OAI/NumberTheory/TwoPointCorrelations/PrimeReciprocalTheorem.lean

GitHub source file

2 declarations, 0 contain sorry, 0 declared as axioms

The reciprocal-prime estimate follows from the bounded-error form of Mertens' second theorem. The finite prime sets in the two formulations agree; zero contributes no prime to either convention.

  1. lemma OAI.TwoPointCorrelations.sievePrimesUpTo_eq_Ioc line 15

    Also declared: OAI/NumberTheory/TwoPoint/Bounds/PrimeReciprocalTheorem.lean:17 (same declaration text).

  2. theorem OAI.TwoPointCorrelations.primeReciprocalInput line 26

    Source documentation

    The reciprocal-prime hypothesis is a theorem, not an additional input.

    Also declared: OAI/NumberTheory/TwoPoint/Bounds/PrimeReciprocalTheorem.lean:28 (same declaration text).

    theorem primeReciprocalInput : PrimeReciprocalInput := by
…

    Mentions: OAI.TwoPointCorrelations.PrimeReciprocalInput