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:
“Don Pedro. Officers, what offence have these men done?
Dogberry. Marry, sir, they have committed false report; moreover they have spoken untruths; secondarily, they are slanders; sixth and lastly, they have belied a lady; thirdly, they have verified unjust things; and, to conclude, they are lying knaves.”
—William Shakespeare (15641616)
“The study and knowledge of the universe would somehow be lame and defective were no practical results to follow.”
—Marcus Tullius Cicero (10643 B.C.)