NumberFields@home - 2017/2018
NumberFields@home is based at the school of mathematics at Arizona State University. It is a science project that uses Internet-connected computers to do research in number theory and searches for fields with special properties. The primary application of this research is in the realm of algebraic number theory. NumberFields@home performs research in 4 key area: Automorphic Forms, Cryptography, Arithmetic Statistics and Theoretical Physics.

Gridcoin is an open source cryptocurrency (Ticker: GRC) which securely rewards volunteer computing performed upon the BOINC platform in a decentralized manner on top of proof of stake. Numberfield@home is one of the twenty-six whitelisted projects and team Gridcoin has 191 active participants on this project. (source: BOINCStats).
BOINC (Berkeley Open Infrastructure for Network Computing) is a distributed Internet platform and was launched beginning of 2002 and it rewards participants with credits for performed work. BOINC is an application available for multiple Operating Systems and uses the unused CPU and GPU cycles on computers to perform scientific work. Currently there are over 170,000+ active members using BOINC and performing scientific work in more than 50 different projects (source: BOINCStats).
At the start of year, the team published an article on their forum with the 2017 achievements and 2018 goals.
Achievements in 2017
Although the list looks fairly limited, 2017 was very productive with the following sub-searches in the area of arithmetic statistics completed:
- The search over Q(sqrt(2)) (subfield 3 of 7) completed several more tiers of the search. There are about 9 tiers left to go.
- The search over Q(sqrt(-2)) (subfield 4 of 7) filled in a bunch more rows. This one has 7 tiers left to go.
2018 Outlook
The following activities are planned for 2018:
- Develop a GPU app, which is fantastic news to speed-up the research. It could take many months before it is ready but it will be critical in completing the search over Q(sqrt(2)).
- Complete the search over Q(sqrt(-2)).
- Start the search over Q(sqrt(-5)) (subfield 5 of 7).
I would like to congratulate NumberFields@home with the achievements so far and would like to thank everybody participating in the project.