## Theorem: There Are Infinitely Many Primes

No? Then add one to

Jay Yellen

the product of all the primes.

Prime factor? No way!

No? What about one

Jay Yellen

plus the product of all primes?

Prime factor? No way!

No? What about one

Jay Yellen

plus the product of all primes?

It can’t be factored!

No? Then consider

Jay Yellen

one plus product of all primes.

It can’t be factored!

No? Then adding one

Jay Yellen

to the product of all primes

gets you a new one!

No? Consider one

Jay Yellen

plus the product of all primes.

It can’t be factored!

No? But adding one

Jay Yellen

to the product of all primes

gets you a new one!

No? But the number

Jay Yellen

One plus product of all primes

Is also a prime.