Mersenne
E609409
French-language surname
class of prime numbers
human
integer sequence
mathematician
physical law
prime number
pseudorandom number generator
surname
theologian
Mersenne is a French surname most famously associated with Marin Mersenne, a 17th-century mathematician and theologian known for his work on prime numbers and acoustics.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Mersenne canonical | 2 |
| Mersenne primes | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T6642020 — 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: Mersenne Context triple: [Marin Mersenne, familyName, Mersenne]
-
A.
Fermat number
A Fermat number is a special type of integer of the form \(F_n = 2^{2^n} + 1\), studied in number theory for its intriguing properties related to primality and constructible polygons.
-
B.
Atkin
Atkin is an English surname, typically derived as a diminutive or pet form of the given name Adam.
-
C.
Carmichael number
A Carmichael number is a composite integer that nonetheless satisfies Fermat's primality test for all bases coprime to it, making it a classic example of a Fermat pseudoprime.
-
D.
Prime
Prime is one of the traditional canonical hours in the Christian liturgy of the hours, historically recited in the early morning.
-
E.
Blum integer
A Blum integer is a special type of composite number formed as the product of two distinct prime numbers each congruent to 3 modulo 4, widely used in cryptography and pseudorandom number generation.
- 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: Mersenne Target entity description: Mersenne is a French surname most famously associated with Marin Mersenne, a 17th-century mathematician and theologian known for his work on prime numbers and acoustics.
-
A.
Fermat number
A Fermat number is a special type of integer of the form \(F_n = 2^{2^n} + 1\), studied in number theory for its intriguing properties related to primality and constructible polygons.
-
B.
Atkin
Atkin is an English surname, typically derived as a diminutive or pet form of the given name Adam.
-
C.
Carmichael number
A Carmichael number is a composite integer that nonetheless satisfies Fermat's primality test for all bases coprime to it, making it a classic example of a Fermat pseudoprime.
-
D.
Prime
Prime is one of the traditional canonical hours in the Christian liturgy of the hours, historically recited in the early morning.
-
E.
Blum integer
A Blum integer is a special type of composite number formed as the product of two distinct prime numbers each congruent to 3 modulo 4, widely used in cryptography and pseudorandom number generation.
- F. None of above. chosen
Statements (30)
| Predicate | Object |
|---|---|
| instanceOf |
French-language surname
ⓘ
class of prime numbers ⓘ human ⓘ integer sequence ⓘ mathematician ⓘ physical law ⓘ prime number ⓘ pseudorandom number generator ⓘ surname ⓘ theologian ⓘ |
| countryOfCitizenship | France ⓘ |
| familyName | Mersenne ⓘ |
| fieldOfWork |
acoustics
ⓘ
number theory ⓘ |
| hasEponymousConcept |
Mersenne number
ⓘ
linked to:
Mersenne primes
Mersenne prime ⓘ Mersenne primes ⓘ Mersenne twister ⓘ
linked to:
MersenneTwister
Mersenne’s laws of acoustics ⓘ
linked to:
Mersenne’s laws of vibrating strings
|
| hasForm | 2^p − 1 ⓘ |
| hasNotableBearer | Marin Mersenne ⓘ |
| knownFor |
Mersenne primes
ⓘ
linked to:
Mersenne
work on acoustics ⓘ work on prime numbers ⓘ |
| languageOfOrigin | French ⓘ |
| namedAfter |
Marin Mersenne
ⓘ
Marin Mersenne ⓘ Marin Mersenne ⓘ Marin Mersenne ⓘ Mersenne primes ⓘ |
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: Mersenne Description of subject: Mersenne is a French surname most famously associated with Marin Mersenne, a 17th-century mathematician and theologian known for his work on prime numbers and acoustics.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.