Name Description Status Bounty Members Lead Researcher
ABC Conjecture
The abc conjecture is a conjecture in number theory, first proposed by Joseph Oesterlé and David Masser. It is stated in terms of three positive integers, a, b and c that are relatively prime and satisfy a + b = c. Unsolved $0 0
Twin Prime Conjecture
A twin prime is a prime number that is either 2 less or 2 more than another prime number. The Twin Prime Conjecture asks if there are infinitely many twin primes. Unsolved $0 0
Riemann Hypothesis
The Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part 1/2. Many consider it to be the most important unsolved problem in pure mathematics. Unsolved $0 1
Collatz Conjecture
Does the Collatz sequence eventually reach 1 for all positive integer initial values? Also known as the 3n + 1 problem. Unsolved $0 0
P versus NP
The P versus NP problem is a major unsolved problem in computer science. It asks whether every problem whose solution can be quickly verified can also be solved quickly. Unsolved $0 2
Fermat's Last Theorem
In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c satisfy the equation $a^{n} + b^{n} = c^{n}$ for any integer value of n greater than 2. Solved $0 0
Goldbach's Conjecture
Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states: Every even integer greater than 2 is the sum of two primes. The conjecture remains unproven despite considerable effort. Unsolved $0 0
Poincaré Conjecture
The Poincaré conjecture is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space. The conjecture states: Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere. Solved $0 0