Can you solve it? The London cab that rode into history

London's 1729 licence plate has long been synonymous with the city's rich history of mathematics and innovation. For G.H. Hardy, a chance encounter with his Indian colleague Srinivasa Ramanujan on a hansom cab in 1919 would change his life forever.

The story goes that Hardy spotted the licence plate - number 1729 - on the cab and thought it dull, but Ramanujan was adamant that it was anything but. "It is a very interesting number," he said, "for it is the smallest number expressible as the sum of two cubes in two different ways: 1^3 + 12^3 = 9^3 + 10^3."

Hardy's anecdote would go on to inspire a mathematical concept - known as taxicab numbers - which refers to any number that can be expressed as the smallest sum of two cubes in 'n' different ways. And, it seems, this idea is about to take center stage in London with the opening of its very own maths school, aptly named the 1729 Maths School.

This innovative institution aims to nurture top mathematical talent from a young age and has already garnered significant backing from maths philanthropists Alex Gerko and Elena. With bursaries available for students who cannot afford the fees, this school promises to be a game-changer for London's next generation of mathematicians.

As London continues to thrive as a hub for mathematics and innovation, one thing is certain - the city will always have a knack for producing remarkable stories, like that of G.H. Hardy and Srinivasa Ramanujan, which continue to inspire generations of mathematicians to come.

Now, onto this week's puzzles! But before we dive in, let us take a moment to appreciate the iconic London taxi - an integral part of the city's fabric. What is it about these classic vehicles that continues to captivate us?
 
omg i just love london ๐Ÿ‡ฌ๐Ÿ‡ง so much! but anyway, back to maths... i never knew there were numbers that could be expressed as sum of two cubes in different ways?! that sounds like magic lol. can someone explain how that works? like, 1^3 + 12^3 = ? i dont get it ๐Ÿค”

and btw, have you ever seen a real hansom cab from the olden days? they look so cool ๐ŸŽฉ๐Ÿš‚. is it possible to drive one nowadays?
 
I'm loving the idea of the 1729 Maths School ๐Ÿค“๐Ÿ“š! It's amazing how something as simple as a licence plate can inspire a whole school dedicated to nurturing future geniuses in maths ๐ŸŽฏ. And I gotta say, it's great that they're offering bursaries for students who can't afford the fees - that's just so cool ๐Ÿ˜Š. It's like Alex Gerko and Elena are spreading the love of maths far and wide ๐Ÿ’–. I mean, what's not to love about a city that produces stories like G.H. Hardy and Srinivasa Ramanujan? ๐Ÿค“๐Ÿ’ก
 
OMG, you gotta love how maths and history can collide like this ๐Ÿคฏ๐Ÿ“š! 1729 licence plate all day for me! ๐Ÿ˜‚ I mean, who wouldn't wanna be part of the story behind one of the most interesting numbers ever ๐Ÿ’ก. And now we got a whole school dedicated to nurturing math talent? That's pure genius ๐Ÿง ๐Ÿ’ป! It's like, imagine having this amazing resource right in your backyard, and it's not just about solving equations, but also learning from legendary mathematicians like Ramanujan ๐Ÿ™Œ. I'm totes excited for the future of maths education in London! ๐ŸŽ‰ #MathsInnovation #LondonPride #TaxicabNumbers
 
The 1729 Maths School sounds like a total game-changer for young math whizzes! I mean, can you imagine having top-notch maths education right in your backyard? The fact that they've got bursaries available for students who need financial help is genius too ๐Ÿค“. I'm sure it's going to be a hotspot for future geniuses!
 
I think what I love about old school London taxis is how they just seem to blend into the scenery, you know? Like they're just a part of the everyday landscape, not some fancy new gadget. And those licence plates - I mean, who needs some fancy plate with numbers when you can have something as cool as 1729?! Plus, can you imagine running into your Indian maths legend on a hansom cab and changing your life forever? That's just awesome! The fact that they're opening this school dedicated to taxicab numbers is so inspiring too - it's like the city is embracing its quirky side.
 
aww man... can you even imagine how cool it must've been for Hardy to meet Ramanujan like that?! ๐Ÿคฏ and now we got this amazing school dedicated to those kinds of mind-blowing encounters... 1729 is literally the most interesting number ever ๐Ÿ˜‚. I love that maths can still bring people together like that. and I'm all about supporting schools that help gifted kids develop their passions, especially when it comes to STEM fields ๐Ÿค“๐Ÿ’ก. the fact that this school has bursaries for students who need them just takes it to a whole new level โค๏ธ
 
I mean, have you ever noticed how old-school London taxis just exude character? Like they're carrying secrets and stories around with them ๐Ÿš—๐Ÿ‘€. I think what I love most is the way they seem to be from another era - like, they've seen it all, right? And now we're getting a whole school dedicated to math, which is pretty cool...I guess what's interesting about 1729 though? Is it really that special or was Hardy just having a bad day with his taxi fare? ๐Ÿค”๐Ÿ“
 
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