OAI/NumberTheory/CubicMoment/Estimates/PrimaryPrimePNTProofAP.lean
1 declarations, 0 contain sorry, 0 declared as axioms
The natural prime density of the split rational residue class.
The von Mangoldt input is derived from the Wiener--Ikehara theorem and Mathlib's residue-class continuation.
- theorem
OAI.CubicFirstMoment.rationalProgressionCount_one_limitline 14Source documentation
The class
1 mod 3has natural prime density one half.theorem rationalProgressionCount_one_limit : Tendsto (fun X => rationalProgressionCount 1 X * Real.log X / X) atTop (𝓝 (1/2)) := by …