On the Number of Primes in the Interval (x, 2x) by an Elementary Method  

作　　者：Sudhindra B. Kittur Sudhindra B. Kittur(Independent Researcher, Mumbai, India)

机构地区：[1]Independent Researcher, Mumbai, India

出　　处：《Advances in Pure Mathematics》2024年第1期16-29,共14页理论数学进展（英文）

摘　　要：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.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.

关 键 词：Prime Numbers Composite Numbers EXPRESSION INTEGERS 

分 类 号：O15[理学—数学]