May 8, 2012
Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMA, IAS, THES, MPIM, MSRI. Recently<Annals of Mathematics> publishes the many false papers of the prime numbers to see P52-53. In this paper using Jiang function J2(ω) we prove that the new prime theorems (1541)-(1590) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution PIk(N0,2)≥ 1. This is the Book theorem. Institute for advanced study was the undisputed Mecca of the Riemann hypothesis, now no existence.