theorem
MathlibNt.SieveTheory.LiLiuOnePlusOneNine.GoldbachBig.goldbachB10SiftedCount_540996_upper
(δ : ℝ)
(hδ : 0 < δ)
:
∃ (B : ℝ),
0 ≤ B ∧ ∀ (ε : ℝ),
0 < ε →
ε < 1 →
∃ (N₀ : ℕ),
4 ≤ N₀ ∧ ∀ (N : ℕ),
N₀ ≤ N →
Even N →
have Δ := ↑N ^ (1 / 2) / Real.log ↑N ^ (B + 1);
have Z := Δ ^ (1 / 2);
↑(goldbachB10SiftedCount N ε (↑N ^ goldbachB10Beta) (↑N ^ goldbachB10Gamma) Z) ≤ (540996 / 100000 * (1 - ε) + δ) * (SingularSeries.liuSingularSeries N * ↑N / Real.log ↑N ^ 2)
Actual B10SiftedCount at the unchanged legal cutoff, retaining (1-ε). This statement concerns neither an original G10 count nor a corrected G10 count.
Inspect dependencies
MathlibNt.SieveTheory.LiLiuOnePlusOneNine.GoldbachBig.goldbachB10SiftedCount_540996_upper · compiled type and proof/definition references.