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Sieve Of Eratosthenes.pdf

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Preview of Sieve of Eratosthenes
🔗 Source: cs.hmc.edu
📊 Size: 217 KB
👤 Author: Melissa O'Neill
⬇️ Downloads: 532

Summary

The widely-used example of the Sieve of Eratosthenes in lazy functional programming is not the actual Sieve of Eratosthenes algorithm, but rather a naive trial division algorithm that checks primality by testing divisibility by each prime less than the number. The genuine Sieve of Eratosthenes has a time complexity of Θ(n log log n), whereas the naive algorithm has a much worse performance. A correct implementation of the Sieve of Eratosthenes in a lazy functional style is possible and is presented in the paper, highlighting the importance of algorithmic details and data structure choice.

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Description

The widely-used example of the Sieve of Eratosthenes in lazy functional programming is not the actual Sieve of Eratosthenes algorithm, but rather a naive trial...

Technical Information

  • File Format: PDF
  • File Size: 217 KB
  • Pages: 12
  • Language: EN
  • Author: Melissa O'Neill
  • Total Downloads: 532
  • Last Updated: 22 hours ago

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