Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed
Reexamination Certificate
2008-04-24
2009-06-23
Mai, Tan V (Department: 2193)
Electrical computers: arithmetic processing and calculating
Electrical digital calculating computer
Particular function performed
C380S028000
Reexamination Certificate
active
07552164
ABSTRACT:
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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Harfouch Joseph
Visegrady Tamas
Wu Nicholas
International Business Machines - Corporation
Mai Tan V
MaxValueIP LLC
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