euler's conjecture - Axtarish в Google
In number theory, Euler's conjecture is a disproved conjecture related to Fermat's Last Theorem. It was proposed by Leonhard Euler in 1769.
Гипотеза Эйлера Гипотеза Эйлера
Гипотеза Эйлера — предположение о том, что для любого натурального числа никакую -ю степень натурального числа нельзя представить в виде суммы -х степеней других натуральных чисел. То есть уравнения: не имеют решения в натуральных числах.... Википедия
The mathematician Leonhard Euler (1707–1783) made several different conjectures which are all called Euler's conjecture: Euler's sum of powers conjecture ...
Euler conjectured that at least n nth powers are required for n>2 to provide a sum that is itself an nth power. The conjecture was disproved by Lander and ...
The Euler's Sum of Powers Conjecture attempted to generalize Fer- mat's last theorem. It states that if the sum of n, kth powers is itself a kth power, then n ...
This is a counterexample to a conjecture by Euler [l] that at least n nth powers are required to sum to an nth power, n>2. REFERENCE. 1. L. E. Dickson, History ...
Abstract · 1. Introduction. In 1769, Euler conjectured that the Diophantine equation. (1.1) as. 1+as · 2. Two auxiliary lemmas. To prove our theorems, we need ...
2 окт. 2019 г. · A counterexample to Euler's conjecture on sums of like powers by L.J Lander and T.R Parkin is one of the shortest research papers ever ...
22 мар. 2013 г. · In 1769, Leonhard Euler conjectured that for 1<k<n 1 < k < n there is no set of positive integers a1,…,ak a 1 , … , a k such that ...
11 мар. 2019 г. · Parkin, "A counterexample to Euler's sum of powers conjecture," Math. Comp., v. 21, 1967, pp. 101-103. The one result was striking enough grab ...
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