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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 EuclidGauss and EulerHardy and RamanujanWiles and Nash

Answer»

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


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