Triple

T5570679
Position Surface form Disambiguated ID Type / Status
Subject Fermat number E146191 entity
Predicate relatedTo P37 FINISHED
Object Fermat prime E146191 NE FINISHED

How this triple was built (2 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: Fermat prime | Statement: [Fermat number, relatedTo, Fermat prime]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Fermat prime
Context triple: [Fermat number, relatedTo, Fermat prime]
  • A. Fermat number chosen
    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. Prime
    Prime is one of the traditional canonical hours in the Christian liturgy of the hours, historically recited in the early morning.
  • C. 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.
  • D. 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.
  • E. Fermat's theorem on sums of two squares
    Fermat's theorem on sums of two squares is a result in number theory stating exactly which prime numbers (and, more generally, which integers) can be expressed as the sum of two perfect squares.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69c008ffed108190a084602227af6157 completed March 22, 2026, 3:21 p.m.
NER Named-entity recognition batch_69c020502a288190af37f9ebb88fccae completed March 22, 2026, 5:01 p.m.
NED1 Entity disambiguation (via context triple) batch_69c0284bb71881908c0ac4ea2a302327 completed March 22, 2026, 5:35 p.m.
Created at: March 22, 2026, 3:37 p.m.