A small but significant number in London cab lore has become synonymous with mathematical brilliance - the licence plate 1729. For G.H. Hardy, a British mathematician who boarded a London cab on his way to meet his Indian colleague Srinivasa Ramanujan in 1919, this ordinary-seeming number held extraordinary significance.
The story begins when Ramanujan, upon spotting the taxi's licence plate, exclaimed, "It is a very interesting number... it is the smallest number expressible as the sum of two cubes in two different ways." Hardy's anecdote has since become one of the most well-known in British mathematics, inspiring what's known as taxicab numbers - any number that can be expressed as the sum of two cubes in n different ways.
Today, this fascination with 1729 continues to inspire innovation. In fact, the UK is set to launch its first specialist maths secondary school, aptly named the 1729 Maths School, which aims to nurture top mathematical talent from an early age. With backing from prominent mathematicians' philanthropists, the school promises to provide bursaries for pupils who cannot afford fees.
As London's iconic cabs continue to ferry passengers through the city streets, their licence plates may hold secrets of mathematical elegance - but only those with a keen eye can spot them. The puzzle enthusiasts among us will be delighted to tackle the three puzzles featured in this article, all linked to the captivating number 1729.
The story begins when Ramanujan, upon spotting the taxi's licence plate, exclaimed, "It is a very interesting number... it is the smallest number expressible as the sum of two cubes in two different ways." Hardy's anecdote has since become one of the most well-known in British mathematics, inspiring what's known as taxicab numbers - any number that can be expressed as the sum of two cubes in n different ways.
Today, this fascination with 1729 continues to inspire innovation. In fact, the UK is set to launch its first specialist maths secondary school, aptly named the 1729 Maths School, which aims to nurture top mathematical talent from an early age. With backing from prominent mathematicians' philanthropists, the school promises to provide bursaries for pupils who cannot afford fees.
As London's iconic cabs continue to ferry passengers through the city streets, their licence plates may hold secrets of mathematical elegance - but only those with a keen eye can spot them. The puzzle enthusiasts among us will be delighted to tackle the three puzzles featured in this article, all linked to the captivating number 1729.