OAI/NumberTheory/EgyptianFractions/ThreePrimeWeighted.lean
3 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.Problem337.weightedSupplyPrimeTriplesline 12Source documentation
The logarithmically weighted ordered prime triple count, with exactly the same triples as the rational-divisor supply reduction.
def weightedSupplyPrimeTriples (u : ℕ) : ℝ := …
- lemma
OAI.Problem337.weightedSupplyPrimeTriples_leline 16 - theorem
OAI.Problem337.quantitativeThreePrimeLowerBound_of_weightedline 44Source documentation
Positive quadratic logarithmically weighted count is enough for the precise unweighted lower-bound interface already used by the solution.
theorem quantitativeThreePrimeLowerBound_of_weighted (hweighted : ∃ c : ℝ, 0 < c ∧ ∀ᶠ u : ℕ in atTop, Odd u → c * (u : ℝ) ^ 2 ≤ weightedSupplyPrimeTriples u) : QuantitativeThreePrimeLowerBound := by …Mentions: OAI.Problem337.weightedSupplyPrimeTriples, OAI.Problem337.QuantitativeThreePrimeLowerBound