Adapted from Quanta Magazine: https://www.quantamagazine.org/
Mathematicians long wondered whether it’s possible to express the number 33 as the sum of three cubes — that is, whether the equation 33 = x³+ y³+ z³ has a solution. They knew that 29 could be written as 3³ + 1³ + 1³, for instance, whereas 32 is not expressible as the sum of three integers each raised to the third power. But the case of 33 went unsolved for 64 years.
Read the whole article here: Sum-of-Three-Cubes Problem Solved for ‘Stubborn’ Number 33