TY - JOUR
TI - On Prime Counting Functions Using Odd $K$-Almost Primes
PY - 2024/04/30
Y2 - 2024/06/24
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 17
IS - 2
DO - 10.29020/nybg.ejpam.v17i2.4961
UR - https://doi.org/10.29020/nybg.ejpam.v17i2.4961
SP - 1146-1154
AB - 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, π(n). Essentially, it offers a comprehensive exploration of the mathematical fabric, where primes reveal their mysteries in both large and small spaces.
ER -