1729

The number 1729 is known as the "Hardy-Ramanujan number," famous in mathematics for being the smallest number expressible as the sum of two cubes in two different ways: 1³ + 12³ and 9³ + 10³. This unique property highlights its significance in number theory and showcases the depth of mathematical curiosity. Named after mathematicians G.H. Hardy and Srinivasa Ramanujan, the number symbolizes the beauty of patterns and connections within mathematics.