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Sieving Procedures on a Digital Computer

Sieving procedures on a digital computer
Authors: Wunderlich, Marvin C.;

Sieving Procedures on a Digital Computer

Abstract

Many sequences are most efficiently generated on a digital computer with a sieving procedure in which one represents in the main memory of the machine a set of elements known to contain the desired sequence and then systematically sieves out elements not in the desired sequence. In this expository paper, the technical aspects of programming such sieves are discussed. Special attention is given to the most efficient methods of representing sets in the main memory of the machine as well as the programming difficulties encountered when sieving on these sets. The paper concludes with a discussion of four examples in which sieving procedures were employed.

Keywords

Primality, sieve methods, Numerical algorithms for computer arithmetic, etc., sieving procedures, Factorization

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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