Number Theory - Prime Numbers and Factoring

References: Carl Pomerance [Darmouth]: https://math.dartmouth.edu/~carlp/ https://math.dartmouth.edu/~carlp/PDF/paper99.pdf - The Number Field Sieve http://mathworld.wolfram.com/NumberFieldSieve.html Jeff Gilchrist: http://gilchrist.ca/jeff/factoring/index.html http://gilchrist.ca/jeff/factoring/nfs_beginners_guide.html Crypto-World: http://www.crypto-world.com/FactorPapers.html Prime Pages http://primes.utm.edu/primes/home.php Eran Tromer http://www.cs.tau.ac.il/~tromer/publications.html A Computational Introduction to Number Theory and Algebra Victor Shoup http://www.shoup.net/ntb/ CADO-NFS http://cado-nfs.gforge.inria.fr/download.html CADO-NFS slide deck (Zimmerman( https://members.loria.fr/PZimmermann/talks/cado.pdf CADO-NFS discussion archive http://lists.gforge.inria.fr/pipermail/cado-nfs-discuss/ Better Polynomial Selections: https://members.loria.fr/PZimmermann/papers/sopt-20140905.pdf Integer Factorization Per Leslie Jensen Master Thesis http://www.pgnfs.org/DOCS/thesis.pdf Knuth Preprints http://www-cs-faculty.stanford.edu/~uno/preprints.html Factoring as a Service http://eprint.iacr.org/2015/1000.pdf FactorDB: http://factordb.com/status.php Primo: Factoring Class Polynomials over the Genus Field http://www.ellipsa.eu/public/howtos/files/fcpogf.pdf Block Weidmann https://hal.archives-ouvertes.fr/file/index/docid/103417/filename/jsc.pdf http://maths-people.anu.edu.au/~brent/ftp/champs03.txt http://primefan.ru/xyyxf Other references: http://maths-people.anu.edu.au/~brent/pd/rpb193.pdf http://maths-people.anu.edu.au/~brent/pd/rpb102.pdf https://members.loria.fr/PZimmermann/papers/ecm-submitted.pdf http://maths-people.anu.edu.au/~brent/pd/rpb196sp.pdf http://maths-people.anu.edu.au/~brent/select.html http://www.ams.org/journals/mcom/all_issues.html http://maths-people.anu.edu.au/~brent/pub/pubsall.html http://maths-people.anu.edu.au/~brent/ftp/champs.txt http://cado-nfs.gforge.inria.fr/index.html https://gforge.inria.fr/frs/?group_id=135 https://ocw.mit.edu/courses/mathematics/18-783-elliptic-curves-spring-2015/index.htm https://ocw.mit.edu/courses/mathematics/18-783-elliptic-curves-spring-2015/Syllabus/ http://www.jmilne.org/math/Books/ectext5.pdf http://www.dms.umontreal.ca/~andrew/PDF/msrire.pdf Eliptic Curves test http://www.jmilne.org/math/Books/ectext5.pdf