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Catalan's conjecture (or Mihăilescu's theorem) is a theorem in number theory that was conjectured by the mathematician Eugène Charles Catalan in 1844...

number theory, the Fermat–Catalan conjecture is a generalization of Fermat's Last Theorem and of Catalan's conjecture. The conjecture states that the equation...

Catalan pseudoprime Catalan's triangle Catalan–Dickson conjecture Catalan–Mersenne number conjecture Catalan beta function Fermat–Catalan conjecture Fuss–Catalan...

Conjectures concerning the Mersenne numbers. Mathematics of Computation vol. 9 (1955) p. 120-121 [retrieved 2012-10-19] Weisstein, Eric W. "Catalan-Mersenne...

than 2. The Fermat–Catalan conjecture generalizes Fermat's last theorem with the ideas of the Catalan conjecture. The conjecture states that the generalized...

{1}{z}}<1} . Beal's conjecture can be restated as "All Fermat–Catalan conjecture solutions will use 2 as an exponent". The abc conjecture would imply that...

including Roth's theorem, the Mordell conjecture, the Fermat–Catalan conjecture, and Brocard's problem. The conjecture states that: given ε > 0, there exists...

perfect number, or a set of amicable or sociable numbers? (Catalan's aliquot sequence conjecture) (more unsolved problems in mathematics) In mathematics...

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...

is prime infinitely often. Catalan's Mersenne conjecture: some Catalan–Mersenne number is composite and thus all Catalan–Mersenne numbers are composite...

each a kth power of an integer, equals another kth power. The Fermat-Catalan conjecture asks whether there are an infinitude of examples in which the sum...

Romanian mathematician, best known for his proof of the 158-year-old Catalan's conjecture. Born in Bucharest, he is the brother of Vintilă Mihăilescu. After...

conjecture Kelvin's conjecture Kouchnirenko's conjecture Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved...

counterexamples, such as ak + bk = ck + dk for k ≥ 5. Beal's conjecture Fermat–Catalan conjecture Jacobi–Madden equation List of unsolved problems in mathematics Experimental...

up Catalan, Catalans, catalan, catalans, or catalán in Wiktionary, the free dictionary. Catalan may refer to: From, or related to Catalonia: Catalan language...

proved the Catalan conjecture, a number-theoretical conjecture, formulated by the French and Belgian mathematician Eugène Charles Catalan, which had stood...

Ramanujan–Nagell equation, 2n − 7 = x2 the equation of the Fermat–Catalan conjecture and Beal's conjecture, am + bn = ck with inequality restrictions on the exponents...

equation appears in various contexts in elementary geometry. The Fermat–Catalan conjecture concerns a certain Diophantine equation, equating the sum of two terms...

a French amateur mathematician. Fermat–Apollonius circle Fermat–Catalan conjecture Fermat cubic Fermat curve Fermat–Euler theorem Fermat number Fermat...

number's digits, making 121 a self number. Ribenboim, Paulo (1994). Catalan's conjecture : are 8 and 9 the only consecutive powers?. Boston: Academic Press...