On Elements of Sumsets with Many Prime Factors

On Elements of Sumsets with Many Prime Factors

In this paper we show that if A and B are "dense" sets of positive integers, then there is some member of the sumset A + B with many prime factors.

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Veröffentlicht in:Journal of number theory 1993-05, Vol.44 (1), p.93-104
Hauptverfasser: Erdos, P., Pomerance, C., Sarkozy, A., Stewart, C.L.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we show that if A and B are "dense" sets of positive integers, then there is some member of the sumset A + B with many prime factors.
ISSN:0022-314X
1096-1658
DOI:10.1006/jnth.1993.1038