17291799

17291799 is a number that has gained notable attention due to its properties in number theory and its appearance in popular culture. It is the smallest number that can be expressed as the sum of two cubes in two different ways. Specifically, 17291799 can be written as 12^3 + 1^3 and also as 10^3 + 9^3. This property makes it a taxicab number, a concept introduced by the mathematician G.H. Hardy.

The number 17291799 is also known for its appearance in the novel "The Man Who Knew Infinity" by Robert Kanigel. The protagonist, Srinivasa Ramanujan, is said to have mentioned this number in a letter to the mathematician G.H. Hardy. This literary reference has contributed to the number's popularity and cultural significance.

In mathematical contexts, 17291799 is studied for its unique properties and its role in illustrating concepts related to number theory and combinatorics. Its appearance in both mathematical research and popular literature makes it an interesting subject for those interested in the intersection of mathematics and culture.