Search
3 articles for “prime gaps”
-
Dynamics of Prime Gap Sets: An Algorithmic and Set-Theoretic Approach
Abstract: In this paper, we present a theorem and an efficient algorithm for computing all prime numbers up to a given integer X. Our theorem establishes a relationship between the primes up to X and those up to (X+1)2, providing a theoretical foundation for the algorithm. The proposed method improves upon the traditional Sieve of Eratosthenes by dynamically eliminating multiples of primes using only the remaining numbers in the set, thereby …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 20–25 Read article
-
A Decade of Viral Evolution (2015–2025): Emergence, Mutations, and Implications for Global Health
Abstract: Over the past decade (2015-2025), viral evolution has profoundly reshaped the global health landscape, challenging healthcare systems, diagnostic tools, therapeutic strategies, and vaccine efficacy. This review comprehensively analyzes the evolutionary trajectories of major human and zoonotic viruses, with a focus on pandemic-prone, drug-resistant, and emerging pathogens. Viral evolution is driven by diverse molecular mechanisms including high mutation rates, recombination, reassortment, host immune pressure, and antiviral interventions, leading to genetic diversification, …
Published in International Journal of Vaccines · Vol. 2, Issue 2, 2025 · pp. 31–40 Read article
-
A Review of Blocking Side-Channel Threats in Parallel Cloud Systems
Abstract: Side-channel attacks (SCAs) pose a critical security threat to parallel computing systems, particularly in shared cloud environments where multi-tenancy and resource contention create exploitable vulnerabilities. This study presents a comprehensive review of SCAs in parallel architectures, analyzing attack vectors such as cache-based exploits (e.g., Prime + Probe, Flush + Reload), timing attacks, power analysis, and network-based covert channels. We examine real-world cases including Spectre and Meltdown vulnerabilities that exposed fundamental …
Published in Recent Trends in Parallel Computing · Vol. 12, Issue 2, 2025 · pp. 15–25 Read article