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

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,...

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...

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

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

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...

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

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

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

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...

test, and Preda Mihăilescu created a proof for the 150-year-old Catalan's conjecture.: 261  The September 11 attacks of the previous year caused a shift...

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

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

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...

Catalan's constant. These results by Wadim Zudilin and Tanguy Rivoal are related to similar ones given for the odd zeta constants ζ(2n+1). Catalan's constant...

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...

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

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...

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

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)...

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...

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...

Casimir effect – Hendrik Casimir Catalan's conjecture (a.k.a. Mihăilescu's theorem), Catalan numbers – Eugène Charles Catalan Cauchy number (a.k.a. Hooke number)...

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

Gillies' conjecture on the distribution of numbers of prime factors of Mersenne numbers Lucas–Lehmer primality test Lucas primality test Catalan's Mersenne...

applications of it." Chein (1976) used Størmer's method to prove Catalan's conjecture on the nonexistence of consecutive perfect powers (other than 8,9)...

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...

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...

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...