The sum $\sum_{k=1}^{p-1} \frac{(p-1)!}{k} \pmod{p^2}$.
140825
$\sum_{n=1}^{p-1}{\frac{1}{n}} = \frac{A_p}{B_p}$ What is $A_p$ (mod $p^2$) where $\frac{A_p}{B_p}$ is a reduced form fraction?
117863
Series $\sum_{n=1}^\infty \frac{n^n}{(n!)^2}$
126105
Compute $\sum_{k=1}^{n} \frac 1 {k(k + 1)} $
5332
Find the value of $\sum_0^n \binom{n}{k} (-1)^k \frac{1}{k+1}$
61850
Compute $\sum_{k=0}^{\infty}\frac{1}{2^{k!}}$
74117
Find the sum of series $\sum_{n=0}^{\infty}\frac{z^{kn}}{(kn)!}$
130548
What is the sum of the power series: $\sum_{k=2}^\infty\frac{x^k}{k(k-1)}$?
91316
Sum of the series $\sum _{ r=1 }^{ \infty }{ \frac { { r }^{ 3 } }{ r! } } $
121661
Evaluating the sum $\Sigma \, \frac{1}{k(k+p)}$
19581
$\sum_{k=0}^n (-1)^k \binom{n}{k}^2$ and $\sum_{k=0}^n k \binom{n}{k}^2$
112005
Showing that if $p_1 + \cdots p_n = 1$ then $\displaystyle \sum_{k=1}^n \left(p_k + \dfrac {1}{p_k} \right)^2 \ge n^3+2n+\dfrac 1n$?
68848
How to simplify $\sum_{k=1}^nk\cdot k!$
114280
Computing $\sum_{n=1}^∞\frac{1}{(n+1)(n+2)(n+3)....(n+p)}$
154933
Prove $(p-k)!(k-1)!\equiv (-1)^k \text{ mod p }$
54286
Let $p$ a prime number, then prove that : $\sum \limits_{k=0}^{p} \binom {p}{k} \binom{p+k}{k} \equiv 2^p +1 \pmod{p^2}$
36436
Proving $\sum_{k=1}^n k k!=(n+1)!-1$
79415
The series $\sum_{n=2}^{\infty }\frac{1}{\log (n!)}$