If you want to show the primes go on for ever,
There's a trick that Euclid taught us long ago.
Suppose not: then multiply these primes together,
And add one to get a number, call it rho.
Just take a careful look at this big number,
Rho has to have a factor which is prime,
And it can't be one of those you've got already,
So there's your contradiction shown in rhyme.
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