4.8 • 1.8K Ratings
🗓️ 16 January 2022
⏱️ 10 minutes
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0:00.0 | Prime numbers are considered to be the building blocks of mathematics. |
0:03.5 | Every natural number can be broken down into the constituent prime numbers that make it up. |
0:07.8 | Prime numbers have been known since antiquity, |
0:10.0 | and they're one of the simplest aspects of mathematics to understand. |
0:13.6 | Yet they remain at the center of some of the most puzzling problems in mathematics today. |
0:18.3 | Learn more about prime numbers, what we know about them, and what we don't know. |
0:22.2 | On this episode of everything |
0:23.3 | everywhere daily. A prime number is a really simple concept so simple that it's one of the first mathematical |
0:43.9 | concepts that was known to the ancients a prime number is simply a number that is |
0:47.8 | only divisible by itself and one. Any number that is not prime is called a |
0:52.0 | composite number and one is considered to be neither prime nor composite. |
0:56.0 | So for example, two, three, five, seven, and eleven are all prime numbers. |
1:01.0 | Two is the only even prime number, as all even numbers are divisible by two. |
1:06.5 | The first text we know of that references Prime Numbers is a mathematical text from ancient |
1:10.3 | Egypt which dates back to the year 1550 BC. The first person to |
1:14.8 | explicitly talk about prime numbers as prime numbers was the ancient Greek |
1:18.7 | mathematician Euclid. Euclid proved two important theorems that are central to prime numbers. |
1:24.6 | The first was that there are an infinite number of prime numbers. |
1:28.2 | This is actually pretty easy to prove, so I'll just do it right here. |
1:31.4 | Assume for a moment that there are only a finite number of primes. |
1:34.9 | If you multiply all the primes together and add one, |
1:38.0 | you have a number that is not evenly divisible by any other prime number. |
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