Baillie–PSW primality test (English Wikipedia)

Robert Baillie; Andrew Fiori; Samuel S. Wagstaff, Jr. (July 2021). "Strengthening the Baillie-PSW Primality Test". Mathematics of Computation. 90 (330): 1931–1955. arXiv:2006.14425. doi:10.1090/mcom/3616. ISSN 0025-5718. S2CID 220055722.

dartmouth.edu

math.dartmouth.edu

Pomerance, Carl; Selfridge, John L.; Wagstaff, Samuel S. Jr. (July 1980). "The pseudoprimes to 25·10⁹" (PDF). Mathematics of Computation. 35 (151): 1003–1026. doi:10.1090/S0025-5718-1980-0572872-7. JSTOR 2006210.

docjar.org

BigInteger.java DocJar: Search Open Source Java API.

doi.org

Pomerance, Carl; Selfridge, John L.; Wagstaff, Samuel S. Jr. (July 1980). "The pseudoprimes to 25·10⁹" (PDF). Mathematics of Computation. 35 (151): 1003–1026. doi:10.1090/S0025-5718-1980-0572872-7. JSTOR 2006210.
Baillie, Robert; Wagstaff, Samuel S. Jr. (October 1980). "Lucas Pseudoprimes" (PDF). Mathematics of Computation. 35 (152): 1391–1417. doi:10.1090/S0025-5718-1980-0583518-6. JSTOR 2006406. MR 0583518.
Chen, Zhuo; Greene, John (August 2003). "Some Comments on Baillie–PSW Pseudoprimes" (PDF). The Fibonacci Quarterly. 41 (4): 334–344. doi:10.1080/00150517.2003.12428566.
Robert Baillie; Andrew Fiori; Samuel S. Wagstaff, Jr. (July 2021). "Strengthening the Baillie-PSW Primality Test". Mathematics of Computation. 90 (330): 1931–1955. arXiv:2006.14425. doi:10.1090/mcom/3616. ISSN 0025-5718. S2CID 220055722.
Wagstaff, Samuel S. Jr. (1982). "Pseudoprimes and a generalization of Artin's conjecture". Acta Arithmetica. 41 (2): 141–150. doi:10.4064/aa-41-2-141-150.
Arnault, F. (August 1995). "Constructing Carmichael Numbers Which Are Strong Pseudoprimes to Several Bases". Journal of Symbolic Computation. 20 (2): 151–161. doi:10.1006/jsco.1995.1042.
Albrecht, Martin R.; Massimo, Jake; Paterson, Kenneth G.; Somorovsky, Juraj (15 October 2018). Prime and Prejudice: Primality Testing Under Adversarial Conditions (PDF). ACM SIGSAC Conference on Computer and Communications Security 2018. Toronto: Association for Computing Machinery. pp. 281–298. doi:10.1145/3243734.3243787.

flintlib.org

FLINT: Fast Library for Number Theory documentation for FLINT 2.5.

free.fr

mpqs.free.fr

Baillie, Robert; Wagstaff, Samuel S. Jr. (October 1980). "Lucas Pseudoprimes" (PDF). Mathematics of Computation. 35 (152): 1391–1417. doi:10.1090/S0025-5718-1980-0583518-6. JSTOR 2006406. MR 0583518.

gmplib.org

GNU MP 6.2.0 Prime Testing Algorithm documentation for GMPLIB.

iacr.org

eprint.iacr.org

Albrecht, Martin R.; Massimo, Jake; Paterson, Kenneth G.; Somorovsky, Juraj (15 October 2018). Prime and Prejudice: Primality Testing Under Adversarial Conditions (PDF). ACM SIGSAC Conference on Computer and Communications Security 2018. Toronto: Association for Computing Machinery. pp. 281–298. doi:10.1145/3243734.3243787.

java.net

hg.openjdk.java.net

BigInteger.java documentation for OpenJDK.

jstor.org

Pomerance, Carl; Selfridge, John L.; Wagstaff, Samuel S. Jr. (July 1980). "The pseudoprimes to 25·10⁹" (PDF). Mathematics of Computation. 35 (151): 1003–1026. doi:10.1090/S0025-5718-1980-0572872-7. JSTOR 2006210.
Baillie, Robert; Wagstaff, Samuel S. Jr. (October 1980). "Lucas Pseudoprimes" (PDF). Mathematics of Computation. 35 (152): 1391–1417. doi:10.1090/S0025-5718-1980-0583518-6. JSTOR 2006406. MR 0583518.

maplesoft.com

isprime - Maple Help documentation at maplesoft.com.

math.ca

fq.math.ca

Chen, Zhuo; Greene, John (August 2003). "Some Comments on Baillie–PSW Pseudoprimes" (PDF). The Fibonacci Quarterly. 41 (4): 334–344. doi:10.1080/00150517.2003.12428566.

metacpan.org

Math::Primality Perl module with BPSW test
Math::Prime::Util Perl module with primality tests including BPSW
Math::Prime::Util::GMP Perl module with primality tests including BPSW, using C+GMP

pseudoprime.com

Pomerance, C. (1984). "Are There Counterexamples to the Baillie–PSW Primality Test?" (PDF).

sagemath.org

doc.sagemath.org

SageMath Documentation documentation for SageMath.

semanticscholar.org

api.semanticscholar.org

Robert Baillie; Andrew Fiori; Samuel S. Wagstaff, Jr. (July 2021). "Strengthening the Baillie-PSW Primality Test". Mathematics of Computation. 90 (330): 1931–1955. arXiv:2006.14425. doi:10.1090/mcom/3616. ISSN 0025-5718. S2CID 220055722.

sourceforge.io

maxima.sourceforge.io

Maxima Manual documentation for Maxima.

sympy.org

"SymPy". SymPy - A Python library for symbolic mathematics.

tmu.ac.jp

tnt.math.se.tmu.ac.jp

NZMATH Archived 2013-01-17 at the Wayback Machine number theory calculation system in Python

trnicely.net

Nicely, Thomas R. (2012-01-13) [First published 2005-06-10]. "The Baillie–PSW Primality Test". trnicely.net. Archived from the original on 2019-11-21. Retrieved 2013-03-17.

u-bordeaux.fr

pari.math.u-bordeaux.fr

User's Guide to PARI/GP (version 2.11.1) documentation for PARI/GP.

umn.edu

d.umn.edu

Greene, John R. (n.d.). "Baillie–PSW". University of Minnesota Duluth. Retrieved May 29, 2020.

usyd.edu.au

magma.maths.usyd.edu.au

Magma Computational Algebra System - Primes and Primality Testing documentation for Magma.

web.archive.org

Nicely, Thomas R. (2012-01-13) [First published 2005-06-10]. "The Baillie–PSW Primality Test". trnicely.net. Archived from the original on 2019-11-21. Retrieved 2013-03-17.
NZMATH Archived 2013-01-17 at the Wayback Machine number theory calculation system in Python

wolfram.com

reference.wolfram.com

Wolfram Language & System Documentation Center - Some Notes on Internal Implementation documentation at wolfram.com.

worldcat.org

search.worldcat.org

Robert Baillie; Andrew Fiori; Samuel S. Wagstaff, Jr. (July 2021). "Strengthening the Baillie-PSW Primality Test". Mathematics of Computation. 90 (330): 1931–1955. arXiv:2006.14425. doi:10.1090/mcom/3616. ISSN 0025-5718. S2CID 220055722.