt q$
125618
Prove $2^{3^n}+1 $ is a multiple of $3^{n+1}$ by induction
11867
Prove by induction that $n < 2^n$ for all $n \ge 1$
123117
Is it possible to find $n-1$ consecutive composite integers
89175
Proof of $(a+b)^{n+1}$
48081
Prove that for all $n \in \mathbb{N}$: $2^{n-1}(a^n + b^n) \ge (a + b)^n$
119436
Proving $2^n\leq 2^{n+1}-2^{n-1}-1$ for all $n\geq 1$ by induction
108318
counting proof for $\sum_{k=0}^{n-1} 2^{k} = 2^n - 1$
9920
$(n^2 - 1)!$ is a multiple of $(n!)^n$
20161
Prove that the multiplicative inverse of $a$ modulo $m$ exists if and only if $a$ and $m$ are coprime.
114277
Proving in Discrete Structures Problem that $2^N = \binom{N}{0} + \binom{N}{1} + \binom{N}{2} + \dots + \binom{N}{N}$
22367
How do I prove that for every positive integer $n$, there exist $n$ consecutive positive integers, each of which is composite?
91285
Prove $a+b+c+d $ is composite
67527
Proof by Induction that $3^n ≥ 1+2^n$
108382
Prove $x^n-1$ is divisible by $x-1$ by induction
142956
Prove that for any positive integer n there is a sequence of n consecutive composite numbers.