query: When is the sum of the first $n$ squares a square?
positive_passages.docid: 135458
positive_passages.text: When is a sum of consecutive squares equal to a square?
negative_passages.docid: 46606
negative_passages.text: Can an integer of the form $4n+3$ written as a sum of two squares?
negative_passages.docid: 57250
negative_passages.text: Proving that the sum and difference of two squares (not equal to zero) can't both be squares.
negative_passages.docid: 136582
negative_passages.text: Decomposing total sum of squares
negative_passages.docid: 19588
negative_passages.text: $n!+1$ being a perfect square
negative_passages.docid: 53244
negative_passages.text: Prove that $p \in \mathbb{R}[x]$ can be represented as a sum of squares of polynomials from $\mathbb{R}[x]$
negative_passages.docid: 93657
negative_passages.text: Proving “The sum of $n$ consecutive cubes is equal to the square of the sum of the first $n$ numbers.”
negative_passages.docid: 47471
negative_passages.text: The square of n+1-th prime is less than the product of the first n primes.
negative_passages.docid: 105564
negative_passages.text: If $n$ is a positive integer greater than 1 such that $3n+1$ is perfect square, then show that $n+1$ is the sum of three perfect squares.
negative_passages.docid: 129755
negative_passages.text: Weighted sum of squares, in a finite field
negative_passages.docid: 98440
negative_passages.text: Show that any non-negative rational integer may be written as the sum of two squares if it is of the form....
negative_passages.docid: 101832
negative_passages.text: Proof that sum of first $n$ cubes is always a perfect square
negative_passages.docid: 134121
negative_passages.text: Determining all the positive integers $n$ such that $n^4+n^3+n^2+n+1$ is a perfect square.
negative_passages.docid: 149267
negative_passages.text: Complete the square on cross terms?
negative_passages.docid: 87666
negative_passages.text: Find $n$ such that $n/2$ is a square, $n/3$ is a cube, and $n/5$ a fifth power
negative_passages.docid: 18482
negative_passages.text: Can the squares with side $1/n$ be packed into a $1 \times \zeta(2)$ rectangle?
negative_passages.docid: 18932
negative_passages.text: Squares in arithmetic progression