query: Height one prime avoidance in normal domains
positive_passages.docid: 154239
positive_passages.text: Can a prime in a Dedekind domain be contained in the union of the other prime ideals?
negative_passages.docid: 24988
negative_passages.text: Prove there exists $m > 2010$ such that $f(m)$ is not prime
negative_passages.docid: 143051
negative_passages.text: Inverting noninvertible elements in a bigger ring.
negative_passages.docid: 93929
negative_passages.text: The height of a principal prime ideal
negative_passages.docid: 151829
negative_passages.text: Why are maximal ideals prime?
negative_passages.docid: 64239
negative_passages.text: Upper Bound for $p(1-p) $ where $0 \le p \le 1$
negative_passages.docid: 102914
negative_passages.text: Integral domain that is not a factorization domain
negative_passages.docid: 7108
negative_passages.text: Normal subgroup of prime index
negative_passages.docid: 78342
negative_passages.text: When is $\phi(n)$ a prime number?
negative_passages.docid: 98345
negative_passages.text: Characteristic of an integral domain must be either $0$ or a prime number.
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: 155452
negative_passages.text: Prime factorization of square numbers
negative_passages.docid: 85915
negative_passages.text: Principal prime ideals are minimal among prime ideals in a UFD
negative_passages.docid: 42170
negative_passages.text: $R$ integral domain where every prime ideal is principal then set of non-principal ideals has maximal element
negative_passages.docid: 9204
negative_passages.text: Counterexamples to the avoidance lemma for arbitrary ideals
negative_passages.docid: 21862
negative_passages.text: Proof of lack of pure prime producing polynomials.
negative_passages.docid: 30523
negative_passages.text: A binary irrational with bits defined by primes