Definition:Logarithmic Integral/Eulerian/Historical Note
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Historical Note on Eulerian Logarithmic Integral
The Eulerian logarithmic integral was conjectured by Carl Friedrich Gauss when he was $14$ or $15$ to be a good approximation for the prime-counting function.
Hence the first statement of this particular form of the Prime Number Theorem.
Sources
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {B}.16$: The Sequence of Primes