results of Chen Jingrun on Goldbach-type problems
E1325994
UNEXPLORED
The results of Chen Jingrun on Goldbach-type problems are landmark achievements in analytic number theory, most notably his theorem showing that every sufficiently large even integer can be expressed as the sum of a prime and a number with at most two prime factors (a “Chen prime” representation).
All labels observed (3)
| Label | Occurrences |
|---|---|
| Chen’s theorem | 1 |
| Chen’s theorem on Goldbach’s conjecture | 1 |
| results of Chen Jingrun on Goldbach-type problems canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T18479722 — 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.
Target entity: results of Chen Jingrun on Goldbach-type problems Context triple: [Vinogradov's three-primes theorem, strengthenedBy, results of Chen Jingrun on Goldbach-type problems]
-
A.
Vinogradov's three-primes theorem
Vinogradov's three-primes theorem is a landmark result in analytic number theory proving that every sufficiently large odd integer can be expressed as the sum of three prime numbers.
-
B.
Piatetski-Shapiro prime number theorem
The Piatetski-Shapiro prime number theorem is a result in analytic number theory that establishes the existence of infinitely many primes among the values of certain non-integer power sequences, such as ⌊n^c⌋ for suitable real exponents c.
-
C.
Linnik’s theorem on the least prime in an arithmetic progression
Linnik’s theorem on the least prime in an arithmetic progression is a result in analytic number theory that gives an explicit upper bound, depending only on the modulus, for the size of the smallest prime in any given coprime residue class.
-
D.
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
Über die Anzahl der Primzahlen unter einer gegebenen Grösse is Bernhard Riemann’s seminal 1859 paper that introduced the Riemann zeta function and laid the foundations of analytic number theory, including the famous Riemann Hypothesis.
-
E.
Unsolved Problems in Number Theory
*Unsolved Problems in Number Theory* is a classic reference book that surveys a wide range of open questions and conjectures in number theory, often with historical context and extensive bibliographic notes.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: results of Chen Jingrun on Goldbach-type problems Target entity description: The results of Chen Jingrun on Goldbach-type problems are landmark achievements in analytic number theory, most notably his theorem showing that every sufficiently large even integer can be expressed as the sum of a prime and a number with at most two prime factors (a “Chen prime” representation).
-
A.
Vinogradov's three-primes theorem
Vinogradov's three-primes theorem is a landmark result in analytic number theory proving that every sufficiently large odd integer can be expressed as the sum of three prime numbers.
-
B.
Piatetski-Shapiro prime number theorem
The Piatetski-Shapiro prime number theorem is a result in analytic number theory that establishes the existence of infinitely many primes among the values of certain non-integer power sequences, such as ⌊n^c⌋ for suitable real exponents c.
-
C.
Linnik’s theorem on the least prime in an arithmetic progression
Linnik’s theorem on the least prime in an arithmetic progression is a result in analytic number theory that gives an explicit upper bound, depending only on the modulus, for the size of the smallest prime in any given coprime residue class.
-
D.
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
Über die Anzahl der Primzahlen unter einer gegebenen Grösse is Bernhard Riemann’s seminal 1859 paper that introduced the Riemann zeta function and laid the foundations of analytic number theory, including the famous Riemann Hypothesis.
-
E.
Unsolved Problems in Number Theory
*Unsolved Problems in Number Theory* is a classic reference book that surveys a wide range of open questions and conjectures in number theory, often with historical context and extensive bibliographic notes.
- F. None of above. chosen
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.