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Hardy Ramanujam Numbers (Taxicab Numbers)
Last updated at July 30, 2025 by Teachoo
Perfect Cubes - and its Patterns
Class 8 (Ganita Prakash & Old NCERT)
Chapter 1 Class 8 - A Square and a Cube (Ganita Prakash)
- Introduction
- Square Numbers
- Perfect Squares - and its Properties
- Perfect Squares - and its Patterns
- Square Root
- Smallest number multiply or divide to get perfect square
- Estimating Square Root
- Figure it out - Page 10, 11
- Cubic Numbers
- Perfect Cubes - and its Properties
-
Perfect Cubes - and its Patterns
- Cube Root
- Smallest number multiply or divide to get perfect cube
- A pinch of History
- Figure it out - Page 16, 17
Transcript
Hardy Ramanujam Numbers (Taxicab Numbers) G.H. Hardy Srinivasa Ramanujan Once Ramanujan, who was in London, was sick. Hardy came to visit him in a Taxi. This was the conversation That’s a very dull number It’s a very interesting number It is the smallest number expressible as the sum of two cubes in two different ways From then on, Number 1729 is known as Hardy-Ramanujan Numbers 1729 can be expressed as 1729 = 13 + 123 Or 1729 = 93 + 103 Thus, 1729 is the smallest number that can be represented as sum of two cubes in two different ways
