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Theorem

Chen's Theorem

Number Theory

Chen's theorem is a result in number theory stating that every sufficiently large even number can be written as the sum of either two primes or a prime and a semiprime, a number that is the product of exactly two primes. It is a weakened form of Goldbach's conjecture, which asserts more strongly that every even number is the sum of two primes. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Statement
Every sufficiently large even number can be written as the sum of either two primes or a prime and a semiprime. 1
Classification
Statement Form
Existence Theorem 1
Connections

Has Statement Form

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

In Branch

Source Chen's theorem (Wikipedia)
Sources
1. Chen's theorem (Wikipedia)
  • Introduction
    every sufficiently large even number can be written as the sum of either two primes or a prime and a semiprime
  • In Branch: Number Theory, Lead sentence
    In number theory, Chen's theorem states that every sufficiently large even number can be written as the sum of either two primes o
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