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Goldbach's conjecture
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Conjecture that every even integer greater than 2 is the sum of two primes
Goldbach's conjecture states that every even number greater than 2 can be written as the sum of two prime numbers. Though mathematicians have tested this idea for enormous numbers and found it to be true in every case, nobody has been able to prove it's always correct, making it one of mathematics' most famous unsolved problems.
AI-generated from the Wikipedia summary — may contain errors.
In the Vinony graph
Within Vinony's link graph, Goldbach's conjecture is referenced by 142 other articles, and connects out to twin prime, American Mathematical Society and Ivan Vinogradov.
Vinony files it under Additive number theory, Analytic number theory and Conjectures about prime numbers.
Its subject is documented across 58 Wikipedia language editions.
Wikidata facts
- Instance of
- mathematical problem
- Named after
- Christian Goldbach
- Image
- Letter Goldbach-Euler.jpg
Show 3 more facts
- generalization of
- Chen's theorem
- Commons category
- Goldbach's conjecture
- maintained by WikiProject
- WikiProject Mathematics
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Encyclopedic overview
Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states that every even natural number greater than 2 is the sum of two prime numbers.
The conjecture has been shown to hold for all natural numbers less than 4×10, but remains unproven despite considerable effort.
Excerpted from Wikipedia’s “Goldbach's conjecture” article, available under the CC BY-SA 4.0 licence.