Question

There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? Yes or No

Answer 1

I don't think so

Explanation:

• There are some numbers called the Taxi cabs
• they satisfy this relation : x³+y³=z³+a³ like the famous Ramanujin number 1729
• 1729 = 1³+12³=9³+10³
• there are four numbers (1,12,9,10)
• i don't think so that there are 3 numbers