Publicado

2002-07-01

Infinite sets of positive integers whose sums are free of powers

Palabras clave:

Infinite sets of integers, perfect powers (es)

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Autores/as

  • 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.

CĂłmo citar

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 (jul. 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 ene. 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), pp. 67–70. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33829 (Accedido: 22 enero 2025).

IEEE

[1]
F. Luca, «Infinite sets of positive integers whose sums are free of powers», rev.colomb.mat, vol. 36, n.º 2, pp. 67–70, jul. 2002.

MLA

Luca, F. «Infinite sets of positive integers whose sums are free of powers». Revista Colombiana de Matemáticas, vol. 36, n.º 2, julio de 2002, pp. 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 (julio 1, 2002): 67–70. Accedido enero 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 de julio de 2002 [citado 22 de enero de 2025];36(2):67-70. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33829

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