Introduction

If Mersenne Conjecture were beyond reach by most mathematicians , if Goldbach‘s Conjecture is a summit of the theoretical mathematics, Chinese Professor Da Situ spent 13 years at his Australian home after retirement had paid his efforts in solving these Conjectures. Professor Da Situ had overcome many difficulties and made a significant contribution to some aspects of Goldbach conjecture and Mersenne Conjecture.

Professor Situ was a physics professor at South China Normal University. He came to Australia in 1998 after his retirement. He was 68 years old. He had near zero research resources, no dedicated office for his research. However, in the following 13 years, the only activity he endured was his “prime theories” research. In the later years, he suffered cancer. Cancer gradually took his eyes, his teeth and gums, he still determined in his quest of these “prime theories”.

Here were his achievement:

1. Verifying with conclusion Goldbach's conjecture, in which an infinite even number can be expressed as the sum of two prime numbers (simplified as 1+1), and the lowest number of (1+1). (Please view P2N, P3N)
2. Verifying with conclusion Dickson's Mersenne prime conjecture (in which it was concluded that 2∧n-1 can express an infinite prime number). (Please view NN6, NN7, NN8)
3. Verifying with conclusion the PNT - the Prime Number Theorem is a prime number theory that can be reduced to be a form of addition. (Please view NN11)