210 is VERY Goldbachy - Numberphile
Carl Pomerance discusses 210 and its special relationship with Goldbach's Conjecture. More links & stuff in full description below ↓↓↓ Goldbach's Conjecture: https://youtu.be/MxiTG96QOxw...
==========
I have the number 210. Let's try to factor this into prime numbers. So 210 is 2 times 3 times 5 times 7. It's the product of the first four prime numbers. This is its unique prime factorization. And what are these prime numbers? These are numbers that can't be factored into smaller numbers. And we leave 1 out of the game because it's special. And so the prime numbers are 2, 3, 5, 7, 11, 13, 17, 19 and they go on forever, as was proved maybe 2,300 years ago by Euclid. Now one thing that you can obviously see about these primes is that, after 2, they're all odd numbers. That means that, except for 2, if you add two primes together you get an even number. So the two primes could even be the same prime, so for example: I get 3 plus 3 equ...
==========
I have the number 210. Let's try to factor this into prime numbers. So 210 is 2 times 3 times 5 times 7. It's the product of the first four prime numbers. This is its unique prime factorization. And what are these prime numbers? These are numbers that can't be factored into smaller numbers. And we leave 1 out of the game because it's special. And so the prime numbers are 2, 3, 5, 7, 11, 13, 17, 19 and they go on forever, as was proved maybe 2,300 years ago by Euclid. Now one thing that you can obviously see about these primes is that, after 2, they're all odd numbers. That means that, except for 2, if you add two primes together you get an even number. So the two primes could even be the same prime, so for example: I get 3 plus 3 equ...
