Goldbach function
E1325993
UNEXPLORED
The Goldbach function is an arithmetic function that counts the number of ways an even integer can be expressed as the sum of two prime numbers, reflecting the structure underlying the Goldbach conjecture.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Goldbach function canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T18479688 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Goldbach function Context triple: [Goldbach conjecture, connectedConcept, Goldbach function]
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A.
Goldbach
Goldbach is a small river flowing through the town of Blankenburg in the Harz region of Germany.
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B.
Goldbach
Goldbach is a locality within the municipality of Küsnacht in the canton of Zürich, Switzerland, situated along the shores of Lake Zurich.
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C.
Goldbach conjecture
The Goldbach conjecture is a famous unsolved problem in number theory asserting that every even integer greater than 2 can be expressed as the sum of two prime numbers.
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D.
Siegel–Walfisz theorem
The Siegel–Walfisz theorem is a result in analytic number theory that gives strong uniform estimates for the distribution of prime numbers in arithmetic progressions with relatively small moduli.
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E.
Chebyshev functions
Chebyshev functions are arithmetic functions in number theory that encode information about the distribution of prime numbers and play a key role in analytic approaches to the prime number theorem.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Goldbach function Target entity description: The Goldbach function is an arithmetic function that counts the number of ways an even integer can be expressed as the sum of two prime numbers, reflecting the structure underlying the Goldbach conjecture.
-
A.
Goldbach
Goldbach is a small river flowing through the town of Blankenburg in the Harz region of Germany.
-
B.
Goldbach
Goldbach is a locality within the municipality of Küsnacht in the canton of Zürich, Switzerland, situated along the shores of Lake Zurich.
-
C.
Goldbach conjecture
The Goldbach conjecture is a famous unsolved problem in number theory asserting that every even integer greater than 2 can be expressed as the sum of two prime numbers.
-
D.
Siegel–Walfisz theorem
The Siegel–Walfisz theorem is a result in analytic number theory that gives strong uniform estimates for the distribution of prime numbers in arithmetic progressions with relatively small moduli.
-
E.
Chebyshev functions
Chebyshev functions are arithmetic functions in number theory that encode information about the distribution of prime numbers and play a key role in analytic approaches to the prime number theorem.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.