Most of the content on PPCG involves clever applications of existing algorithms, or just-fast-enough-to-pass solutions to problems that supercomputers have found millions of answers/digits/etc to already. However, somewhere among all of the brainpower we spend on these challenges, surely someone has come up with something truly original.
Possible examples:
- a new good algorithm for a known problem
- establishing a new lower or upper bound for some value or some algorithm's runtime
- extending an existing OEIS sequence beyond previous computation
Where are those things?