Primality Testing — A Deterministic Algorithm

  • S. Harari
Part of the International Centre for Mechanical Sciences book series (CISM, volume 279)


The most ancient and simple method for testing if a number is prime or not consists in factoring n. Using the fact that a non prime has a divisor r such that . We obtain a method usable for numbers up to 1016 on a computer. It necessitates operations, which is large when n is big. Remarkable improvements have been made. On a pocket calculator one can factor numbers up to 1018 and on a large computer up to 1040 with 0(n1/4) algorithms.


Prime Ideal Remarkable Improvement Deterministic Algorithm Primitive Root Riemann Hypothesis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer-Verlag Wien 1983

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  • S. Harari

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