Three Lectures on Fermat's Last Theorem
E640412
"Three Lectures on Fermat's Last Theorem" is a classic expository work in number theory in which Louis Mordell surveys the history, methods, and partial results surrounding Fermat's Last Theorem prior to its eventual proof.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Three Lectures on Fermat's Last Theorem canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7078814 — 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: Three Lectures on Fermat's Last Theorem Context triple: [Louis Mordell, notableWork, Three Lectures on Fermat's Last Theorem]
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A.
Three Pearls of Number Theory
Three Pearls of Number Theory is a classic mathematical text that presents three elegant and accessible problems in number theory, illustrating deep ideas through simple, beautifully explained examples.
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B.
Number Theory: An Approach through History from Hammurapi to Legendre
"Number Theory: An Approach through History from Hammurapi to Legendre" is a historical and expository book by André Weil that traces the development of number theory from ancient Mesopotamia to the early 19th century.
-
C.
Fermat's Last Theorem
Fermat's Last Theorem is a famous statement in number theory asserting that there are no whole-number solutions to the equation xⁿ + yⁿ = zⁿ for integers n greater than 2, a problem that remained unsolved for over three centuries until it was proved by Andrew Wiles in the 1990s.
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D.
Serre’s conjecture on Galois representations
Serre’s conjecture on Galois representations is a landmark statement in number theory that predicts which two-dimensional mod p Galois representations of the absolute Galois group of the rationals arise from modular forms.
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E.
A Course in Arithmetic
A Course in Arithmetic is a classic introductory text in number theory by Jean-Pierre Serre, renowned for its concise and elegant treatment of fundamental arithmetic and algebraic concepts.
- 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: Three Lectures on Fermat's Last Theorem Target entity description: "Three Lectures on Fermat's Last Theorem" is a classic expository work in number theory in which Louis Mordell surveys the history, methods, and partial results surrounding Fermat's Last Theorem prior to its eventual proof.
-
A.
Three Pearls of Number Theory
Three Pearls of Number Theory is a classic mathematical text that presents three elegant and accessible problems in number theory, illustrating deep ideas through simple, beautifully explained examples.
-
B.
Number Theory: An Approach through History from Hammurapi to Legendre
"Number Theory: An Approach through History from Hammurapi to Legendre" is a historical and expository book by André Weil that traces the development of number theory from ancient Mesopotamia to the early 19th century.
-
C.
Fermat's Last Theorem
Fermat's Last Theorem is a famous statement in number theory asserting that there are no whole-number solutions to the equation xⁿ + yⁿ = zⁿ for integers n greater than 2, a problem that remained unsolved for over three centuries until it was proved by Andrew Wiles in the 1990s.
-
D.
Serre’s conjecture on Galois representations
Serre’s conjecture on Galois representations is a landmark statement in number theory that predicts which two-dimensional mod p Galois representations of the absolute Galois group of the rationals arise from modular forms.
-
E.
A Course in Arithmetic
A Course in Arithmetic is a classic introductory text in number theory by Jean-Pierre Serre, renowned for its concise and elegant treatment of fundamental arithmetic and algebraic concepts.
- F. None of above. chosen
Statements (26)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
expository work ⓘ |
| author | Louis Mordell ⓘ |
| describes |
cyclotomic fields
ⓘ
ideal numbers ⓘ work of Euler on Fermat's Last Theorem ⓘ work of Kummer on Fermat's Last Theorem ⓘ work of Sophie Germain on Fermat's Last Theorem ⓘ |
| field | number theory ⓘ |
| focusesOnPeriod | pre‑Wiles research on Fermat's Last Theorem ⓘ |
| genre | mathematics literature ⓘ |
| hasFormat | print ⓘ |
| historicalContext | before Andrew Wiles's proof of Fermat's Last Theorem ⓘ |
| intendedAudience |
advanced students of mathematics
ⓘ
mathematicians ⓘ |
| isAbout |
Diophantine equations
ⓘ
rational solutions of polynomial equations ⓘ |
| language | English ⓘ |
| mainSubject | Fermat's Last Theorem ⓘ |
| surveys |
classical approaches to Fermat's Last Theorem
ⓘ
known partial proofs of Fermat's Last Theorem ⓘ limitations of existing methods for Fermat's Last Theorem ⓘ |
| topic |
history of Fermat's Last Theorem
ⓘ
methods related to Fermat's Last Theorem ⓘ partial results on Fermat's Last Theorem ⓘ |
| workDescribedBy | classic expository work in number theory ⓘ |
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: Three Lectures on Fermat's Last Theorem Description of subject: "Three Lectures on Fermat's Last Theorem" is a classic expository work in number theory in which Louis Mordell surveys the history, methods, and partial results surrounding Fermat's Last Theorem prior to its eventual proof.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.