Large Prime number generation
I am a hobbyist in prime numbers. I would love to hear from people with expertise in this field if below will hold value for the businesses? I can share more details if anyone has any questions.
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As cryptographic standards demand increasingly large key sizes (e.g., RSA-4096), traditional prime generation architectures have become heavily bottlenecked by main-system memory constraints. Standard libraries dynamically allocate massive heap-memory blocks to perform brute-force modular division, resulting in high latency and power consumption in that makes them unsuitable for constrained IoT devices or high-frequency edge servers.
This paper outlines a novel prime-generation engine—the **Helix Architecture**—that completely bypasses traditional heap-memory division. By utilizing a proprietary Modulo-30 pointer-addition algorithm strictly bounded to a 64KB data track, the engine executes prime sieving entirely within the CPU's ultra-fast Level 1 (L1) Cache.
The result is FIPS 186-4 compliant RSA-4096 key generation in approximately **66 milliseconds** with a **0.0% main-memory cache miss rate**.
A live, interactive demonstration of this engine generating RSA-4096 keys can be tested via our API dashboard at: [https://api.helixapi.io/docs\](https://api.helixapi.io/docs)