Demonstrates rapid prime number generation for cryptographic applications, indicating a potential breakthrough in encryption techniques.
We present two complementary algorithms: Code 1 (deterministic) locates prime clusters via spectral levels for reproducible research; Code 2 (randomized) implements Riemann's explicit formula for cryptographic applications. Both achieve 100% accuracy with mean generation times of 16.97 ms (1024-bit) and 284 ms (2048-bit), significantly outperforming conventional methods.
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Stefka Georgieva (2026) studied this question.
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