Is there an intuitive reason why the natural logarithm shows up in the Prime Number Theorem?
6702
Intuition for the prime number theorem
22687
Proof of the power rule for logarithms
53967
distribution of prime numbers
15110
About irrational logarithms
45127
Why is Euler's totient function equal to $(p-1)(q-1)$ when $N=pq$ and $p$ and $q$ are prime in a clean intuitive way?
42306
Motivation for Napier's Logarithms
83146
Is there an approximation to the natural log function at large values?
124209
How is $\ln(-1) = i\pi$?
158257
Is aleph-$0$ a natural number?
68376
How, if at all, does pure mathematics benefit from $2^{74207281}-1$ being prime?
95937
Why aren't all prime subfields equal to {0,1}?
3098
How are first digits of $\pi$ found?
23128
Why aren't logarithms defined for negative $x$?
25232
Is this formula for the $n^{th}$ prime number useful?
61503
Are primes randomly distributed?
11440
When is the number $11111\cdots1$ a prime number?
139638
Does the string of prime numbers contain all natural numbers?