...Finally, according to Theorems 2, 3, 4, and 5, it is known that each modal point r_p ∈ M corresponds to a Prime Number p, and the modal path Γ∗ describes the distribution trajectory of Prime Numbers.
The modal distance d_M(r_p, r_q) is the geometrical distance between modal points, and its properties directly reflect the numerical theoretical significance of Prime Number gaps |p−q|...
In summary, d_M(r_p, r_q) ≤ 6 is equivalent to |p−q| ≤ 6, and there are infinitely many Prime Number pairs with a Prime Number gap |p−q| ≤ 6 in the number theory sense. Thus, the proof is complete."
Qiao Yu is very good at time management, using fifty-five minutes of a sixty-minute slot.
In fact, if he slightly increased his speaking speed, he could finish in fifty minutes. This is also a more appropriate amount of time.
Typically, for an invited presentation, about ten minutes are reserved at the end for questions and answers.
