Trading time for space in prime number sieves

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1423, Issue , 1998, Pages 179-195

  Sorenson, Jonathan P ^a  

^a BUTLER UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NUMBER THEORY;

LINEAR TIME; PRIME NUMBER; RUNNING TIME; SPACE COMPLEXITY;

SIEVES;

EID: 84947742145     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/bfb0054861     Document Type: Conference Paper

References (15)

1. Adleman, L.M., Pomerance, C., Rumely, R.: On distinguishing prime numbers from composite numbers. Annals of Mathematics 117 (1983) 173-206
2. Bach, E.: Analytic Methods in the Analysis and Design of Number-Theoretic Algorithms. MIT Press, Cambridge (1985)
3. Bach, E., Shallit, J.: Algorithmic Number Theory, Vol. 1. MIT Press, Cambridge (1996)
4. 12. BIT 17 (1977) 121-127
5. Bernstein, D.J.: Personal communication. (1998)
6. Dunten, B., Jones, J., Sorenson, J.P.: A space-efficient fast prime number sieve. Information Processing Letters 59 (1996) 79-84
7. Greene, D.H., Knuth, D.E.: Mathematics for the Analysis of Algorithms. 3rd edn. Birkhäuser, Boston (1990)
8. Hardy, G.H., Wright, E.M.: An Introduction to the Theory of Numbers. 5th edn. Oxford University Press (1979)
9. Miller, G.: Riemann’s hypothesis and tests for primality. Journal of Computer and System Sciences 13 (1976) 300-317
10. Pomerance, C. (ed.): Cryptology and Computational Number Theory. Proceedings of Symposia in Applied Mathematics, Vol. 42. American Mathematical Society, Providence (1990)
11. Pritchard, P.: A sublinear additive sieve for finding prime numbers. Communications of the ACM 24(1) (1981) 18-23, 772
12. Pritchard, P.: Fast compact prime number sieves (among others). Journal of Algorithms 4 (1983) 332-344
13. Pritchard, P.: Linear prime-number sieves: A family tree. Science of Computer Programming 9 (1987) 17-35
14. Sorenson, J.P., Parberry, I.: Two fast parallel prime number sieves. Information and Computation 144(1) (1994) 115-130
15. Stroustrup, B.: The C++ Programming Language. 2nd edn. Addison-Wesley (1991)