An Efficient Algorithm to Find All Primes in A Given Interval

Year 2019, Volume: 11 Issue: 2, 74 - 77, 31.12.2019

Farhat Mechkene

Abstract

In this paper, we propose a deterministic algorithm for primality testing and primes search in a given integer interval. The algorithm use a new primality test method, which replace modulo operator with elementary arithmetic operations, hence a better efficiency than divisibility test. The algorithm is working; it generates a prime base by an expansion process and is appropriate for a fast search for small primes (a dozen of digits). We propose a filtering method to overcome memory constraints, and use the algorithm to expand much more the prime base and find medium size primes (dozens of digits).

Keywords

Finding all frimes in an interval, deterministic algorithms for primality testing

References

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