%0 Journal Article %T Improved Estimate for the Prime Counting Function %A Theophilus Agama %J Turkish Journal of Analysis and Number Theory %D 2019 %R 10.12691/tjant-7-1-1 %X Using some simple combinatorial arguments, we establish some new estimates for the prime counting function and its allied functions. In particular we show that where This is an improvement to the estimate found in the literature %U http://www.sciepub.com/TJANT/abstract/10239