Concept information
Preferred term
Goldbach's weak conjecture
Definition
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In number theory, Goldbach's weak conjecture, also known as the odd Goldbach conjecture, the ternary Goldbach problem, or the 3-primes problem, states that
Every odd number greater than 5 can be expressed as the sum of three primes.
(A prime may be used more than once in the same sum.)
This conjecture is called "weak" because if Goldbach's strong conjecture (concerning sums of two primes) is proven, then this would also be true. For if every even number greater than 4 is the sum of two odd primes, adding 3 to each even number greater than 4 will produce the odd numbers greater than 7 (and 7 itself is equal to 2+2+3).
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Goldbach%27s_weak_conjecture)
Broader concept
Entry terms
- 3-primes problem
- odd Goldbach conjecture
- ternary Goldbach problem
In other languages
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French
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conjecture impaire de Goldbach
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problème des trois nombres premiers
URI
http://data.loterre.fr/ark:/67375/PSR-X5PB8KK4-G
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