[Verse 1] Let me tell you 'bout a quest that ancient minds would chase To count all prime numbers, find the final place Two, three, five, seven, eleven in a row But does this sequence end? We need to know [Chorus] The primes keep flowing like an endless spring No cap can hold them, they're an infinite thing Multiply them all and add just one A new prime's born, the proof is done Infinite primes, they never cease Euclid's wisdom brings us peace [Verse 2] Suppose you think you've found them all inside a box Two, three, five, seven - that's your finite stock Now multiply these numbers, every single one Then add a one to what you've done [Chorus] The primes keep flowing like an endless spring No cap can hold them, they're an infinite thing Multiply them all and add just one A new prime's born, the proof is done Infinite primes, they never cease Euclid's wisdom brings us peace [Bridge] This new number's strange, it breaks the mold Not divisible by primes of old Either it's prime or has new factors Contradiction shows our logic matters No finite net can catch them all The primes will always break the wall [Verse 3] From contradiction comes the truth we seek The finite assumption makes our logic weak For every list that claims to be complete Euclid's method shows it's incomplete [Chorus] The primes keep flowing like an endless spring No cap can hold them, they're an infinite thing Multiply them all and add just one A new prime's born, the proof is done Infinite primes, they never cease Euclid's wisdom brings us peace [Outro] So when you think of numbers in their endless dance Remember primes will always find a way to advance An inexhaustible supply that flows forever free Mathematical infinity for all to see
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