4.9 • 619 Ratings
🗓️ 24 October 2024
⏱️ 40 minutes
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0:00.0 | If you're not keeping nerds entertained and having fun, it's going to slow down the entire nerd industry. |
0:14.0 | There's a new title holder for the largest known prime number. |
0:23.5 | Now, of course, there are an infinite number of primes. That's a proven thing. So this one, no matter how big, well, it's just a drop in the ocean. |
0:29.8 | This particular drop? Well, it has over 41 million digits. That's a pretty big drop. Can you |
0:36.9 | imagine that, a number so long that if I set at |
0:39.3 | one digit per second, 8, 8, 1, 6, 9, 4, etc, we'd be here for nearly a year and a half, and that's |
0:50.5 | without toilet breaks. Now, this particular number is in a very special category of primes called Mersenne Primes. |
0:58.6 | For over 30 years, the title holder for world's biggest prime has always been of this flavour. |
1:05.4 | To start things off, here's numberphiles' very own James Grime. |
1:13.3 | So Mersenne Prime is a prime number, of course, you know, famous prime numbers, building blocks of all of the numbers. |
1:22.0 | But the Mersen Primes is one of those special categories of primes. |
1:26.2 | In this case, a Mersenne Prime is one less than a power of two. |
1:30.9 | Here's another number file regular and prime enthusiast Matt Parker. I asked him where Mersen |
1:37.9 | Primes rank in the pantheon of primes. I would rank Mersenne primes very highly. Partly because they have such a long history. |
1:47.3 | The ancient Greeks cared about Mersen Primes. We care about Mersen Primes to have two millennia |
1:53.2 | of human effort trying to find these things. You kind of ignore that kind of historical |
1:58.1 | pedigree. Like that's, that's a, you know, a famous type of prime. |
2:03.6 | On top of that, they're just really nice. Like, being near a power to is just so pleasing. |
2:09.6 | And you're absolutely right. There's, you know, your Jermaine primes, your twin primes, all these |
2:14.6 | fun types of primes, sexy primes. But there's just something so pure |
2:21.1 | about Mersin primes. And that's only been aided by the fact that they are the easiest to find. |
2:29.4 | And so that has kept them so prominent for so long. |
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