A Fully Distributed Prime Numbers Generation using the Wheel Sieve
نویسنده
چکیده
This article presents a new distributed approach for generating all prime numbers up to a given limit. From Eratosthenes, who elaborated the first prime sieve (more than 2000 years ago), to the advances of the parallel computers (which have permitted to reach large limits or to obtain the previous results in a shorter time), prime numbers generation still represents an attractive domain of research. Nowadays, prime numbers play a central role in cryptography and their interest has been increased by the very recent proof that primality testing is in P. In this work, we propose a new distributed algorithm which generates all prime numbers in a given finite interval [2, ..., n], based on the wheel sieve. As far as we know, this paper designs the first fully distributed wheel sieve algorithm.
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A distributed wheel sieve algorithm using Scheduling by Multiple Edge Reversal
This paper presents a new distributed approach for generating all prime numbers in a given interval of integers. From Eratosthenes, who elaborated the first prime sieve (more than 2000 years ago), to the current generation of parallel computers, which have permitted to reach larger bounds on the interval or to obtain previous results in a shorter time, prime numbers generation still represents ...
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