Frank Nelson Cole
E422692
Frank Nelson Cole was an American mathematician known for his work in number theory and for famously factoring large numbers by hand, with a prestigious algebra prize later established in his honor.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Frank Nelson Cole canonical | 3 |
How this entity was disambiguated
This entity first appeared as the object of triple T4227975 — 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: Frank Nelson Cole Context triple: [Frank Nelson Cole Prize in Algebra, namedAfter, Frank Nelson Cole]
-
A.
Louis Mordell
Louis Mordell was a prominent British mathematician known for his influential work in number theory, particularly the Mordell conjecture and the Mordell–Weil theorem.
-
B.
Frank Morgan
Frank Morgan was an American character actor best known for playing multiple roles, including the title character, in the classic 1939 film "The Wizard of Oz."
-
C.
John Charles Fields
John Charles Fields was a Canadian mathematician best known for founding and endowing the Fields Medal, one of the most prestigious awards in mathematics.
-
D.
Harold Davenport
Harold Davenport was a prominent 20th-century British mathematician renowned for his contributions to number theory and his influential role as a doctoral advisor to many leading mathematicians.
-
E.
Maxime Bôcher
Maxime Bôcher was an American mathematician known for his work in differential equations and analysis, and for his influential role in early 20th-century American mathematics.
- 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: Frank Nelson Cole Target entity description: Frank Nelson Cole was an American mathematician known for his work in number theory and for famously factoring large numbers by hand, with a prestigious algebra prize later established in his honor.
-
A.
Louis Mordell
Louis Mordell was a prominent British mathematician known for his influential work in number theory, particularly the Mordell conjecture and the Mordell–Weil theorem.
-
B.
Frank Morgan
Frank Morgan was an American character actor best known for playing multiple roles, including the title character, in the classic 1939 film "The Wizard of Oz."
-
C.
John Charles Fields
John Charles Fields was a Canadian mathematician best known for founding and endowing the Fields Medal, one of the most prestigious awards in mathematics.
-
D.
Harold Davenport
Harold Davenport was a prominent 20th-century British mathematician renowned for his contributions to number theory and his influential role as a doctoral advisor to many leading mathematicians.
-
E.
Maxime Bôcher
Maxime Bôcher was an American mathematician known for his work in differential equations and analysis, and for his influential role in early 20th-century American mathematics.
- F. None of above. chosen
Statements (38)
| Predicate | Object |
|---|---|
| instanceOf |
American mathematician
ⓘ
human ⓘ mathematician ⓘ |
| academicDegree | PhD in mathematics ⓘ |
| awardReceived |
honor of having the Frank Nelson Cole Prize in Algebra named after him
ⓘ
honor of having the Frank Nelson Cole Prize in Number Theory named after him ⓘ |
| birthName | Frank Nelson Cole ⓘ |
| countryOfCitizenship | United States of America ⓘ |
| dateOfBirth | 1861-09-20 ⓘ |
| dateOfDeath | 1926-05-26 ⓘ |
| doctoralAdvisor |
Hermann Schwarz
ⓘ
linked to:
Hermann Amandus Schwarz
Leopold Kronecker ⓘ |
| educatedAt | Harvard University ⓘ |
| employer |
Columbia University
ⓘ
University of Michigan ⓘ |
| familyName | Cole ⓘ |
| fieldOfWork |
algebra
ⓘ
mathematics ⓘ number theory ⓘ |
| genre | mathematical research ⓘ |
| givenName | Frank ⓘ |
| hasHonorificEponym |
Frank Nelson Cole Prize in Algebra
ⓘ
Frank Nelson Cole Prize in Number Theory ⓘ |
| knownFor |
factoring 2^67 − 1 by hand
ⓘ
presenting the factorization of 2^67 − 1 without words ⓘ |
| languageOfWorkOrName | English ⓘ |
| memberOf | American Mathematical Society ⓘ |
| notableFor |
Cole Prize in Algebra being named in his honor
ⓘ
factoring large numbers by hand ⓘ work in number theory ⓘ |
| notableWork | factorization of 2^67 − 1 ⓘ |
| occupation | university teacher ⓘ |
| placeOfBirth |
Ashland, Massachusetts, United States of America
ⓘ
linked to:
Ashland, Massachusetts
|
| placeOfDeath | New York City, New York, United States of America ⓘ |
| positionHeld |
president of the American Mathematical Society
ⓘ
secretary of the American Mathematical Society ⓘ |
| workLocation |
Ann Arbor, Michigan
ⓘ
linked to:
Ann Arbor
New York City, New York ⓘ
linked to:
New York City
|
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: Frank Nelson Cole Description of subject: Frank Nelson Cole was an American mathematician known for his work in number theory and for famously factoring large numbers by hand, with a prestigious algebra prize later established in his honor.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.