TITLE:
The Computing Formula of Number of Primes No More than Any Given Positive Integer
AUTHORS:
Maoze Wang, Zhenxiang He, Meiyi Wang
KEYWORDS:
Positive Integer Numbers Spectrum, Row, Column, Composition, Prime
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.12 No.3,
March
31,
2022
ABSTRACT: 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 takinginteger. r = 1,2,3,4,5,6; sx = s1,s2,...,sj,sh; s1,s2,...,sj,,sh = 0,1,2,3,....As i ≥ 2, 2 ≤ sx ≤ i-1 (x=1,2,...,j,h).