@article{On Prime Counting Functions Using Odd $K$-Almost Primes_2024, place={Maryland, USA}, volume={17}, url={https://www.ejpam.com/index.php/ejpam/article/view/4961}, DOI={10.29020/nybg.ejpam.v17i2.4961}, abstractNote={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.}, number={2}, journal={European Journal of Pure and Applied Mathematics}, year={2024}, month={Apr.}, pages={1146–1154} }