query: What is known about the sum $\sum\frac1{p^p}$ of reciprocals of primes raised to themselves?
positive_passages.docid: 54473
positive_passages.text: Value of $\sum 1/p^p$
negative_passages.docid: 147864
negative_passages.text: Convergence of infinite product of prime reciprocals?
negative_passages.docid: 24373
negative_passages.text: Hint on computing the series $\sum_{n=2}^\infty \frac{1}{n^2-1}$.
negative_passages.docid: 132928
negative_passages.text: Digits of $\pi$ forming primes?
negative_passages.docid: 84559
negative_passages.text: Showing $\sum\limits_{p \in P} \frac{1}{p}$ where $P$ is the set of all primes is divergent
negative_passages.docid: 15164
negative_passages.text: Proof of $\sum^{2N}_{n=1} \frac{(-1)^{n-1}}{n} = \sum^{N}_{n=1} \frac{1}{N+n}$
negative_passages.docid: 60305
negative_passages.text: Proving the congruence $p^{q-1}+q^{p-1} \equiv 1 \pmod{pq}$
negative_passages.docid: 107924
negative_passages.text: Prove (or derive) the de Polignac formula for the prime decomposition of $n!$
negative_passages.docid: 101057
negative_passages.text: Show that $1^{p-1} + 2^{p-1} +\ldots + (p-1)^{p-1} \equiv -1 \mod p$
negative_passages.docid: 86051
negative_passages.text: Find the sum of reciprocals of divisors given the sum of divisors
negative_passages.docid: 63474
negative_passages.text: Showing $\sum_{i = 1}^n\frac1{i(i+1)} = 1-\frac1{n+1}$ without induction?
negative_passages.docid: 130615
negative_passages.text: divisibility of binomial coefficients by primes
negative_passages.docid: 121554
negative_passages.text: Finding $\sum\frac{1}{2^n(n+1)}$
negative_passages.docid: 92416
negative_passages.text: About a sum of Legendre symbols associated to an odd prime
negative_passages.docid: 68376
negative_passages.text: How, if at all, does pure mathematics benefit from $2^{74207281}-1$ being prime?
negative_passages.docid: 48691
negative_passages.text: Product of all prime numbers upto some prime $p$
negative_passages.docid: 18064
negative_passages.text: Sum of reciprocals of numbers with certain terms omitted