OAI/NumberTheory/EgyptianFractions/ThreePrimeWeighted.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.Problem337.weightedSupplyPrimeTriples line 12

    Source documentation

    The logarithmically weighted ordered prime triple count, with exactly the same triples as the rational-divisor supply reduction.

    def weightedSupplyPrimeTriples (u : ℕ) : ℝ :=
    …
  2. lemma OAI.Problem337.weightedSupplyPrimeTriples_le line 16
  3. theorem OAI.Problem337.quantitativeThreePrimeLowerBound_of_weighted line 44

    Source 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