Equation $(p-1)! + 1 = p^n$ for some $p > 5$ and $n \in \mathbb{N}$
63661
integers $n$ such that $(n-1)!+1$ is a power of $n$
84893
Solutions of the equations of the degree 5 and more
77595
Number of solutions of $x_1 + 2x_2 + 3x_3 + \cdots + n x_n = p$
147101
Show that if $p>5$ is prime, then $240 \mid (p^4-1)$
34738
Prove that $\gcd(n!+1,(n+1)!+1)=1$
131551
$pq\mid pn^q+qn^p+kn$ for some $k,\,$ if $p,q$ are primes
116363
If $P(x^5)+xQ(x^5)+x^2R(x^5)=(x^4+x^3+x^2+x+1)S(x)$ , then prove that $P(x)$ is divisible by $x-1$
97656
Finding $a_n$ if $a_0=a_1=1,a_{n+1}=n(a_n+a_{n-1})\ \ (n\ge 1).$
72735
Understanding the proof of a formula for $p^e\Vert n!$
5043
Show that $2^n>1+n\sqrt{2^{n-1}}$
8884
Find all natural numbers $n$ and $m$ for which $n^m=(n-1)!+1$
55266
Prove that $(n+1)^{n-1}<n^n$
4315
show that if $n\geq1$, $(1+{1\over n})^n<(1+{1\over n+1})^{n+1}$
112575
Finding integer solutions of $m^2-n^5 = m - n$
3036
Is a polynomial equation of degree $\ge 5$ not solvable by any way?
70611
Prove by Mathematical Induction: $1(1!) + 2(2!) + \cdot \cdot \cdot +n(n!) = (n+1)!-1$
69136
factorization of a^n+1?