## Sum Of Cubes: a^3+b^3=1729

The inspiration for the name of this website comes from the story of the interatction between G.H. Hardy and Ramanujan. Ramanujan was in the hospital and word was sent to Hardy. Upon hearing the news, Hardy rushed to see Ramanujan. He hailed a taxi. As he stepped into the Taxi he noticed it was numbered 1729. He remembered the number because he knew that Ramanujan loved numbers and patterns, even though, he, Hardy, so this interest as a silly game. Upon arriving at the hospital and entering Ramanujan's room, Hardy exclaimed, "I took the first taxi I could. It was taxi number 1729. What an uninteresting number."

As the story has been told through the years, without any hesitation, Ramanujan replied, "My Dear Hardy, actually 1729 is a rather interesting number. It is the smallest number that is the sum of two natural number cubes, two different ways."

As the story has been told through the years, without any hesitation, Ramanujan replied, "My Dear Hardy, actually 1729 is a rather interesting number. It is the smallest number that is the sum of two natural number cubes, two different ways."

## Thomas Glass, Shasta College Math Instructor

Office: 1111

Phone: (530) 242-2310

email: tglass@shastacollege.edu

Office hours: Monday: 10 to 11 am;

Tuesday and Thursday: 10 am to Noon.

Phone: (530) 242-2310

email: tglass@shastacollege.edu

Office hours: Monday: 10 to 11 am;

Tuesday and Thursday: 10 am to Noon.