The "33 as sum of 3 cubes solved" problem is significant because it is one of the oldest and most well-known unsolved problems in mathematics. It has been studied for over 200 years and has been attempted by many famous mathematicians, including Leonhard Euler and Pierre de Fermat.
The specific problem being addressed is finding three integers, a, b, and c, such that a³ + b³ + c³ = 33. This problem is also known as the "sum of three cubes problem."
The "33 as sum of 3 cubes solved" problem was solved by mathematician Andrew Booker in 2019. He used a new algorithm and a powerful computer to find the solution, which was previously thought to be impossible.
Yes, the solution to the "33 as sum of 3 cubes solved" problem is unique. This means that there is only one set of three integers that satisfy the equation a³ + b³ + c³ = 33. However, there may be multiple solutions to similar problems, such as finding three cubes that sum to a different number.
The solution to the "33 as sum of 3 cubes solved" problem has implications in the field of number theory. It provides insight into the structure of numbers and how they can be expressed as sums of cubes. It also opens up possibilities for solving other unsolved problems in mathematics using similar methods.