Abstract
Let Pi (N) be the number of primes less than or equal to N, for any real number N, the New Prime Number Theorem can be expressed by the formulas as follows: Pi (N) = R (N) + K × ( Li (N) - R (N) ), 1 ≥ K ≥ -1 P (K) = 1.99471140200716338969973029967…×EXP (-12.5×K×K) Where the R (N) is the Riemann Prime Counting Function, the Li (N) is the logarithmic integral function; the P (K) is the Normal Distribution N (μ=0, σ=0.2).
Citation
Sha YY. The Normal Distribution Theorem of Prime Numbers. SM J Biometrics Biostat. 2018; 3(3): 1034.