query: Integer sum of powers
positive_passages.docid: 21746
positive_passages.text: How do I show that the sum $(a+\frac12)^n+(b+\frac12)^n$ is an integer for only finitely many $n$?
negative_passages.docid: 7327
negative_passages.text: Sum of the digits of the number 2^1000
negative_passages.docid: 61270
negative_passages.text: Binomial Theorem Sum
negative_passages.docid: 108876
negative_passages.text: Sum of real numbers that multiply to 1
negative_passages.docid: 129755
negative_passages.text: Weighted sum of squares, in a finite field
negative_passages.docid: 99868
negative_passages.text: Sum(Partition(Binary String)) = $2^k$
negative_passages.docid: 2932
negative_passages.text: How do I prove this sum is not an integer
negative_passages.docid: 158124
negative_passages.text: Sum of all the positive integers problem
negative_passages.docid: 2137
negative_passages.text: Find the number of ways to express 1050 as sum of consecutive integers
negative_passages.docid: 7891
negative_passages.text: Sum of nth roots of unity
negative_passages.docid: 122891
negative_passages.text: integer as sum of three binomials
negative_passages.docid: 27427
negative_passages.text: Arranging numbers from $1$ to $n$ such that the sum of every two adjacent numbers is a perfect power
negative_passages.docid: 73258
negative_passages.text: Power series summation
negative_passages.docid: 4253
negative_passages.text: How to calculate: $\sum_{n=1}^{\infty} n a^n$
negative_passages.docid: 76370
negative_passages.text: Can any integer can be written as the sum of 8 integer cubes?
negative_passages.docid: 8806
negative_passages.text: Summation of binomial coefficients
negative_passages.docid: 112827
negative_passages.text: Find the sum of the binomial coefficients