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FUNCTIONAL PEARL Lazy wheel sieves and spirals of primes

Published online by Cambridge University Press:  01 March 1997

COLIN RUNCIMAN
COLIN RUNCIMAN
Affiliation:
Department of Computer Science, University of York, Heslington, York YO1 5DD, UK. e-mail: colin@cs.york.ac.uk
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Abstract

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The popular method of enumerating the primes is the Sieve of Eratosthenes. It can be programmed very neatly in a lazy functional language, but runs rather slowly. A little-known alternative method is the Wheel Sieve, originally formulated as a fast imperative algorithm for obtaining all primes up to a given limit, assuming destructive access to a bit-array. This article describes functional variants of the wheel sieve that enumerate all primes as a lazy list.

Information

Type
Research Article
Information
Journal of Functional Programming , Volume 7 , Issue 2 , March 1997 , pp. 219 - 225
Copyright
© 1997 Cambridge University Press
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