With the growing computational needs associated with prime enumeration tasks, traditional implementations of the Sieve algorithm remain a bottleneck.
This paper is available on arxiv under CC 4.0 license. Authors: Evan Ning, Milton Academy & evan_ning24@milton.edu; David R. Kaeli, Department of Electrical and Computer Engineering & Northeastern University kaeli@ece.neu.edu. Table of Links Introduction Sieve Optimizations Mathematical Optimization Implementation Results and Discussions Conclusions, Source Code & References 5. Results and Discussions Our Sieve algorithm implementation uses the POSIX threads C++ libraries .
Our experiments ranged from using a tiny scratch memory size of 100k, suitable for environments with stringent memory restrictions, to a spacious 100M, tailored for systems where memory is abundant. The goal was to find a balance - a size that minimizes the iteration count, while also being mindful of memory usage constraints. The results from these experiments have shown some very interesting findings.
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