Goldbach conjecture (partial results)
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_result
|
| gptkbp:concerns |
prime numbers
even integers |
| gptkbp:field |
number theory
|
| gptkbp:implies |
every sufficiently large even number is the sum of two primes or a prime and a semiprime (Chen's theorem)
|
| gptkbp:notableAchievement |
gptkb:Deshouillers,_Effinger,_te_Riele,_Zinoviev_result_(1997)
gptkb:Chen's_theorem Helfgott's proof for odd Goldbach conjecture for large numbers |
| gptkbp:provenBy |
computer verification
even numbers up to 4 × 10^18 (as of 2013) |
| gptkbp:relatedTo |
gptkb:Goldbach_conjecture
|
| gptkbp:status |
unproven in general
|
| gptkbp:bfsParent |
gptkb:Analytic_number_theory
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Goldbach conjecture (partial results)
|