[Verse 1] Counting up from two, to the sky Numbers dancing, primes will comply [Verse 2] Pointer set, on the first to rove Prime contender, in this numerical grove [Verse 3] Mark the multiples, a non-prime fate From the square of the number, initiate [Verse 4] Forward steps, to the next in line Unmarked still, a prime to define [Verse 5] Again we mark, with methodical zest The multiples of this number’s quest [Verse 6] On we go, until the square root’s end Primes emerging, as the process transcends [Verse 7] Left unmarked, the primes stand tall In the sieve, they rise above all [Verse 8] Output the list, of numbers so rare The Sieve of Eratosthenes, we declare