Is the sum $\sum_p \frac{1}{p^p}$ , $p$ running over the primes, transcendental?
54473
Value of $\sum 1/p^p$
104646
Question on simplification of $\sum_{n=1}^{\infty}\frac{2}{(2n+1)(2n+3)}$?
52530
There exists a prime congruent to $m$ mod $p$
112005
Showing that if $p_1 + \cdots p_n = 1$ then $\displaystyle \sum_{k=1}^n \left(p_k + \dfrac {1}{p_k} \right)^2 \ge n^3+2n+\dfrac 1n$?
108806
Sum of prime numbers below 2,000,000 giving wrong result
130731
Is every integer the sum of distinct prime numbers?
50781
$(n+1)$th prime $p_{n+1}$ less than or equal to $p_1p_2\dots p_n+1$
37826
Is $0.23571113171923293137\dots$ transcendental?
69084
What is the closed form for $\sum_{n=1}^\infty \frac1n - \frac1{n+1/p}$?
72282
Let$\ p_n$ be the$\ n$-th prime. Is$\ \lim_{n\to\infty} \log \log n \prod_{i=1}^{\lfloor \log n \rfloor} \frac{p_i-1}{p_i}>0$?
21791
Show that $\sum\limits_{k=1}^\infty \frac{1}{k(k+1)(k+2)\cdots (k+p)}=\frac{1}{p!p} $ for every positive integer $p$
37007
Evaluating $\sum_{k=1}^{n} \frac{1}{k(k+1)}$
114280
Computing $\sum_{n=1}^∞\frac{1}{(n+1)(n+2)(n+3)....(n+p)}$
80399
Is $29$ the only prime of the form $p^p+2$?
152231
Computing the product of p/(p - 2) over the odd primes
44600
How can I prove: if $p $ is prime and $n>1$, then $ p^{\frac1n} $ is irrational?
79718
Does the alternating sum of prime reciprocals converge?