Question

1729- the smallest number that can be expressed as a sum of two cubes in two different ways is named after which two mathematicians?
Pythagoras and Euclid
Gauss and Euler
Hardy and Ramanujan
Wiles and Nash

Answer 1

Answer:

Hardy and Ramanujan

Answer 2

1729- the smallest number that can be expressed as a sum of two cubes in two different ways is named after two mathematicians Hardy and Ramanujan.

• 1729 is the special number that is also known as the Hardy-Ramunajan number.

• Once Hardy went to the hospital to visit Ramanujan. Hardy said him that he came in a taxi having the number 1729 and described it as a dull number.

• Ramanujan replied that it is an interesting number. 1729 is the smallest number that can be expressed as a sum of two cubes in two different ways.

The two different ways are:

⇒ 1³ + 12³ = 1729

⇒ 1 + 1728 = 1729

___________________

⇒ 9³ + 10³ = 1729

⇒ 729 + 1000 = 1729