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 6 Conclusions In this paper, we explored how to better parallelize the execution of the Sieve of Eratosthenes.
Each segment will contain up to 125 million primes to prevent memory overflow and ensure efficient retrieval. Custom Big Integer Library: In order to sieve infinitely, a special library for large numbers needs to be created. While there are default big integer libraries, we can customize our own for further optimization. For example, we only divide by 6, so a special operation can be created. Furthermore, a special operation can be created to efficiently mod 6.
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