NumberFields@Home
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NumberFields@Home is a volunteer distributed computing project that needs your help to ...
Why NumberFields@Home?
One way to categorize fields is by the primes that ramify in them. For a given set of primes, the number of fields ramified at those primes is finite. The primary goal of the project is to find this finite set of fields for various sets of primes. Since the number of combinations of primes is unlimited, the project will remain open-ended for the foreseeable future.
Another way to categorize fields is by their discriminant, which is an important invariant for a field. Given a fixed bound , there are only a finite number of fields whose discriminant is less than this bound. A secondary goal of the project is to determine the finite set of "minimum discriminant" imprimitive decic fields for the bound <math>B=1.2 \times 10^{11}</math>. We chose this bound for it's potential to find more fields while keeping the computational load manageable.
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