
06505007
j
2015f.00617
Gaitanas, Konstantinos
An explicit formula for the prime counting function which is valid infinitely often.
Am. Math. Mon. 122, No. 3, 283 (2015).
2015
Mathematical Association of America (MAA), Washington, DC
EN
F65
doi:10.4169/amer.math.monthly.122.03.283
Summary: This paper studies the behaviour of the prime counting function at certain points. We show that there is an exact formula for $\pi(n)$ which is valid for infinitely many naturals numbers $n$.