goldbach's conjecture: meaning, definition, pronunciation and examples
Very LowAcademic/Technical
Quick answer
What does “goldbach's conjecture” mean?
An unsolved problem in number theory proposing that every even integer greater than 2 can be expressed as the sum of two prime numbers.
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Pronunciation
Definition
Meaning and Definition
An unsolved problem in number theory proposing that every even integer greater than 2 can be expressed as the sum of two prime numbers.
A famous, long-standing open question in pure mathematics that has stimulated significant research in additive number theory, often used as a paradigmatic example of an easily stated but notoriously difficult mathematical problem.
Dialectal Variation
British vs American Usage
Differences
No significant lexical differences. Spelling of related terms may follow regional conventions (e.g., 'mathematics' vs. 'maths').
Connotations
Identical technical connotations in academic circles globally.
Frequency
Used exclusively in mathematical contexts with equal rarity in both varieties.
Grammar
How to Use “goldbach's conjecture” in a Sentence
Researchers aim to [prove/disprove] Goldbach's conjecture.The lecture [concerned/covered] Goldbach's conjecture.Vocabulary
Collocations
Usage
Meaning in Context
Business
Virtually never used.
Academic
Exclusively used in mathematics, particularly in number theory lectures, papers, and discussions.
Everyday
Extremely rare; might appear in puzzles, popular science, or trivia contexts.
Technical
The primary domain of use; refers to a specific research problem with defined parameters and related sub-conjectures.
Vocabulary
Synonyms of “goldbach's conjecture”
Neutral
Weak
Vocabulary
Antonyms of “goldbach's conjecture”
Watch out
Common Mistakes When Using “goldbach's conjecture”
- Misspelling as 'Goldbatch' or 'Goldback'. Incorrectly stating it applies to odd numbers. Using lowercase 'g'.
FAQ
Frequently Asked Questions
No, it remains an unproven conjecture, although it has been verified for very large even numbers.
The conjecture was first proposed in a letter from Christian Goldbach to Leonhard Euler in 1742.
The weak Goldbach conjecture states that every odd integer greater than 5 can be expressed as the sum of three primes. This was proven in 2013.
It is famous for its simple formulation that even a child can understand, contrasting sharply with its profound resistance to proof, making it a symbol of mathematical depth and mystery.
An unsolved problem in number theory proposing that every even integer greater than 2 can be expressed as the sum of two prime numbers.
Goldbach's conjecture is usually academic/technical in register.
Goldbach's conjecture: in British English it is pronounced /ˈɡəʊldbɑːx‿s kənˈdʒɛk.tʃə(r)/, and in American English it is pronounced /ˈɡoʊldbɑːks‿kənˈdʒɛk.tʃɚ/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think 'GOLD' medals are for winners, but this BACH (like the composer) of a problem hasn't been won yet; it's a CONJECTURE.
Conceptual Metaphor
An unfinished puzzle; a mountain yet to be climbed in the landscape of mathematics.
Practice
Quiz
What does Goldbach's conjecture propose?