Triple

T18282758
Position Surface form Disambiguated ID Type / Status
Subject David Bressoud E437902 entity
Predicate notableWork P4 FINISHED
Object Factorization and Primality Testing
"Factorization and Primality Testing" is a mathematical work that explores algorithms and theory for decomposing integers into prime factors and determining whether numbers are prime.
E1316093 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Factorization and Primality Testing | Statement: [David Bressoud, notableWork, Factorization and Primality Testing]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Factorization and Primality Testing
Context triple: [David Bressoud, notableWork, Factorization and Primality Testing]
  • A. Selfridge–Conway primality test
    The Selfridge–Conway primality test is a probabilistic algorithm in number theory used to determine whether a given integer is prime.
  • B. AKS primality test
    The AKS primality test is a landmark deterministic polynomial-time algorithm that can conclusively determine whether a number is prime without relying on unproven assumptions.
  • C. Adleman–Pomerance–Rumely primality test
    The Adleman–Pomerance–Rumely primality test is an early deterministic algorithm in computational number theory used to determine whether a given number is prime, notable for its theoretical importance in the development of modern primality testing methods.
  • D. Lenstra elliptic-curve factorization method
    The Lenstra elliptic-curve factorization method is an integer factorization algorithm that uses properties of elliptic curves over finite fields to efficiently find nontrivial factors of large numbers, especially those with relatively small prime divisors.
  • E. Miller primality test
    The Miller primality test is a randomized algorithm used to determine whether a number is prime with high confidence, forming the basis of the widely used Miller–Rabin primality test in computational number theory and cryptography.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Factorization and Primality Testing
Triple: [David Bressoud, notableWork, Factorization and Primality Testing]
Generated description
"Factorization and Primality Testing" is a mathematical work that explores algorithms and theory for decomposing integers into prime factors and determining whether numbers are prime.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Factorization and Primality Testing
Target entity description: "Factorization and Primality Testing" is a mathematical work that explores algorithms and theory for decomposing integers into prime factors and determining whether numbers are prime.
  • A. Selfridge–Conway primality test
    The Selfridge–Conway primality test is a probabilistic algorithm in number theory used to determine whether a given integer is prime.
  • B. AKS primality test
    The AKS primality test is a landmark deterministic polynomial-time algorithm that can conclusively determine whether a number is prime without relying on unproven assumptions.
  • C. Adleman–Pomerance–Rumely primality test
    The Adleman–Pomerance–Rumely primality test is an early deterministic algorithm in computational number theory used to determine whether a given number is prime, notable for its theoretical importance in the development of modern primality testing methods.
  • D. Lenstra elliptic-curve factorization method
    The Lenstra elliptic-curve factorization method is an integer factorization algorithm that uses properties of elliptic curves over finite fields to efficiently find nontrivial factors of large numbers, especially those with relatively small prime divisors.
  • E. Miller primality test
    The Miller primality test is a randomized algorithm used to determine whether a number is prime with high confidence, forming the basis of the widely used Miller–Rabin primality test in computational number theory and cryptography.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69d8b914530c8190b4474d862a2b2a1b completed April 10, 2026, 8:47 a.m.
NER Named-entity recognition batch_69e50057c5c881909fcda72f4a98c8c3 completed April 19, 2026, 4:18 p.m.
NED1 Entity disambiguation (via context triple) batch_6a03b4029cb88190963ae33570455c2d completed May 12, 2026, 11:13 p.m.
NEDg Description generation batch_6a03b501b630819094c77aebf62081a2 completed May 12, 2026, 11:17 p.m.
NED2 Entity disambiguation (via description) batch_6a03b5c09f4881909fb0ead5fc48895c completed May 12, 2026, 11:20 p.m.
Created at: April 10, 2026, 10:35 a.m.