query: Definition of a complex prime
positive_passages.docid: 124037
positive_passages.text: Complex prime numbers
negative_passages.docid: 83721
negative_passages.text: If a prime $p\mid ab$, then $p\mid a$ or $p\mid b\ $ [Euclid's Lemma]
negative_passages.docid: 28380
negative_passages.text: What is the definition of prime number?
negative_passages.docid: 69067
negative_passages.text: Principal $n$th root of a complex number
negative_passages.docid: 47779
negative_passages.text: Why does this integral have a complex component?
negative_passages.docid: 59639
negative_passages.text: Intuitive explanation of Residue theorem in Complex Analysis
negative_passages.docid: 42988
negative_passages.text: Complex polynomial and the unit circle
negative_passages.docid: 17620
negative_passages.text: Why the principal value of complex number argument is taken within $(-\pi,\pi]?$
negative_passages.docid: 50412
negative_passages.text: Prime elements in $\mathbb{Z}/n\mathbb{Z}$
negative_passages.docid: 54358
negative_passages.text: Why $(1-\zeta)$ unit where $\zeta$ is a primitive nth and n divisible by two primes
negative_passages.docid: 123304
negative_passages.text: Locus of the points on complex plane
negative_passages.docid: 56779
negative_passages.text: The norm of a Gaussian prime is a prime or a square of a prime in $\mathbb{Z}$
negative_passages.docid: 56229
negative_passages.text: On the difference between consecutive primes
negative_passages.docid: 132928
negative_passages.text: Digits of $\pi$ forming primes?
negative_passages.docid: 135102
negative_passages.text: How do the definitions of "irreducible" and "prime" elements differ?
negative_passages.docid: 5142
negative_passages.text: Infinitely many primes of the form $pn+1$
negative_passages.docid: 81250
negative_passages.text: Infinitude of prime numbers