query: If $a \in \Bbb Z$ is the sum of two squares then $a$ can't be written in which of the following forms?
positive_passages.docid: 147317
positive_passages.text: multiple choice question on number theory
negative_passages.docid: 75318
negative_passages.text: How do you prove that a prime is the sum of two squares iff it is congruent to 1 mod 4?
negative_passages.docid: 114863
negative_passages.text: Representing a given number as the sum of two squares.
negative_passages.docid: 34666
negative_passages.text: Prove that the expression cannot be a power of 2
negative_passages.docid: 22840
negative_passages.text: The sum of the first $n$ squares is a square: a system of two Pell-type-equations
negative_passages.docid: 138081
negative_passages.text: How to determine whether a number can be written as a sum of two squares?
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: 149071
negative_passages.text: Let $d$ be any positive integer not equal to $2, 5,$ or $ 13$ , then $\exists a, b \in \{2, 5, 13, d\}$ such that $ab − 1$ is not a perfect square?
negative_passages.docid: 137967
negative_passages.text: Are there $a,b \in \mathbb{N}$ that ${(\sum_{k=1}^n k)}^a = \sum_{k=1}^n k^b $ beside $2,3$
negative_passages.docid: 144335
negative_passages.text: Sum of three numbers and the sum of their squares: $x^2+y^2+z^2 \geq \frac{1}{3}$ for $x+y+z=1$
negative_passages.docid: 129755
negative_passages.text: Weighted sum of squares, in a finite field
negative_passages.docid: 86688
negative_passages.text: Why can't you square both sides of an equation?
negative_passages.docid: 90276
negative_passages.text: Is $\sqrt{2}\in{\Bbb Z}[\sqrt{2}+\sqrt{3}]$ true?
negative_passages.docid: 22800
negative_passages.text: Can $\sqrt{n} + \sqrt{m}$ be rational if neither $n,m$ are perfect squares?
negative_passages.docid: 4559
negative_passages.text: How many ways can $133$ be written as sum of only $1s$ and $2s$
negative_passages.docid: 98298
negative_passages.text: Prove that bilinear form can be presented as product of linear forms if and only if it has rank one
negative_passages.docid: 86497
negative_passages.text: Prove that any rational can be expressed in the form $\sum\limits_{k=1}^n{\frac{1}{a_k}}$, $a_k\in\mathbb N^*$