Number Theory

    

A New Identity For Prime Counting Function

Authors: Amisha Oufaska

In this article, the author proves on a new identity (or equation) which asserts that for every natural number n the sum of the prime-counting function π(2n) and the con-counting function π ̅(2n) equals n , explicitly and simply ∀ n∈N^* we have π(2n)+ π ̅(2n) = n . The new identity (or equation) may have many applications in Number Theory and its related to one of the famous problems in Mathematics .

Comments: 4 Pages.

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Submission history

[v1] 2023-08-31 23:57:53 (removed)
[v2] 2023-09-22 00:52:50 (removed)
[v3] 2023-09-26 02:08:24 (removed)
[v4] 2023-10-23 22:01:44 (removed)
[v5] 2023-11-07 16:00:54

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