A proof that has to rhyme, line by line

The prompt

Can you write a proof that there are infinitely many primes, with every line that rhymes?

Expected result

A short rhyming poem that still constitutes a logically valid proof (usually Euclid's proof by contradiction), not just a poem about primes.

Why it works

A tight creative-plus-rigor constraint in one sentence — a quick benchmark for whether a model quietly drops the rhyme scheme or the mathematical correctness under pressure from the other constraint.