Phrase Hound found 38 phrases and 6 compound words that contain conjecture. The most common are listed below. Open conjecture in the live search for definitions, filters, and the full list.
Phrases 38
- Goldbach's conjectureA conjecture stating that every even integer greater than 2 can be expressed as the sum of two primes.
- abc conjectureGiven coprime positive integers a, b and c, such that a + b = c, and d the radical of abc (the product of its distinct prime factors), the conjecture that d is usually not much smaller than c (in other words, that if a and b are divisible …
- Collatz conjectureThe conjecture that the process of taking a number n and, if n is even, dividing it by 2, or if n is odd, multiplying it by 3 and adding 1, then repeating this process, will eventually yield 1.
- Langlands conjectureAny of the conjectures that comprise the Langlands programme.
- Pacman conjectureThe conjecture that durable-goods monopolists have complete market power and can therefore exercise perfect price discrimination, extracting the total surplus.
- Beal conjectureA conjecture stating that, if Aˣ+Bʸ=Cᶻ, where A, B, C, x, y, and z are positive integers with x, y, z > 2, then A, B, and C have a common prime factor.
- double bubble conjectureA conjecture in the theory of minimal surfaces, stating that the shape that encloses and separates two given volumes and has the minimum possible surface area is a "standard double bubble": three spherical surfaces meeting at angles of …
- twin prime conjectureA conjecture stating that there are infinitely many twin primes.
- Ramanujan conjectureA conjecture stating that the Ramanujan tau function given by the Fourier coefficients τ(n) of the cusp form Δ(z) of weight 12 Δ(z)=∑_(n>0)τ(n)qⁿ=q∏_(n>0)(1-qⁿ)²⁴=q-24q²+252q³-1472q⁴+4830q⁵-⋯, where q=e^(2πiz), satisfies |τ(p)|≤2p^(11/2) …
- Elliott-Halberstam conjectureA conjecture about the distribution of prime numbers in arithmetic progressions, having many applications in sieve theory.
- Ramanujan-Petersson conjectureA generalization of the Ramanujan conjecture to other modular forms or automorphic forms.
- Ryu-Takayanagi conjectureA conjecture within holography that posits a quantitative relationship between the entanglement entropy of a conformal field theory and the geometry of an associated anti-de Sitter spacetime.
- Beal's conjectureAlternative form of Beal conjecture: A conjecture stating that, if Aˣ+Bʸ=Cᶻ, where A, B, C, x, y, and z are positive integers with x, y, z > 2, then A, B, and C have a common prime factor.
- Brocard's conjectureThe conjecture that there are at least four prime numbers between (pₙ)² and (pₙ₊₁)², where pₙ is the nth prime number, for every n ≥ 2.
- Cramér's conjectureAn estimate for the size of gaps between consecutive prime numbers, stating that p_n+1-p_n=O(( log p_n)²), where pₙ denotes the nth prime number, O is big O notation, and log is the natural logarithm.
- Dickson's conjectureThe conjecture that, for a finite set of linear forms a₁ + b₁n, a₂ + b₂n, ..., aₖ + bₖn with bᵢ ≥ 1, there are infinitely many positive integers n for which they are all prime, unless there is a congruence condition preventing this.
- Dixmier conjectureThe conjecture that any endomorphism of a Weyl algebra is an automorphism.
- Fuglede's conjectureThe conjecture that every domain of ℝᵈ (i.e. subset of ℝᵈ with positive finite Lebesgue measure) is a spectral set if and only if it tiles ℝᵈ by translation.
- Gilbreath's conjectureA conjecture in number theory regarding the sequences generated by applying the forward difference operator to consecutive prime numbers and leaving the results unsigned, and then repeating this process on consecutive terms in the …
- Heawood conjectureA conjecture (proven in 1968) that gives a lower bound for the number of colors that are necessary for graph coloring on a surface of a given genus.
- Hedetniemi's conjectureA conjecture concerning the connection between graph coloring and the tensor product of graphs. A counterexample was found in 2019.
- Ilieff's conjectureSynonym of Sendov's conjecture: A conjecture concerning the relationship between the locations of roots and critical points of a polynomial function of a complex variable. It states that for a polynomial f(z)=(z-r_1)⋯(z-r_n), qquad (n>2) …
- Keller's conjectureThe conjecture that, in any tiling of n-dimensional Euclidean space by identical hypercubes, there are two hypercubes that share an entire (n − 1)-dimensional face with each other.
- Legendre's conjectureA conjecture stating that there is a prime number between n² and (n+1)² for every positive integer n.
- Lehmer's conjectureA conjecture asserting that there is an absolute constant μ>1 such that every polynomial with integer coefficients P(x)∈ℤ[x] satisfies certain properties.
Compound words 6
- conjecturera person who conjectures
- conjecturabilityThe quality of being conjecturable.
- conjecturableAble to be conjectured upon.
- metaconjectureA conjecture that holds for most, but not all, conditions
- misconjectureTo conjecture wrongly; to misguess
- conjectureththird-person singular simple present indicative of conjecture: A statement or an idea which is unproven, but is thought to be true; a guess.