[Verse 1] Imagine you've gathered every prime in sight Two, three, five, seven in your finite collection You think you've captured all the building blocks of light But let me show you mathematical deception Take your list and multiply each number through Add just one to break what you thought you knew [Chorus] Multiply them all and add one more This new giant knocks upon infinity's door Can't divide by any prime you stored Remainder one reveals what you ignored Either it's prime or has factors unexplored The pattern never ends, there's always more [Verse 2] Three hundred years before the common era Euclid crafted this eternal demonstration No fancy tools, no computational chimera Just division's remainder and prime definition Your "complete" collection crumbles into dust When construction breaks assumptions you trust [Chorus] Multiply them all and add one more This new giant knocks upon infinity's door Can't divide by any prime you stored Remainder one reveals what you ignored Either it's prime or has factors unexplored The pattern never ends, there's always more [Bridge] Proof by contradiction through creation Build the weapon that destroys limitation This ancient strategy penetrates Every corner where finite masquerades Largest, smallest, complete collections fall When you construct the exception that breaks them all [Verse 3] The primes stretch beyond imagination's reach No final number, no ultimate boundary This timeless proof continues still to teach How assumption meets its manufactured enemy In number theory's vast exploratory space Construction-contradiction shows its face [Final Chorus] Multiply them all and add one more This new giant knocks upon infinity's door Can't divide by any prime you stored Remainder one reveals what you ignored Either it's prime or has factors unexplored The primes are inexhaustible forevermore [Outro] Euclid's wisdom echoes through the ages Mathematics writes its never-ending pages
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