ED COPELAND: Hello. BRADY HARAN: I was going to ask you to describe this in terms that you would describe it to, say, your daughter. And then I remembered your daughter does economics at Cambridge. ED...

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SIMON PAMPENA: It's mind blowing. I learned this when I was at uni, the existence of transcendental numbers. And the name was a selling point. Because I was like, transcendental. You know,...

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DR. JAMES GRIME: So we're going to do a little mathematical trick that I'm hoping that people will like and they'll try out on their friends and family. So let's do it....

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TONY PADILLA: The guys at Aperiodical launched a little competition to find the integest sequence 2013. It's a little bit fun. It's not a serious thing. But basically, they've...

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JAMES GRIME: One of the reasons we're fascinated by primes is that they are quite weird in the way they behave. On one hand, they kind of feel random. They are turning up all over the place....

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BRADY HARAN: We did a video. I'd done it some time ago about Mersenne primes. And offhandedly, just off the cuff, I said that 1 wasn't a prime. Now, if I'm honest, we...

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MARK JAGO: We're going to talk about four paradoxes that touch on the topic of infinity. First one, we've got the Hilbert Hotel. This is a hotel with infinitely many rooms. And at the...

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ANTONIO PADILLA: Imagine you had a universe which was a googolplex meters across, OK, so a big universe. Then, that's very big. And if you actually traveled far enough in that universe, you...

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JAMES GRIME: Today, we're going to talk about one of the questions that we get sent in a lot at Numberphile, and the question is-- well, Brady, what's the question? BRADY HARAN: The...

BRADY HARAN: I want to deal with a number that must be the most requested so far on Numberphile, and that is 301. Now, for those of you who don't pay much attention to the YouTube view counters, you...

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