Purpose
Why are we here?
What happens when every open and interesting problem can be solved? Who creates the new ones that drive progress forward?
That is why we are here. Epilogue exists to keep people interested, curious, and passionate about the most compelling problems of our time so that the next Euler (possibly you) can create problems for the following centuries.
Problems
Browse by field
Field
Status
- 1859 → today →Mathematics · Open · Clay Millennium Prize The Riemann HypothesisWhy the zeros of one function may control the rhythm of the primes.
- 1849 → today →Mathematics · Open The Twin Prime ConjecturePrimes two steps apart keep appearing. Are there infinitely many of those pairs?
- 1971 → today →Computer science · Open · Clay Millennium Prize P versus NPIf a solution is easy to check, must there be an easy way to find it?
- 1822 → today →Physics · Open · Clay Millennium Prize Navier-Stokes RegularityDo the equations of fluid motion always stay smooth, or can a flow tear itself apart?
- 1637 → 1995 →Mathematics · Solved · 1995 Fermat’s Last TheoremA margin note promised a proof. Three centuries later, someone finally delivered one.
- 1968 → 2002 →Physics · Solved · 2001–2002 The Solar Neutrino ProblemThe Sun seemed to send too few neutrinos. The missing ones had changed identity.