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...

famous Catalan's conjecture, which was eventually proved in 2002; and introducing the Catalan numbers to solve a combinatorial problem. Catalan was born...

Mihăilescu proved Catalan's conjecture. This number-theoretical conjecture, formulated by the French and Belgian mathematician Eugène Charles Catalan in 1844,...

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

problems Catalan solids, a family of polyhedra Catalan's constant, a number that occurs in estimates in combinatorics Catalan's conjecture Catalan (grape)...

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

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

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...

64  The impossibility of the case A = 1 or B = 1 is implied by Catalan's conjecture, proven in 2002 by Preda Mihăilescu. (Notice C cannot be 1, or one...

theorem provided a strong impetus towards the eventual proof of Catalan's conjecture by Preda Mihăilescu. Mihăilescu's theorem states that there is only...

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

theory for such equations is not available; particular cases such as Catalan's conjecture and Fermat's Last Theorem have been tackled. However, the majority...

Mihăilescu's 2002 proof of Mihăilescu's theorem (formerly known as Catalan's conjecture). There are only 7 Wieferich pairs known: (2, 1093), (3, 1006003)...

Mihăilescu, Preda (2004). "Primary Cyclotomic Units and a Proof of Catalan's Conjecture". J. Reine Angew. Math. 572. Berlin: De Gruyter: 167–195. doi:10...

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b,...

Fermat's Last Theorem Mordell conjecture Euler's sum of powers conjecture abc Conjecture Catalan's conjecture Pillai's conjecture Hasse principle Diophantine...

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

tissues other than nervous. Preda Mihăilescu: known for his proof of Catalan's conjecture. Meinhard E. Mayer: an early contributor to the theory of vector-bosons...

if CFOP is used for their 3x3x3 stages. He also wrote a book on Catalan's conjecture. Schoof's algorithm Schoof–Elkies–Atkin algorithm Homepage Counting...

Nations Security Council Resolution 121 Ribenboim, Paulo (1994). Catalan's conjecture : are 8 and 9 the only consecutive powers?. Boston: Academic Press...

In mathematics, Catalan's constant G, is defined by G = β ( 2 ) = ∑ n = 0 ∞ ( − 1 ) n ( 2 n + 1 ) 2 = 1 1 2 − 1 3 2 + 1 5 2 − 1 7 2 + 1 9 2 − ⋯ , {\displaystyle...

whether a given number is prime. 2002 — Preda Mihăilescu proves Catalan's conjecture. 2004 — Ben Green and Terence Tao prove the Green–Tao theorem, which...

on quadratic forms, the Erdős–Ko–Rado theorem and his theorem on Catalan's conjecture. In 1955, he was one of the founding members of the Chinese Academy...

consecutive perfect powers is 23 = 8 and 32 = 9, thus proving Catalan's conjecture. Pillai's conjecture states that for any given positive integer k there are...

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...

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

The Lander, Parkin, and Selfridge conjecture concerns the integer solutions of equations which contain sums of like powers. The equations are generalisations...

test). 2002 – Preda Mihăilescu proves Catalan's conjecture. 2003 – Grigori Perelman proves the Poincaré conjecture. 2004 – the classification of finite...

theory. He was elected a member of the Académie des sciences in 1847. Catalan's conjecture Proof of Fermat's Last Theorem for specific exponents Lebesgue–Nagell...