Verified Results
For small values of n, the strong Goldbach conjecture (and hence the weak Goldbach conjecture) can be verified directly. For instance, Nils Pipping in 1938 laboriously verified the conjecture up to n ≤ 105. With the advent of computers, many more values of n have been checked; T. Oliveira e Silva is running a distributed computer search that has verified the conjecture for n ≤ 4 × 1018 (and double-checked up to 2 × 1017).
Read more about this topic: Goldbach's Conjecture
Famous quotes containing the words verified and/or results:
“Essential truth, the truth of the intellectualists, the truth with no one thinking it, is like the coat that fits tho no one has ever tried it on, like the music that no ear has listened to. It is less real, not more real, than the verified article; and to attribute a superior degree of glory to it seems little more than a piece of perverse abstraction-worship.”
—William James (1842–1910)
“The chief benefit, which results from philosophy, arises in an indirect manner, and proceeds more from its secret, insensible influence, than from its immediate application.”
—David Hume (1711–1776)