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  2. Conjecture - Wikipedia

    en.wikipedia.org/wiki/Conjecture

    Sometimes, a conjecture is called a hypothesis when it is used frequently and repeatedly as an assumption in proofs of other results. For example, the Riemann hypothesis is a conjecture from number theory that — amongst other things — makes predictions about the distribution of prime numbers. Few number theorists doubt that the Riemann ...

  3. List of conjectures - Wikipedia

    en.wikipedia.org/wiki/List_of_conjectures

    Conjecture Field Comments Eponym(s) Cites 1/3–2/3 conjecture: order theory: n/a: 70 abc conjecture: number theory: ⇔Granville–Langevin conjecture, Vojta's conjecture in dimension 1 ⇒ErdÅ‘s–Woods conjecture, Fermat–Catalan conjecture Formulated by David Masser and Joseph Oesterlé. [1] Proof claimed in 2012 by Shinichi Mochizuki: n/a ...

  4. Category:Conjectures - Wikipedia

    en.wikipedia.org/wiki/Category:Conjectures

    A conjecture is a proposition that is unproven. Conjectures are related to hypotheses , which in science are empirically testable conjectures. In mathematics , a conjecture is an unproven proposition that appears correct.

  5. Goldbach's conjecture - Wikipedia

    en.wikipedia.org/wiki/Goldbach's_conjecture

    This conjecture is known as Lemoine's conjecture and is also called Levy's conjecture. The Goldbach conjecture for practical numbers, a prime-like sequence of integers, was stated by Margenstern in 1984, [33] and proved by Melfi in 1996: [34] every even number is a sum of two practical numbers.

  6. Category:Conjectures that have been proved - Wikipedia

    en.wikipedia.org/wiki/Category:Conjectures_that...

    Manin–Mumford conjecture; Marden tameness conjecture; Mariño–Vafa conjecture; Milin conjecture; Milnor conjecture (K-theory) Milnor conjecture (knot theory) Modularity theorem; Mordell conjecture; Mordell–Lang conjecture; Mordell's conjecture; Morita conjectures

  7. abc conjecture - Wikipedia

    en.wikipedia.org/wiki/Abc_conjecture

    The abc conjecture (also known as the Oesterlé–Masser conjecture) is a conjecture in number theory that arose out of a discussion of Joseph Oesterlé and David Masser in 1985. [ 1 ] [ 2 ] It is stated in terms of three positive integers a , b {\displaystyle a,b} and c {\displaystyle c} (hence the name) that are relatively prime and satisfy a ...

  8. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Kepler conjecture (discrete geometry) Kharitonov's theorem (control theory) Khinchin's theorem (probability) Killing–Hopf theorem (Riemannian geometry) Kinoshita–Lee–Nauenberg theorem (quantum field theory) Kirby–Paris theorem (proof theory) Kirchberger's theorem (discrete geometry) Kirchhoff's theorem (graph theory)

  9. Twin prime - Wikipedia

    en.wikipedia.org/wiki/Twin_prime

    A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair (17, 19) or (41, 43). In other words, a twin prime is a prime that has a prime gap of two.