On Prime Counting Functions Using Odd K-Almost Primes
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Dosyalar
Tarih
2024
Yazarlar
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Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This work takes an interesting diversion, revealing the extraordinary capacity to determine the precise number of primes in a space tripled over another. Exploring the domain of K-almost prime numbers, this paper provides a clear explanation of the complex idea. In addition to outlining the conditions under which odd K-almost prime numbers must exist, it presents a novel method for figuring out how often odd numbers are as 2-almost prime, 3-almost prime, 4-almost prime, and so on, up to a specified limit n. The work goes one step further and offers useful advice on how to use these approaches to precisely calculate the prime counting function, ?(n). Essentially, it offers a comprehensive exploration of the mathematical fabric, where primes reveal their mysteries in both large and small spaces.
Açıklama
Anahtar Kelimeler
Prime counting function, odd K-almost primes
Kaynak
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
WoS Q Değeri
Scopus Q Değeri
Cilt
17
Sayı
2
Künye
T. Rashid, M. M. M. Jaradat, E. Yolacan, H. Ahmad. On Prime Counting Functions Using Odd $K$-Almost Primes. (2024). European Journal of Pure and Applied Mathematics, 17(2), 1146-1154.
