Tighter bounds in the prime number theorem

The Endeavour 2026-01-16

Summary:

The most elementary form of the prime number theorem says that π(x), the number of prime numbers less than x, is asymptotically equal to x / log(x). That’s true, but a more accurate result says π(x) is asymptotically equal to li(x) where Five years ago I wrote about a result that was new at the […]

The post Tighter bounds in the prime number theorem first appeared on John D. Cook.

Link:

https://www.johndcook.com/blog/2026/01/16/prime-number-theorem-bounds/

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Statistics and Visualization » The Endeavour

Tags:

math

Authors:

John

Date tagged:

01/16/2026, 12:41

Date published:

01/16/2026, 10:50