# Conjectures

2017-07-27T18:16:09+03:00[Europe/Moscow] en true Riemann hypothesis, Hadwiger conjecture (combinatorial geometry), Amicable numbers, Catalan's conjecture, P versus NP problem, Perfect number, Wormhole, Geometrization conjecture, Self-replicating spacecraft, Hadwiger conjecture (graph theory), Juggler sequence, List of unsolved problems in mathematics, Abhyankar's conjecture, Dixmier conjecture, Norm residue isomorphism theorem flashcards Conjectures
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• Riemann hypothesis
In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and the complex numbers with real part 1/2.
In combinatorial geometry, the Hadwiger conjecture states that any convex body in n-dimensional Euclidean space can be covered by 2n or fewer smaller bodies homothetic with the original body, and that furthermore, the upper bound of 2n is necessary iff the body is a parallelepiped.
• Amicable numbers
Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number.
• Catalan's conjecture
Catalan's conjecture (or Mihăilescu's theorem) is a theorem in number theory that was conjectured by the mathematician Eugène Charles Catalan in 1844 and proven in 2002 by Preda Mihăilescu.
• P versus NP problem
The P versus NP problem is a major unsolved problem in computer science.
• Perfect number
In number theory, a perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself (also known as its aliquot sum).
• Wormhole
A wormhole or "Einstein-Rosen Bridge" is a hypothetical topological feature that would fundamentally be a shortcut connecting two separate points in spacetime.
• Geometrization conjecture
In mathematics, Thurston's geometrization conjecture states that certain three-dimensional topological spaces each have a unique geometric structure that can be associated with them.
• Self-replicating spacecraft
The idea of self-replicating spacecraft has been applied – in theory – to several distinct "tasks".