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Differences of Sets and A Problem of Graham

Published online by Cambridge University Press:  20 November 2018

J. Marica  and
J. Schöheim
J. Marica
Affiliation:
University of Calgary, Alberta
J. Schöheim
Affiliation:
University of Calgary, Alberta
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Extract

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R. L. Graham has posed the following question:

Given n positive integers a1, < a2 <… < an, does there exists a pair of indices i, j such that ai/(ai, aj) ⩾ n? ((ai, aj) = g.c.d. of ai and aj).

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 5 , October 1969 , pp. 635 - 637
Copyright
Copyright © Canadian Mathematical Society 1969

References

1. Schonheim, J., Unsolved problem. (W. T. Tutte, Recent Progress in Combinatorics. Proc. Third Waterloo Conference, Academic Press, to appear).Google Scholar