Hi Gatra and all great contributors,

Major arcs for Goldbach's problem - H. A. Helfgott
https://arxiv.org/abs/1305.2897

Hardy–Littlewood circle method
https://en.wikipedia.org/wiki/Hardy%E2%80%93Littlewood_circle_method

https://www.youtube.com/watch?v=qhS9L-jTVkM
The Ternary Goldbach Problem - Harald Helfgott

It's been awhile since my absent from mining Riecoin with limited resources than before. Found the above and hope them can shed some light to improve the algorithms used in Riecoin's superblock for larger world records, etc. The youtube explain the C algorithm on circle method to find prime, etc.