✦ LIBER ✦

Amicable Number Triples

✍ Scribed by L. E. Dickson

Book ID: 123797639
Publisher: Mathematical Association of America
Year: 1913
Tongue: English
Weight: 910 KB
Volume: 20
Category: Article
ISSN: 0002-9890
DOI: 10.2307/2973442

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In this paper, we prove that in every 2-coloring of the set {1, . . . , N } = R ∪ B, one can find at least N 2 /22 + O(N ) monochromatic solutions of the equation x + y = z. This solves a problem of Graham et al. [1].

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