primeSplittingProperty
P27192
predicate
Indicates how a given prime number factors (splits, remains inert, or ramifies) in an extension of number fields or related algebraic structure.
All labels observed (2)
| Label | Occurrences |
|---|---|
| primeSplitting | 1 |
| primeSplittingProperty canonical | 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: primeSplittingProperty
Generated description
Indicates how a given prime number factors (splits, remains inert, or ramifies) in an extension of number fields or related algebraic structure.
Sample triples (2)
| Subject | Object |
|---|---|
| Gaussian integers | odd prime p ≡ 1 (mod 4) factors as π·π̄ in ℤ[i] ⓘ |
| Gaussian rationals ℚ(i) | odd prime p ≡ 1 mod 4 splits in ℚ(i) via predicate surface "primeSplitting" ⓘ |