What is "the largest known one is 282?

The largest known value for a taxicab number, denoted as Ta(n), for which a complete solution is known, is Ta(6) = 282. This means that 282 is the largest number for which we have found six different sets of positive integers (a, b) such that a³ + b³ = 282. Discovering these taxicab numbers is a challenging problem in number theory. Finding further examples requires extensive computation.