Generates prime numbers efficiently while teaching the math behind each method. This Windows desktop application explains deterministic and probabilistic approaches, from trial division and sieve methods to Miller–Rabin and optimized sieves. Interactive demonstrations compare speed and memory use across ranges, making abstract concepts tangible for students and hobbyists. The interface focuses on clarity and reproducibility, with adjustable ranges, verification checks and a benchmarking mode that logs time and memory for each run. Export options include CSV and JSON for further analysis, and a lightweight Android companion lets users review results away from the desktop. Practical notes highlight applications in cryptography, key generation and algorithm design, and offer guidance for handling very large values. Included resources provide annotated examples, suggested exercises and references to primary literature in number theory and computer science. The tool is suitable for coursework, research preparation and independent study, and keeps system requirements modest for Windows while documenting security considerations for cryptographic experiments.

I’m quite happy with this app! It does exactly what it says on the tin. I enjoyed the sleek design and fast responses. Only wish it had a few more features, but overall solid!