Algorithm Application ScenariosThe Sieve of Eratosthenes efficiently solves problems related to recording prime numbers, including counting primes within a given range.Core ConceptFundamental Principle: Eliminate composite numbers, leaving only primes.Logical Foundation:If x is a prime number, then all multiples of x must not be prime. Therefore, these numbers can be directly excluded without needing to iterate through them individually in subsequent steps, thereby improving efficiency.Implementation Requirement:Since we need to mark all mul...