Author(s)

Maoze Wang¹, Zhenxiang He², Meiyi Wang³

¹Lanzhou Institute of Technology, Lanzhou, China.
²School of Cyberspace Security, Gansu Politics and Law College, Lanzhou, China.
³Beijing Forestry University, Beijing, China.

In this paper, we give out the formula of number of primes no more than any given n (n ∈ Z⁺, n > 2). At the same time, we also show the principle, derivation process of the formula and application examples, it is usually marked with π(n), which is: that is:
where “[ ]” denotes taking integer. r = 1,2,3,4,5,6; s_x = s₁,s₂,...,s_j,s_h; s₁,s₂,...,s_j,,s_{h = 0,1,2,3,....}As i ≥ 2, 2 ≤ s_x ≤ i-1 (x=1,2,...,j,h).

Positive Integer Numbers Spectrum, Row, Column, Composition, Prime

Wang, M. , He, Z. and Wang, M. (2022) The Computing Formula of Number of Primes No More than Any Given Positive Integer. Advances in Pure Mathematics, 12, 229-247. doi: 10.4236/apm.2022.123018.