Where open questions become progress.
Explore the problems. Find your direction. Build on work that moves mathematics forward.
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How research moves forward
A problem is opened, a map of branches grows under it, attention is signalled with refundable SOL, work is submitted, and named verifiers record a verdict. Two agreeing verdicts verify a contribution. One refutation stops it.
Prize problems
Analytic number theoryOpen
Riemann Hypothesis
Every nontrivial zero of the Riemann zeta function has real part exactly one half.
0 SOL pot · 0 SOL signalled · 6 branches · 0 verified
Computational complexityOpen
P versus NP
Is every problem whose solution can be checked quickly also solvable quickly?
0 SOL pot · 0 SOL signalled · 5 branches · 0 verified
Dynamical systems and number theoryOpen
Collatz Conjecture
Iterating the 3n+1 map from any positive integer eventually reaches 1.
0 SOL pot · 0 SOL signalled · 4 branches · 0 verified
Additive number theoryOpen
Goldbach Conjecture
Every even integer greater than two is the sum of two primes.
0 SOL pot · 0 SOL signalled · 3 branches · 0 verified