The Reciprocals of Primes - Numberphile
Apr 16, 2024It involves making powers of things and remains. And in the cousins that have 10 as a primitive root, each and every one of these will appear; Since 10 is their primitive root, they go through each and every one of them before returning to the first. That's why 60,013 doesn't have 10 as a primitive root, so it only used 5,001 and then 60,017 does have 10 as a primitive root and that's why it took so long, it used each one before coming back to square one. . And there's a thing called the Reptend prime number that also tells you which ones have this amazing property.
So if people want to look into it, it will be a lot more fun. For me, though, it's all about long division. (Just to be clear, are 60,017 Reptend cousins?) - Yes. (Because they go all out). - Yes, yes, yes, I will allow it as a definition. If you like this video, you'll really like Matt Parker's new video for Pi Day 2022, it's on his standupmaths channel. And also Matt, Keith Moore and I from the Royal Society talk more about Shanks on the Objectivity channel. There are links here on the screen and below in the video description. - Hero.
Yes, hero. Hero of Northumbria. And he still holds the world record for most digits of pi calculated by hand.
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