TITLE:
On the Number of Primes in the Interval (x, 2x) by an Elementary Method
AUTHORS:
Sudhindra B. Kittur
KEYWORDS:
Prime Numbers, Composite Numbers, Expression, Integers
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.14 No.1,
January
12,
2024
ABSTRACT: An elementary formula to know the number of primes in the interval (x, 2x) close to the exact figure for a fixed x is given here. A new elementary equation is derived (a relation between prime numbers and composite numbers distributed in the interval [1, 2x]). An elementary method to know the number of primes in a given magnitude is suitably placed in the form of a general formula, and we have proved it. The general formula is applied to the terms of the equation, and a tactical simplification of the terms gives rise to an expression whose verification envisages scope for its further studies.