use the Well-Ordering principle to prove the given theorem 2. The Sieve of Eratosthanes is an algorithmic

 use the Well-Ordering principle to prove the given theorem

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2. The Sieve of Eratosthanes is an algorithmic method of identifying all prime numbers between 2 and some positive integer n. First circle 2. Then cross off all multiples of 2. Repeat the following: Circle the lowest integer that is not crossed off; and cross off all of its multiples. Question. Use the Well-Ordering Principle to prove that a fixed integer n at least 2, the Sieve of Eratosthanes correctly identifies (circles) the primes and excludes (crosses off) the composites. 2. The Sieve of Eratosthanes is an algorithmic method of identifying all prime numbers between 2 and some positive integer n. First circle 2. Then cross off all multiples of 2. Repeat the following: Circle the lowest integer that is not crossed off; and cross off all of its multiples. Question. Use the Well-Ordering Principle to prove that a fixed integer n at least 2, the Sieve of Eratosthanes correctly identifies (circles) the primes and excludes (crosses off) the composites.