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Sage Days 15 Project Ideas
These are project ideas for Sage Days 15.
Prime Pi
PEOPLE: Fredrik Johansson, William Stein
- Investigate implementing the Meissel, Lehmer, Lagarias, Miller, Odlyzko for computing the number of primes up to x.
Steenrod Algebra cohomology (Yacop integration)
A first version is already available. Here's a page with installation instructions: Yacop
Sage/Magma Comparison Audit
PEOPLE: William Stein
See sagebeatsmagma and magma
Generalized Bernoulli Numbers
PEOPLE: William Stein
- There is a simple 2 or 3 line formula for generalized Bernoulli numbers in terms of non-generalized ones, which could be used to speed up the chi.bernoulli_number(k) command (for a Dirichlet character chi) by a factor of thousands.