@incollection{SB_1980-1981__23__243_0,
author = {Lenstra, H. W., Jr.},
title = {Primality testing algorithms},
booktitle = {S\'eminaire Bourbaki : vol. 1980/81, expos\'es 561-578},
series = {S\'eminaire Bourbaki},
note = {talk:576},
pages = {243--257},
year = {1981},
publisher = {Springer-Verlag},
address = {Berlin/Heidelberg},
number = {23},
zbl = {0476.10005},
language = {en},
url = {https://www.numdam.org/item/SB_1980-1981__23__243_0/}
}
TY - CHAP AU - Lenstra, H. W., Jr. TI - Primality testing algorithms BT - Séminaire Bourbaki : vol. 1980/81, exposés 561-578 AU - Collectif T3 - Séminaire Bourbaki N1 - talk:576 PY - 1981 SP - 243 EP - 257 IS - 23 PB - Springer-Verlag PP - Berlin/Heidelberg UR - https://www.numdam.org/item/SB_1980-1981__23__243_0/ LA - en ID - SB_1980-1981__23__243_0 ER -
%0 Book Section %A Lenstra, H. W., Jr. %T Primality testing algorithms %B Séminaire Bourbaki : vol. 1980/81, exposés 561-578 %A Collectif %S Séminaire Bourbaki %Z talk:576 %D 1981 %P 243-257 %N 23 %I Springer-Verlag %C Berlin/Heidelberg %U https://www.numdam.org/item/SB_1980-1981__23__243_0/ %G en %F SB_1980-1981__23__243_0
Lenstra, H. W., Jr. Primality testing algorithms, dans Séminaire Bourbaki : vol. 1980/81, exposés 561-578, Séminaire Bourbaki, no. 23 (1981), Exposé no. 576, 15 p.. https://www.numdam.org/item/SB_1980-1981__23__243_0/
1. , On distinguishing prime numbers from composite numbers (abstract), Proc. 21st Annual IEEE Symposium on Foundations of Computer Science (1980), 387-406.
2. , , , On distinguishing prime numbers from composite numbers, preprint. | MR
3. , , , Galois theory and Galois cohomology of commutative rings, Memoirs Amer. Math. Soc. 52 (1965), 15-33. | Zbl | MR
4. , , Separable algebras over commutative rings, Lecture Notes in Mathematics 181, Springer, Berlin 1971. | Zbl | MR
5. , How to factor a number, Proc. Fifth Manitoba Conf. Numer. Math., Utilitas, Winnipeg (1975), 49-89. | Zbl | MR
6. , The art of computer programming, vol. 2, Seminumerical algorithms, second edition, Addison-Wesley, Reading 1981. | Zbl | MR
7. , Cyclotomic fields, Springer, Berlin 1978. | Zbl | MR
8. , Euclid's algorithm in cyclotomic fields, J. London Math. Soc. (2) 10 (1975), 457-465. | Zbl | MR
9. , Theorems on factorization and primality testing, Proc. Cambridge Philos. Soc. 76 (1974), 521-528. | MR | Zbl
10. , Über die Anzahl der Teiler einer natürlichen Zahl, welche die Form p - 1 haben, Monatsh. Math. 59 (1955), 91-97. | Zbl | MR
11. , Refined analysis and improvements on some factoring algorithms, to appear in: Automata, Languages and Programming, Eighth Colloquium, Haifa 1981, Lecture Notes in Computer Science, to appear. | Zbl | MR
12. , , A fast Monte-Carlo test for primality, SIAM J. Comput. 6 (1977), 84-85; erratum, 7 (1978), 118. | Zbl | MR
13. , Primality testing on a computer, Ars Combin. 5 (1978), 127-185. | Zbl | MR






