query: Should we or should we not take $1$ as a prime number?
positive_passages.docid: 48587
positive_passages.text: Why is $1$ not a prime number?
negative_passages.docid: 75733
negative_passages.text: Divisibility of prime numbers
negative_passages.docid: 143503
negative_passages.text: Do these new insights into prime numbers affect encryption security?
negative_passages.docid: 20980
negative_passages.text: Prove that $\frac{p^p-1}{p-1}$ is not prime if $p \equiv 1 \pmod 4$
negative_passages.docid: 56229
negative_passages.text: On the difference between consecutive primes
negative_passages.docid: 2802
negative_passages.text: If $2^n+1$ is prime, why must $n$ be a power of $2$?
negative_passages.docid: 67923
negative_passages.text: "num - 1" vs "num -= 1"
negative_passages.docid: 102064
negative_passages.text: Prime number between $n$ and $n!+1$
negative_passages.docid: 61899
negative_passages.text: Prove that the language $\{bin(p) \mid p\ \text{is prime}\}$ is not regular (prime numbers)
negative_passages.docid: 37947
negative_passages.text: Prove that if a number $n > 1$ is not prime, then it has a prime factor $\le \sqrt{n}$.
negative_passages.docid: 53557
negative_passages.text: Java: A "prime" number or a "power of two" as HashMap size?
negative_passages.docid: 78342
negative_passages.text: When is $\phi(n)$ a prime number?
negative_passages.docid: 41277
negative_passages.text: Prime with digits reversed is prime?
negative_passages.docid: 54547
negative_passages.text: Prove this number must be a prime number or 1.
negative_passages.docid: 5978
negative_passages.text: Prove that there exists only one prime number of the form $p^2−1$ where $p≥2$ is an integer
negative_passages.docid: 17233
negative_passages.text: are two consecutive numbers relatively prime?
negative_passages.docid: 98468
negative_passages.text: Are there infinitely many primes of the form $n!+1$?