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Conjectures

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wormhole
thumb|upright=1.3|A wormhole visualized as a two-dimensional surface. Route (a) is the shortest path through normal space between points 1 and 2; route (b) is a shorter path through a wormhole.
Riemann hypothesis
conjecture in mathematics linked to the repartition of prime numbers
conjecture
thumb|350px|The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.
P versus NP problem
unsolved problem in computer science about time complexity
Collatz conjecture
conjecture in mathematics that concerns sequences
list of unsolved problems in mathematics
Wikimedia list article
abc conjecture
number theory conjecture
Catalan's conjecture
theorem about consecutive powers
Hodge conjecture
conjecture in algebraic geometry that every Hodge class on a nonsingular complex projective manifold is a linear combination with rational coefficients of the cohomology classes of complex subvarieties
Birch and Swinnerton-Dyer conjecture
conjecture
Sierpinski number
number k which k*2^n+1 is composite with all n
Langlands program
web of far-reaching and influential conjectures about connections between number theory and geometry
Novikov self-consistency principle
principle developed to solve the problem of paradoxes in time travel
Erdős–Straus conjecture
unproven statement in number theory
Beal's conjecture
conjecture in number theory
cosmic censorship hypothesis
conjecture that, in general relativity, there is no naked singularity (i.e. one visible from future null infinity) generically
Generalized Riemann hypothesis
Various conjectures about the zeroes of some functions similar to the Riemann zeta function
Fermat–Catalan conjecture
conjecture
chronology protection conjecture
conjecture that the laws of physics prevent closed timelike curves
Weil conjectures
theorem
Erdős conjecture on arithmetic progressions
Characterization of large sets
list of unsolved problems in computer science
Wikimedia list article
de Branges's theorem
theorem
Jacobian conjecture
conjecture asserting that, over a characteristic-zero field K, given a polynomial map f: Kⁿ → Kⁿ, if its Jacobian determinant J: Kⁿ → K is a nonzero constant map, then f admits a polynomial inverse g: Kⁿ → Kⁿ
Ramanujan–Petersson conjecture
conjecture
Hilbert's twelfth problem
mathematical hypothesis
Singmaster's conjecture
conjecture in combinatorial number theory
Lindelöf hypothesis
conjecture
ER=EPR
conjencture unifying entanglement and wormholes
lonely runner conjecture
number-theoretic conjecture that states that 𝑘 people running around a circular track with distinct speeds will each be, at some point, separated by ¹⁄ₖ from every other runner
Goormaghtigh conjecture
conjecture
Feit–Thompson conjecture
conjecture in number theory that there are no primes 𝑝≠𝑞 such that (𝑝^𝑞−1)/(𝑝−1) divides (𝑞^𝑝−1)/(𝑞−1)
homological mirror symmetry
equivalence between the derived Fukaya category of a symplectic manifold and the derived category of coherent sheaves on a complex manifold
Schanuel's conjecture
conjecture concerning the transcendence degree of field extensions of the rational numbers
Hadwiger conjecture
conjecture that all graphs requiring k or more colors contain a k-vertex complete minor
Erdős conjecture
Wikimedia list article
graceful labeling
assignment of integer labels to the vertices of a graph that uniquely identifies edges by the difference of their endpoint labels
Montgomery's pair correlation conjecture
mathematical conjecture stated by Hugh Montgomery
Erdős–Gyárfás conjecture
unproven conjecture that every graph with minimum degree 3 contains a simple cycle whose length is a power of two
Littlewood conjecture
Mathematical problem
Erdős–Faber–Lovász conjecture
conjecture about coloring graphs formed by combining complete graphs
Hoop Conjecture
Black hole conjecture
Erdős distinct distances problem
problem in discrete geometry
Lehmer's totient problem
unsolved problem in mathematics
Duffin–Schaeffer theorem
theorem in metric number theory
Coase conjecture
Economic principle
Carmichael's totient function conjecture
mathematics concept
Hall's conjecture
conjecture
list of conjectures
Wikimedia list article
Szpiro's conjecture
conjecture in number theory
weak gravity conjecture
conjecture that gravity must be the weakest force
Barnette's conjecture
unsolved problem in graph theory
No-three-in-line problem
topic in discrete geometry
reconstruction conjecture
graphs are uniquely determined by their subgraphs
Kalai's 3^d conjecture
maths conjecture
Köthe conjecture
open Problem in Ring Theory (Mathematics)
Birch–Tate conjecture
mathematical conjecture
Dinitz conjecture
theorem in combinatorics on the extension of arrays to partial Latin squares
SYZ conjecture
mathematical conjecture
Hirsch conjecture
on lengths of shortest paths in convex polytopes