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

oh man 🤯 i'm totally stoked about the 1729 Maths School opening up next year! can u imagine getting into a cab and thinking that the number on the plate could change ur life? 😂 anyway, math puzzles like "Square pair" are like the ultimate challenge for me - gotta get those neurons firing 💡 and see if i can crack it before the 18 students do in 2026 📚💻 what's also trippy is how something as simple as strips of wood with lengths 1-29cm can lead to a super cool problem that requires some serious thinking 🔍🤔
 
🤯 have you ever stopped to think about how the seemingly ordinary things in life like a taxi licence plate number can actually hold some really mind-blowing secrets? I mean, 1729 being the smallest number that can be expressed as the sum of two cubes in two different ways is just wild. It's like, our everyday experiences are actually hiding these hidden patterns and codes waiting to be uncovered... it's a bit existential, thinking about it like this 🤔 but also kinda cool? I think what's interesting here is how maths can help us appreciate the beauty in numbers and the world around us. The fact that there's a new maths school opening up with the goal of nurturing top talent from underrepresented groups is really inspiring too 👏 it just goes to show that maths isn't just for the geniuses, but anyone who's curious enough to explore its possibilities 🎓
 
so they're making a math school named after some random licence plate number? seems kinda weird to me... I mean what's so special about 1729? is it like a golden ratio or somethin'? and what's with all these weird puzzles? "Square pair" sounds like a total brain-twister 🤯. and then there's the wood strips thingy, like who even cares about that? and the multiplication problem is just so... basic 🙄 still think it's kinda cool tho that math geeks are excited about this stuff 😎
 
I'm tellin' ya, 1729 is like, the coolest number ever! I mean, who knew that a random taxi licence plate could be connected to some crazy math stuff? 😂 It's like, you gotta respect the brainpower of G.H. Hardy and Srinivasa Ramanujan for spotting that pattern.

And now there's this new maths school opening up in London? That's awesome, mate! 👏 Giving young minds a chance to explore all sorts of mathematical puzzles is just the best thing. I hope they're not makin' it too difficult, or they'll be stuck like me when I was at school 😅.

I'm actually more curious about these puzzle challenges now than I am about the number 1729 itself! "Square pair" sounds like a right brain-twister, and I love the idea of tryin' to figure out how many different lengths can be added to those strips without creatin' a triangle. And "Sick sixth"? That's some next-level math, innit? 🤯
 
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