Eight Versions of Euclid’s Proof Written as a Haiku

Theorem: There Are Infinitely Many Primes

No? Then add one to
the product of all the primes.
Prime factor? No way!
Jay Yellen

No? What about one
plus the product of all primes?
Prime factor? No way!
Jay Yellen

No? What about one
plus the product of all primes?
It can’t be factored!
Jay Yellen

No? Then consider
one plus product of all primes.
It can’t be factored!
Jay Yellen

No? Then adding one
to the product of all primes
gets you a new one!
Jay Yellen

No? Consider one
plus the product of all primes.
It can’t be factored!
Jay Yellen

No? But adding one
to the product of all primes
gets you a new one!
Jay Yellen

No? But the number
One plus product of all primes
Is also a prime.
Jay Yellen