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
Famous quotes containing the word conjecture:
“What these perplexities of my uncle Toby were,tis impossible for you to guess;Mif you could,I should blush ... as an author; inasmuch as I set no small store by myself upon this very account, that my reader has never yet been able to guess at any thing. And ... if I thought you was able to form the least ... conjecture to yourself, of what was to come in the next page,I would tear it out of my book.”
—Laurence Sterne (17131768)