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-complete sequences of integers

Authors:	P Erdos Mordechai Lewin

Institution:	Mathematical Institute, Hungarian Academy of Sciences, Realtanoda u. 13-15, H-1053 Budapest, Hungary and Department of Mathematics, Technion, Israel Institute of Technology, Haifa 32000, Israel Mordechai Lewin ; Department of Mathematics, Technion, Israel Institute of Technology, Haifa 32000, Israel

Abstract:	An infinite sequence $a_1<a_2<\dotsb$ is -complete if every sufficiently large integer is the sum of such that no one divides the other. We investigate -completeness of sets of the form $\{p^\alpha q^\beta\}$ and $\{p^\alpha q^\beta r^\gamma\}$ with $\alpha,\beta,\gamma$ nonnegative.

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