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2002-07-01
Infinite sets of positive integers whose sums are free of powers
Keywords:
Infinite sets of integers, perfect powers (es)Downloads
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.
How to Cite
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. DisponĂvel em: https://revistas.unal.edu.co/index.php/recolma/article/view/33829. Acesso em: 22 jan. 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. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33829 (Accessed: 22 January 2025).
IEEE
[1]
F. Luca, “Infinite sets of positive integers whose sums are free of powers”, rev.colomb.mat, vol. 36, no. 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, no. 2, July 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 (July 1, 2002): 67–70. Accessed January 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]. 2002 Jul. 1 [cited 2025 Jan. 22];36(2):67-70. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/33829
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Copyright (c) 2002 Revista Colombiana de Matemáticas
This work is licensed under a Creative Commons Attribution 4.0 International License.
