OAI/NumberTheory/TwoPoint/Bounds/PrimeReciprocalTheorem.lean
2 declarations, 0 contain sorry, 0 declared as axioms
Mertens' second theorem in bounded-error form.
The formal proof uses Erdos970.Mertens.sum_prime_div_eq_log_log.
Only the convention for the finite prime set differs from
PrimeReciprocalInput; zero contributes no prime to either convention.
- lemma
OAI.TwoPointCorrelations.sievePrimesUpTo_eq_Iocline 17Also declared: OAI/NumberTheory/TwoPointCorrelations/PrimeReciprocalTheorem.lean:15 (same declaration text).
- theorem
OAI.TwoPointCorrelations.primeReciprocalInputline 28Source documentation
Mertens' second theorem implies the reciprocal-prime estimate.
Also declared: OAI/NumberTheory/TwoPointCorrelations/PrimeReciprocalTheorem.lean:26 (same declaration text).
theorem primeReciprocalInput : PrimeReciprocalInput := by …