The systematic generation of prime numbers has been almost ignored since the 1990s, when most IT research resources related to migrated studies on use very large primes for cryptography, and little effort was made further knowledge regarding techniques like sieving. At present, sieving are mostly used didactic purposes, no real advances seem be in this domain. This review analyzes theoretical that have occurred up present. followed PRISMA 2020 guidelines conducted using three established...

Prime numbers sieving is not anymore a topic of interest for the IT specialists and,besides some commendable open source efforts, practically nobody tries to advance domain(Ghidarcea and Popescu, 2023) - despite all hardware progress, even today we are capableto generate primes up 264 in practical time .This article deals with fast sieves based on classic Sieve Eratosthenes, introducing aninnovative approach using static wheels that has potential surpass fastestalgorithms known so far. It...

In a landscape where interest in prime sieving has waned and practitioners are few, we still hoping for domain renaissance, fueled by resurgence of fresh wave innovation. Building upon years extensive research experimentation, this article aims to contribute presenting heterogeneous compilation generic tweaks boosters aimed at revitalizing methodologies. Drawing from wealth resurfaced knowledge refined algorithms, techniques, optimizations, unveil diverse array strategies designed elevate...

Recent IT research on prime numbers has focused generating large primes forcryptography, neglecting the advancement of systematic generation insequence using techniques like sieving. Despite being relegated to educational contexts, sieving hold untapped potential. Much existing work remains obscure contemporaryresearchers, leaving numerous opportunities enhance field. This article aims highlight relevance old algorithms, demonstrating that modern approaches and creativity can yield...