Accelerated prime sieving using architecture-optimized partial prime product table

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United States of America Patent

PATENT NO 7552164
SERIAL NO

12108513

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Abstract

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This embodiment teaches a variation of GCD-based sieving, building tables of prime products, but intentionally restricting the size of table entries to fit within a single machine word. This combination allows one to mix advantages of the two most popular sieves, while retaining the simple and straightforward structure of the simpler one. Divisor length restriction can provide significant savings in the number of long divisions, but may be implemented with only two very specific primitives. The two primitives offer better optimization capabilities than a fully generic multiword arithmetic library.

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Patent Owner(s)

Patent OwnerAddress
INTERNATIONAL BUSINESS MACHINES CORPORATIONNEW ORCHARD ROAD ARMONK NY 10504

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Inventor(s)

Inventor Name Address # of filed Patents Total Citations
Harfouch, Joseph Perth, AU 1 1
Visegrady, Tamas Zürich, CH 85 994
Wu, Nicholas Perth, AU 9 25

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