Carl Pomerance
E734842
Carl Pomerance is an American mathematician renowned for his contributions to number theory, particularly in computational number theory and primality testing.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Carl Pomerance canonical | 3 |
How this entity was disambiguated
This entity first appeared as the object of triple T8448926 — 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: Carl Pomerance Context triple: [Adleman–Pomerance–Rumely primality test, namedAfter, Carl Pomerance]
-
A.
Ken Ribet
Ken Ribet is an American mathematician known for his work in number theory, particularly his proof of the epsilon conjecture, which played a crucial role in the eventual proof of Fermat’s Last Theorem.
-
B.
Emil C. Gotschlich
Emil C. Gotschlich was an American physician and microbiologist renowned for developing the first effective vaccines against meningococcal meningitis.
-
C.
Philip J. Davis
Philip J. Davis was an American mathematician and prolific author known for his influential works on numerical analysis, the history and philosophy of mathematics, and popular mathematical writing.
-
D.
Richard Lipton
Richard Lipton is an American computer scientist known for his influential work in theoretical computer science and cryptography, including contributions to complexity theory and algorithm design.
-
E.
Ronald L. Graham
Ronald L. Graham was an influential American mathematician known for his pioneering work in combinatorics, discrete mathematics, and computational geometry, as well as for popularizing mathematics through both research and expository writing.
- 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: Carl Pomerance Target entity description: Carl Pomerance is an American mathematician renowned for his contributions to number theory, particularly in computational number theory and primality testing.
-
A.
Ken Ribet
Ken Ribet is an American mathematician known for his work in number theory, particularly his proof of the epsilon conjecture, which played a crucial role in the eventual proof of Fermat’s Last Theorem.
-
B.
Emil C. Gotschlich
Emil C. Gotschlich was an American physician and microbiologist renowned for developing the first effective vaccines against meningococcal meningitis.
-
C.
Philip J. Davis
Philip J. Davis was an American mathematician and prolific author known for his influential works on numerical analysis, the history and philosophy of mathematics, and popular mathematical writing.
-
D.
Richard Lipton
Richard Lipton is an American computer scientist known for his influential work in theoretical computer science and cryptography, including contributions to complexity theory and algorithm design.
-
E.
Ronald L. Graham
Ronald L. Graham was an influential American mathematician known for his pioneering work in combinatorics, discrete mathematics, and computational geometry, as well as for popularizing mathematics through both research and expository writing.
- F. None of above. chosen
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
human
ⓘ
mathematician ⓘ |
| areaOfInfluence | modern computational number theory ⓘ |
| awardReceived |
Chauvenet Prize
ⓘ
Conant Prize ⓘ
linked to:
Levi L. Conant Prize
Fellow of the American Mathematical Society ⓘ |
| citizenship | American ⓘ |
| coAuthor | Richard Crandall ⓘ |
| countryOfCitizenship | United States of America ⓘ |
| educatedAt |
Brown University
ⓘ
University of California, Berkeley ⓘ |
| employer |
Dartmouth College
ⓘ
University of Georgia ⓘ |
| familyName | Pomerance ⓘ |
| fieldOfWork |
analytic number theory
ⓘ
computational number theory ⓘ mathematics ⓘ number theory ⓘ primality testing ⓘ probabilistic number theory ⓘ |
| gender | male ⓘ |
| givenName | Carl ⓘ |
| hasAcademicAdvisor |
John Selfridge
ⓘ
linked to:
John L. Selfridge
|
| influenced |
research on integer factorization algorithms
ⓘ
research on probabilistic primality tests ⓘ |
| knownFor |
Cohen–Lenstra heuristics on class groups
ⓘ
Pomerance primality test ⓘ
linked to:
Adleman–Pomerance–Rumely primality test
Pomerance–Selfridge–Wagstaff conjecture ⓘ contributions to number theory ⓘ research on Carmichael numbers ⓘ research on pseudoprimes ⓘ research on smooth numbers ⓘ work in computational number theory ⓘ work on primality testing ⓘ |
| languageSpoken | English ⓘ |
| memberOf |
American Mathematical Society
ⓘ
Mathematical Association of America ⓘ |
| name | Carl Pomerance ⓘ |
| notableStudent | Andrew Granville ⓘ |
| notableWork |
co-authorship of the book "Prime Numbers: A Computational Perspective"
ⓘ
expository articles on prime numbers and factoring ⓘ |
| occupation | university professor ⓘ |
| positionHeld |
professor of mathematics at Dartmouth College
ⓘ
professor of mathematics at the University of Georgia ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Carl Pomerance Description of subject: Carl Pomerance is an American mathematician renowned for his contributions to number theory, particularly in computational number theory and primality testing.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.