TITLE:
Detecting a Regularity in the Generation and Utilization of Primes in the Multiplicative Number Theory
AUTHORS:
Silviu Guiasu
KEYWORDS:
Goldbach’s Conjecture, Symmetric Prime Cousins, Systemic Approach in Number Theory, Parallel System Covering Integers with Primes, Euler’s Formula for the Product of Reciprocals of Primes, Formula for the Exact Number of Primes Less than or Equal to an Arbitrary Bound
JOURNAL NAME:
Natural Science,
Vol.11 No.6,
June
25,
2019
ABSTRACT: If Goldbach’s
conjecture is true, then for each prime number p there is at least one pair of primes symmetric with respect to p and whose sum is 2p. In the multiplicative number theory, covering the positive
integers with primes, during the prime factorization, may be viewed as being
the outcome of a parallel system which functions properly if and only if
Euler’s formula of the product of the reciprocals of the primes is true. An
exact formula for the number of primes less than or equal to an arbitrary bound
is given. This formula may be implemented using Wolfram’s computer package
Mathematica.