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Everything Everywhere Daily

Prime Numbers

Everything Everywhere Daily

Gary Arndt | Glassbox Media

History, Education

4.81.8K Ratings

🗓️ 16 January 2022

⏱️ 10 minutes

🧾️ Download transcript

Summary

Subscribe to the podcast! https://podfollow.com/everythingeverywhere/ Prime numbers are considered to be the building blocks of mathematics. Every natural number can be broken down into the constituent prime numbers that make it up. Prime numbers have been known since antiquity and they are one of the most simple aspects of mathematics to understand, yet they remain at the center of some of the most puzzling problems in mathematics. Learn more about prime numbers, what we know about them, and what we don’t know, on this episode of Everything Everywhere Daily. -------------------------------- Associate Producers: Peter Bennett & Thor Thomsen Become a supporter on Patreon: https://www.patreon.com/everythingeverywhere Discord Server: https://discord.gg/UkRUJFh Instagram: https://www.instagram.com/everythingeverywhere/ Twitter: https://twitter.com/everywheretrip Reddit: https://www.reddit.com/r/EEDailyPodcast/ Website: https://everything-everywhere.com/everything-everywhere-daily-podcast/ Learn more about your ad choices. Visit megaphone.fm/adchoices

Transcript

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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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