Name Description Tags Members
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
Collatz Conjecture Does the Collatz sequence eventually reach 1 for all positive integer initial values? Also known as the 3n + 1 problem. Unsolved 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
Hadwiger-Nelson Problem The Chromatic Number of the Plane (CNP) is the chromatic number of the graph whose vertices are elements of the plane, and two points are connected by an edge if they are a unit distance apart. The Hadwiger-Nelson problem asks to compute CNP. Unsolved Polymath Project 4
Kalai's 3^d conjecture Does every d-dimensional centrally symmetric polytope have at least 3^d nonempty faces? Unsolved 2
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. Millennium Problem Unsolved 2
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. Millennium Problem Unsolved 1
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 Polymath Project 0