Q. Which of the following numbers is called Hardy–Ramanujan number or most famous taxicab number?
Answer:
1729
Notes: National Mathematics Day is celebrated on December 22nd every year to honor the birth anniversary of Srinivasa Ramanujan, a renowned Indian mathematician. The day recognizes his contributions to the field of mathematics and aims to raise awareness about its importance. The International Day of Mathematics is celebrated on March 14th and is also known as Pi Day.
The number 1729 is known as the Hardy–Ramanujan number after a famous visit by Hardy to see Ramanujan at a hospital. About this number, Ramanujan remarked that "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways."