Sieve of Eratosthenes in C: Algorithm Fundamentals and Array Implementation

Finding prime numbers efficiently is a classic challenge in computer science that every programmer should master. This written course guides you through understanding and implementing the Sieve of Eratosthenes, one of the most efficient ancient algorithms for finding all prime numbers up to a given limit. You will start with the core mathematical concepts before writing clean, modern C code to bring the algorithm to life. By the end of this course, you will confidently implement the Sieve of Eratosthenes using C arrays, optimize your code for performance, and understand how to manage memory efficiently. What you'll learn: - Understand the mathematical logic and historical context behind the Sieve of Eratosthenes - Implement array-based data structures in C to track prime and composite numbers - Write clean, modern C code using standard control flow, loops, and nested iterations - Optimize algorithm performance by reducing redundant operations and unnecessary checks - Apply basic debugging and testing techniques in C to verify the accuracy of your prime generator We begin with foundational definitions of prime numbers and algorithm mechanics, move step-by-step through array initialization and nested loops, and finish with a complete, compiled C program. This text-only course is designed for beginners who have a basic grasp of C syntax and want to build practical algorithm design skills. Start reading today to sharpen your programming and mathematical problem-solving skills.