primeInGaussianIntegersCondition
P27193
predicate
Indicates that a number remains prime when considered within the ring of Gaussian integers, typically meaning it cannot be factored nontrivially in that domain.
All labels observed (2)
| Label | Occurrences |
|---|---|
| primeInGaussianIntegersCondition canonical | 1 |
| primeInertness | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: primeInGaussianIntegersCondition
Generated description
Indicates that a number remains prime when considered within the ring of Gaussian integers, typically meaning it cannot be factored nontrivially in that domain.
Sample triples (2)
| Subject | Object |
|---|---|
| Gaussian integers | odd prime p ≡ 3 (mod 4) remains prime in ℤ[i] ⓘ |
| Gaussian rationals ℚ(i) | odd prime p ≡ 3 mod 4 is inert in ℚ(i) via predicate surface "primeInertness" ⓘ |