Farhat MECHKENE

An Efficient Algorithm to Find All Primes in A Given Interval

ISSN: 2148-1830
Yayın Aralığı: 2
Başlangıç: 2013
Yayıncı: MATEMATİKÇİLER DERNEĞİ

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,

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