Publié-e

2002-07-01

Infinite sets of positive integers whose sums are free of powers

Mots-clés :

Infinite sets of integers, perfect powers (es)

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Auteurs-es

  • Florian Luca Mathematical Institute, UNAM

In this short note, we construct an infinite set S of positive integers such that for all n ≥ 1 and any n distinct elements 𝓍1, ... , 𝓍n of S the sum [Formula Matemática]  is not a perfect power.

Comment citer

APA

Luca, F. (2002). Infinite sets of positive integers whose sums are free of powers. Revista Colombiana de Matemáticas, 36(2), 67–70. https://revistas.unal.edu.co/index.php/recolma/article/view/33829

ACM

[1]
Luca, F. 2002. Infinite sets of positive integers whose sums are free of powers. Revista Colombiana de Matemáticas. 36, 2 (juill. 2002), 67–70.

ACS

(1)
Luca, F. Infinite sets of positive integers whose sums are free of powers. rev.colomb.mat 2002, 36, 67-70.

ABNT

LUCA, F. Infinite sets of positive integers whose sums are free of powers. Revista Colombiana de Matemáticas, [S. l.], v. 36, n. 2, p. 67–70, 2002. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33829. Acesso em: 22 janv. 2025.

Chicago

Luca, Florian. 2002. « Infinite sets of positive integers whose sums are free of powers ». Revista Colombiana De Matemáticas 36 (2):67-70. https://revistas.unal.edu.co/index.php/recolma/article/view/33829.

Harvard

Luca, F. (2002) « Infinite sets of positive integers whose sums are free of powers », Revista Colombiana de Matemáticas, 36(2), p. 67–70. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/33829 (Consulté le: 22 janvier 2025).

IEEE

[1]
F. Luca, « Infinite sets of positive integers whose sums are free of powers », rev.colomb.mat, vol. 36, nᵒ 2, p. 67–70, juill. 2002.

MLA

Luca, F. « Infinite sets of positive integers whose sums are free of powers ». Revista Colombiana de Matemáticas, vol. 36, nᵒ 2, juillet 2002, p. 67-70, https://revistas.unal.edu.co/index.php/recolma/article/view/33829.

Turabian

Luca, Florian. « Infinite sets of positive integers whose sums are free of powers ». Revista Colombiana de Matemáticas 36, no. 2 (juillet 1, 2002): 67–70. Consulté le janvier 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33829.

Vancouver

1.
Luca F. Infinite sets of positive integers whose sums are free of powers. rev.colomb.mat [Internet]. 1 juill. 2002 [cité 22 janv. 2025];36(2):67-70. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/33829

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© Revista Colombiana de Matemáticas 2002

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Cette Ĺ“uvre est sous licence Creative Commons Attribution 4.0 International.