goldbach conjecture: meaning, definition, pronunciation and examples
C2/TechnicalAcademic, Technical, Formal
Quick answer
What does “goldbach conjecture” mean?
A famous unproven mathematical conjecture that every even integer greater than 2 can be expressed as the sum of two prime numbers.
Audio
Pronunciation
Definition
Meaning and Definition
A famous unproven mathematical conjecture that every even integer greater than 2 can be expressed as the sum of two prime numbers.
A prominent unsolved problem in number theory, named after the 18th-century mathematician Christian Goldbach, representing a classic example of a mathematical conjecture that is empirically verified for vast numbers but remains without formal proof.
Dialectal Variation
British vs American Usage
Differences
No substantive differences. Spelling of related words may follow national conventions (e.g., BrE 'conjecture' / AmE 'conjecture' are identical).
Connotations
Identical technical and academic connotations.
Frequency
Equally rare in general discourse, appearing only in specific mathematical contexts.
Grammar
How to Use “goldbach conjecture” in a Sentence
[Subject] + prove/verify/disprove + the Goldbach conjectureThe Goldbach conjecture + states/asserts/holds + that...Vocabulary
Collocations
Examples
Examples of “goldbach conjecture” in a Sentence
adjective
British English
- Goldbach-type problems are fascinating.
- A Goldbach-related result was published.
American English
- Goldbach-style conjectures are explored.
- A Goldbach-inspired algorithm was developed.
Usage
Meaning in Context
Business
Virtually never used.
Academic
Used in mathematics, particularly in number theory, history of mathematics, and theoretical computer science publications and lectures.
Everyday
Extremely rare; might appear in puzzles, trivia, or popular science contexts.
Technical
Core term in mathematical research papers and discussions concerning prime numbers and additive number theory.
Vocabulary
Synonyms of “goldbach conjecture”
Neutral
Weak
Vocabulary
Antonyms of “goldbach conjecture”
Watch out
Common Mistakes When Using “goldbach conjecture”
- Incorrect capitalization: 'goldbach conjecture'.
- Omitting the definite article: 'He studied Goldbach conjecture.' (Correct: '...the Goldbach conjecture.').
- Using plural verb incorrectly: 'The Goldbach conjecture state...' (Correct: '...states').
FAQ
Frequently Asked Questions
No, it remains one of the oldest and best-known unsolved problems in all of mathematics.
The 'strong' conjecture (discussed here) states every even integer >2 is the sum of two primes. The 'weak' conjecture states every odd integer >5 is the sum of three primes; the weak version was proven in 2013.
A theorem is a statement that has been proven true. A conjecture is a proposition that is suspected to be true based on evidence but lacks a formal, rigorous proof accepted by the mathematical community.
Primarily in pure mathematics, specifically number theory. It also has relevance in theoretical computer science, particularly in areas exploring computational complexity and verification algorithms.
A famous unproven mathematical conjecture that every even integer greater than 2 can be expressed as the sum of two prime numbers.
Goldbach conjecture is usually academic, technical, formal in register.
Goldbach conjecture: in British English it is pronounced /ˈɡəʊldbɑːx kənˈdʒɛktʃə/, and in American English it is pronounced /ˈɡoʊldbɑːx kənˈdʒɛktʃər/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Imagine GOLD being BACH (the composer); his music is built from simple notes (primes) that can combine to form any even harmony (even number).
Conceptual Metaphor
AN UNSOLVED PUZZLE IS A MOUNTAIN PEAK; A CONJECTURE IS A MAP WITH A MISSING REGION.
Practice
Quiz
What does the Goldbach conjecture specifically concern?