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:
“There is something fascinating about science. One gets such wholesale returns of conjecture out of such a trifling investment of fact.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)