Prime Finder

Find prime numbers using the Sieve of Eratosthenes with visualization and primality testing

Overview

The Prime Finder helps you discover and analyze prime numbers using the famous Sieve of Eratosthenes algorithm. Visualize how the sieve eliminates composite numbers, test if specific numbers are prime, and explore patterns in the distribution of primes.

Tips

1. Start with small ranges: Begin with ranges up to 100 to see the sieve algorithm in action and understand how it eliminates non-prime numbers step by step.

2. Use the visualization: Step through the algorithm slowly to watch how multiples of each prime are marked as composite, revealing the remaining primes.

3. Test factorization: Enter different numbers to see their prime factorization and verify that every number has a unique prime decomposition.

4. Explore prime patterns: Look for twin primes (primes that differ by 2), examine prime gaps, and observe how primes become less dense in larger ranges.

5. Check large numbers carefully: When testing primality of large numbers, be patient as the algorithm may take time, but it will accurately determine if the number is prime.