query: Sum of digits of $11\dots 11^2$ where $11\dots 11$ is a 1992 digit number with all digits $1$
positive_passages.docid: 13677
positive_passages.text: Sum of digits of repunits
negative_passages.docid: 51842
negative_passages.text: Simplify $\prod_{k=1}^5\tan\frac{k\pi}{11}$ and $\sum_{k=1}^5\tan^2\frac{k\pi}{11}$
negative_passages.docid: 8990
negative_passages.text: In how many ways can a number be expressed as a sum of consecutive numbers?
negative_passages.docid: 13260
negative_passages.text: Choosing $101$ numbers from $\{1, 2, \dots , 200\}$.
negative_passages.docid: 153409
negative_passages.text: Sum of $1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{6}+\frac{1}{8}+\frac{1}{9}+\frac{1}{12}+\cdots$
negative_passages.docid: 112237
negative_passages.text: prove this :$\sum_1^{100} A_i = \sum_0^{99} C_i $
negative_passages.docid: 28957
negative_passages.text: Verifying that $2^{44}-1$ is divisible by $89$
negative_passages.docid: 11440
negative_passages.text: When is the number $11111\cdots1$ a prime number?
negative_passages.docid: 40763
negative_passages.text: Possible orders of permutations of $11$ symbols
negative_passages.docid: 65802
negative_passages.text: The number of 5-digit numbers such that their sum of digits is even is?
negative_passages.docid: 102349
negative_passages.text: sum of all the numbers that can be formed using the digits 2,3,3,4,4,4..
negative_passages.docid: 71047
negative_passages.text: Sum the digits of a number
negative_passages.docid: 41002
negative_passages.text: sum of integers using order of integers and primitive roots
negative_passages.docid: 136885
negative_passages.text: Series of natural numbers which has all same digits
negative_passages.docid: 139776
negative_passages.text: Divisibility tests and remainder mod $9,11,99,101,999,1001\,$ (casting out nines and elevens)
negative_passages.docid: 29524
negative_passages.text: Formula for the sum $\sum_{i=2}^{n} \frac1{i^2-1}$
negative_passages.docid: 149961
negative_passages.text: Two digit numbers