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The Genuine Sieve of Eratosthenes


A much beloved and widely used example showing the elegance and simplicity of lazy functional programming represents itself as “The Sieve of Eratosthenes.” This paper shows that this example is not the sieve and presents an implementation that actually is.

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S. A. Bengelloun (1986) An incremental primal sieve. Acta Inf. 23, 119125.

R. Crandall & C. Pomerance (2001) Prime Numbers. A Computational Perspective. New York: Springer-Verlag.

P. Pritchard (1987) Linear prime-number sieves: A family tree. Sci. Comput. Prog. 9, 1735.

P. Pritchard (1994) Improved incremental prime number sieves. In Proceedings of the First International Symposium on Algorithmic Number Theory. London: Springer-Verlag, pp. 280288.

C. Runciman (1997) Lazy wheel sieves and spirals of primes. J. Funct. Prog. 7 (2), 219225.

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Journal of Functional Programming
  • ISSN: 0956-7968
  • EISSN: 1469-7653
  • URL: /core/journals/journal-of-functional-programming
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