Open problems

Category:Open problems - Wikipedia

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Origin of life Scientific problems Millennium Prize Problems Hard problem of consciousness Dark matter Quantum gravity P versus NP problem Collatz conjecture Riemann hypothesis

Hilbert's list set the agenda for a century and some entries are still untouched Papers that close with open questions nobody ever picks up Prize money and whether it changes which problems get attacked Quantum gravity after eighty years with no agreed framework Computer-assisted proofs and when a machine-checked theorem counts as proved Dark matter and dark energy are two names for problems no instrument has settled Problems that stay open only because nobody has built the instrument or the cohort Perelman proved the Poincare conjecture and then declined the prize Consciousness: a hard problem whose definition is itself in dispute Origin of life research cannot agree on what would count as an answer Navier-Stokes and why a million dollars waits on a proof about turbulence P versus NP: cryptography is built on the assumption that it stays open Millennium Prize problems: one solved and six still unclaimed The continuum hypothesis is not false: it is independent of the standard axioms

Scientific method Quantum computing Investigative journalism Data analysis Research methods Unsolved problems in computer science Academic conferences Field research Academic publishing Research and development