Triple

T5245492
Position Surface form Disambiguated ID Type / Status
Subject Blum–Blum–Shub pseudorandom number generator E118448 entity
Predicate basedOn P98 FINISHED
Object Blum integer
A Blum integer is a special type of composite number formed as the product of two distinct prime numbers each congruent to 3 modulo 4, widely used in cryptography and pseudorandom number generation.
E505280 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: Blum integer | Statement: [Blum–Blum–Shub pseudorandom number generator, basedOn, Blum integer]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Blum integer
Context triple: [Blum–Blum–Shub pseudorandom number generator, basedOn, Blum integer]
  • A. Fermat number
    A Fermat number is a special type of integer of the form \(F_n = 2^{2^n} + 1\), studied in number theory for its intriguing properties related to primality and constructible polygons.
  • B. Atkin
    Atkin is an English surname, typically derived as a diminutive or pet form of the given name Adam.
  • C. Bateman–Horn conjecture
    The Bateman–Horn conjecture is a far-reaching unproven statement in number theory that predicts how often sets of polynomial expressions simultaneously take prime values, generalizing several earlier conjectures about the distribution of prime numbers.
  • D. 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.
  • E. Ramanujan prime
    A Ramanujan prime is a type of prime number that provides a bound guaranteeing the existence of a certain number of primes in intervals of the form (x/2, x], named after the mathematician Srinivasa Ramanujan.
  • 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: Blum integer
Triple: [Blum–Blum–Shub pseudorandom number generator, basedOn, Blum integer]
Generated description
A Blum integer is a special type of composite number formed as the product of two distinct prime numbers each congruent to 3 modulo 4, widely used in cryptography and pseudorandom number generation.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Blum integer
Target entity description: A Blum integer is a special type of composite number formed as the product of two distinct prime numbers each congruent to 3 modulo 4, widely used in cryptography and pseudorandom number generation.
  • A. Fermat number
    A Fermat number is a special type of integer of the form \(F_n = 2^{2^n} + 1\), studied in number theory for its intriguing properties related to primality and constructible polygons.
  • B. Atkin
    Atkin is an English surname, typically derived as a diminutive or pet form of the given name Adam.
  • C. Bateman–Horn conjecture
    The Bateman–Horn conjecture is a far-reaching unproven statement in number theory that predicts how often sets of polynomial expressions simultaneously take prime values, generalizing several earlier conjectures about the distribution of prime numbers.
  • D. 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.
  • E. Ramanujan prime
    A Ramanujan prime is a type of prime number that provides a bound guaranteeing the existence of a certain number of primes in intervals of the form (x/2, x], named after the mathematician Srinivasa Ramanujan.
  • 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_69bd4468aacc8190a8196f71855cdf4f completed March 20, 2026, 12:58 p.m.
NER Named-entity recognition batch_69bd7b515edc8190a9db198d4eb1c4f6 completed March 20, 2026, 4:52 p.m.
NED1 Entity disambiguation (via context triple) batch_69bef832ae8481908a90faf66c1db631 completed March 21, 2026, 7:57 p.m.
NEDg Description generation batch_69bef91bb96c819098b7f6bfa578d9ca completed March 21, 2026, 8:01 p.m.
NED2 Entity disambiguation (via description) batch_69bef9dc9c908190aac0f7bcaf427dfc completed March 21, 2026, 8:04 p.m.
Created at: March 20, 2026, 1:49 p.m.