Math! Poetry! Nonsense!
You say you think there are but finite primes?
Allow me to retort with structured proof!
And so with a simple verse and pattern’d rhymes,
I’ll show: upon their number there’s no roof.
So take your finite set and multiply
Your primes into a single product, whole.
To this add one, and though you think me sly,
We name this number ‘N’ to meet our goal.
N modulo each prime? Remainder one!
Thus N is prime, or at the very least,
must have prime factors which were not among
the list you had when we began this piece!
Thus, where you say by rights there ought be none,
By rule I shew’d there always will be one.