Thanks! It seems they mentioned this in the article as well: "A major result would be to prove the conjecture that k = x³ + y³ + z³ has infinitely many solutio

Thanks! It seems they mentioned this in the article as well: "A major result would be to prove the conjecture that k = x³ + y³ + z³ has infinitely many solutions for every whole number k, except those k that have a remainder of 4 or 5 after being divided by 9."