Primality test and primes enumeration using odd numbers indexation

Marc Wolf; François Wolf

doi:10.14738/tmlai.82.8054

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arXiv · 2106.01327

Primality test and primes enumeration using odd numbers indexation

Marc Wolf·François Wolf

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Abstract

Odd numbers can be indexed by the map k(n)=(n-3)/2, n belonging to 2N+3. We first propose a basic primality test using this index function that was first introduced in article (8). Input size of operations is reduced which improves computational time by a constant. We then apply similar techniques to Atkin prime-numbers sieve which uses modulus operations and finally to Pritchard wheel sieve, in both case yielding similar results.

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Marc Wolf, François Wolf. 2021-05-30. Primality test and primes enumeration using odd numbers indexation. https://doi.org/10.14738/tmlai.82.8054

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