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

The conjecture that there are only finitely many triples of relatively prime integer powers x^p, y^q, z^r for which x^p+y^q=z^r with 1/p+1/q+1/

The Fermat–Catalan conjecture states that the equation am + bn = ck has only finitely many solutions (a, b, c, m, n, k) with distinct triplets of values (am ...

4 дня назад · Abstract:We propose conjectural generalizations of the Fermat-Catalan conjecture, the Tijdeman-Zagier conjecture, and of the Fermat Last Theorem ...

2 окт. 2011 г. · The Fermat-Catalan conjecture is that am+bn=ck has only a finite number of solutions when a,b,c are positive coprime integers, and m,n,k are ... How were the five large solutions to the Fermat-Catalan conjecture ... The Fermat-Catalan conjecture with exponents (2,n,4), n≥4 Fermat-Catalan eighth powers - Math Stack Exchange If Beal's conjecture is proven true what would be the impact for ... Другие результаты с сайта math.stackexchange.com

By Catalan's conjecture, we know that only one of these equations has non-trivial solutions, and this equation is ( k 2 D ) m / 2 − y n = 1 .

19 янв. 2015 г. · Our goal, here, is to show and to prove formally, with the tools of the logic and algebra, how this exponent 2 appears in the equations !

22 окт. 2024 г. · A proof of Fermat-Catalan conjecture. Authors: Jamel Ghanouchi at RIME Dept of Mathematics. Jamel Ghanouchi. Download full-text PDF.

24 авг. 2020 г. · The Fermat-Catalan conjecture is that for coprime x,y,z and positive integers a,b,c with 1/a+1/b+1/c<1, the generalized Fermat equation xa+yb=zc ...

An elementary proof of Fermat-Catalan conjecture. Jamel Ghanouchi. Ecole ... ( MSC=11D04) We begin with Fermat-Catalan equation Y p = Xq +1 and solve it.