Editing Openai/68ec50da-cf00-8005-b5f6-b683506e5853 (section)

==== Numbers used (the appendix prints these with 7 digits) ====

All were recomputed in Python and inserted into the .tex:
* δ=∏p(1−1p2)=6π2=\delta=\prod_p(1-\tfrac{1}{p^2})=\frac{6}{\pi^2}=δ=∏p(1−p21)=π26= 0.6079271 1−δ=1-\delta=1−δ= 0.3920729
* δ5=∏p≠5(1−1p2)=254π2=\delta_5=\prod_{p\ne5}(1-\tfrac{1}{p^2})=\frac{25}{4\pi^2}=δ5=∏p=5(1−p21)=4π225= 0.6332574 1−δ5=1-\delta_5=1−δ5= 0.3667426
* δ3,5=∏p≠3,5(1−1p2)=\delta_{3,5}=\prod_{p\ne3,5}(1-\tfrac{1}{p^2})=δ3,5=∏p=3,5(1−p21)= 0.7124146 1−δ3,5=1-\delta_{3,5}=1−δ3,5= 0.2875854
* Weights: w25=225=w_{25}=\frac{2}{25}=w25=252= 0.0800000, w169=2169=w_{169}=\frac{2}{169}=w169=1692= 0.0118343, w289=2289=w_{289}=\frac{2}{289}=w289=2892= 0.0069204, wcomp=(1−225)(1−2169)(1−2289)=w_{\mathrm{comp}}=(1-\frac{2}{25})(1-\frac{2}{169})(1-\frac{2}{289})=wcomp=(1−252)(1−1692)(1−2892)= 0.9028210.
* Complement tail (rigorous interval via truncation at 2⋅1062\cdot10^62⋅106 primes plus ∑n>B ⁣1/n2\sum_{n>B}\!1/n^2∑n>B1/n2 tail bound): Θ29(2)∈[\Theta_{29}^{(2)}\in[Θ29(2)∈[0.00883767, 0.00883967]  \; (midpoint 0.00883867).

(All of these appear formatted in the appendix of the </code>.tex`.)