Goldbach's Conjecture

Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and in all of mathematics. It states:

Every even integer greater than 2 can be expressed as the sum of two primes.

The conjecture has been shown to hold up through 4 × 1018 and is generally assumed to be true, but remains unproven despite considerable effort.

Read more about Goldbach's Conjecture:  Goldbach Number, Origins, Verified Results, Heuristic Justification, Rigorous Results, Similar Questions, In Popular Culture

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