Multiple choice general knowledge

What is the significance of 1729 ?

  1. it’s a perfect square

  2. it’s a perfect square and a perfect cube

  3. it’s the sum of three perfect cubes

  4. it is the sum of cubes of 2 consecutive numbers

  5. sum of its digits is equal to sum of digits of its square

  6. it is the largest prime number
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D Correct answer
Explanation

The Hardy-Ramanujan number 1729 is famous as the smallest number expressible as the sum of two cubes in two different ways: 1³ + 12³ = 1729 and 9³ + 10³ = 1729.

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