query: Greatest integer less than $\sum_{n=1}^{1599} \frac{1}{\sqrt n}$
positive_passages.docid: 29190
positive_passages.text: $\left\lfloor \frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{4}}+...+\frac{1}{\sqrt{1024}}\right\rfloor =?$
negative_passages.docid: 44857
negative_passages.text: Why the $(n+1)$th prime number cannot exceed the smallest prime divisor of $p_1\dotsc p_n + 1$
negative_passages.docid: 30639
negative_passages.text: Efficient computation of $\sum_{k=1}^n \left\lfloor \frac{n}{k}\right\rfloor$
negative_passages.docid: 6278
negative_passages.text: The value of $\sum_{1\leq l< m <n}^{} \frac{1}{5^l3^m2^n}$
negative_passages.docid: 5433
negative_passages.text: Finite Sum $\sum\limits_{k=1}^{m-1}\frac{1}{\sin^2\frac{k\pi}{m}}$
negative_passages.docid: 136918
negative_passages.text: How to determine the smallest numbers with $n$ factors
negative_passages.docid: 90806
negative_passages.text: Find all positive integers $n$ such that $n$ is divisible by all the positive integers less than or equal to $\sqrt{n}$
negative_passages.docid: 45144
negative_passages.text: Another way to write least prime factor.
negative_passages.docid: 135968
negative_passages.text: Simplify $\left({\sum_{k=1}^{2499}\sqrt{10+{\sqrt{50+\sqrt{k}}}}}\right)\left({\sum_{k=1}^{2499}\sqrt{10-{\sqrt{50+\sqrt{k}}}}}\right)^{-1}$
negative_passages.docid: 33866
negative_passages.text: Show that $n$ does not divide $2^n - 1$ where $n$ is an integer greater than $1$?
negative_passages.docid: 141073
negative_passages.text: Are there fewer positive integers than all integers?
negative_passages.docid: 37603
negative_passages.text: Finding the Integer part of $\sum_{k=2} ^{9999}\frac{1}{\sqrt k}$
negative_passages.docid: 62792
negative_passages.text: Can sum of a rational number and its reciprocal be an integer?
negative_passages.docid: 116901
negative_passages.text: Monotonicity of $\frac{n}{\sqrt[n]{(n!)}}$
negative_passages.docid: 115454
negative_passages.text: Primality test bound: square root of n
negative_passages.docid: 31267
negative_passages.text: Sum of all primes under 2 million
negative_passages.docid: 127102
negative_passages.text: Upper bound for $\sqrt[n]{n!}$