Triple
T27562857
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Legendre’s formula for valuations of factorials |
E695819
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | number-theoretic formula |
C1718
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: number-theoretic formula Context triple: [Legendre’s formula for valuations of factorials, instanceOf, number-theoretic formula]
-
A.
arithmetical function
An arithmetical function is a function defined on the positive integers that assigns to each integer a (usually complex or real) value, often encoding number-theoretic properties such as divisors, primes, or multiplicative structure.
-
B.
mathematical formula
chosen
A mathematical formula is a concise symbolic expression that defines a relationship between quantities using numbers, variables, and mathematical operators.
-
C.
number theory constant
A number theory constant is a specific real or complex number that arises naturally in number-theoretic contexts, often defined by infinite series, products, or limits, and encapsulates deep arithmetic properties.
-
D.
algorithm in number theory
An algorithm in number theory is a finite, well-defined computational procedure designed to solve problems involving integers and their properties, such as divisibility, primality, and modular relationships.
-
E.
number theory work
A number theory work is a scholarly text or study focused on the properties, relationships, and structures of integers and related mathematical objects.
- F. None of above.
Provenance (1 batch)
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_69ef53891af88190a193c5e2a1dac9b1 |
completed | April 27, 2026, 12:16 p.m. |
Created at: April 27, 2026, 1:40 p.m.