**Authors:** Chun-Xuan Jiang

Using Jiang function we are able to prove almost all prime problems in prime distribution. This
is the Book proof. In this paper using Jiang function J_{2}(ω) we prove that the new prime
theorems (491)-(540) contain infinitely many prime solutions and no prime solutions.From (6)
we are able to find the smallest solution. π_{k}(N_{0},2) ≥ 1. This is the Book theorem.

**Comments:** 69 pages

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[v1] 30 Aug 2010

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