Editing RSA numbers (section)

==RSA-160==
RSA-160 has 160 decimal digits (530 bits), and was factored on April 1, 2003, by a team from the [[University of Bonn]] and the [[Germany|German]] [[Federal Office for Information Security]] (BSI). The team contained [[Jens Franke|J. Franke]], F. Bahr, [[Thorsten Kleinjung|T. Kleinjung]], M. Lochter, and M. Böhm.<ref>{{Cite web |last1=Bahr |first1=F. |last2=Franke |first2=J. |last3=Kleinjung |first3=T. |last4=Lochter |first4=M. |last5=Böhm |first5=M. |date=1 Apr 2003 |editor-last=Franke |editor-first=Jens |title=RSA-160 |url=https://members.loria.fr/PZimmermann/records/rsa160 |url-status=live |archive-url=https://web.archive.org/web/20230902110111/https://members.loria.fr/PZimmermann/records/rsa160 |archive-date=2023-09-02 |access-date=2008-03-10 |website=Paul Zimmermann, Laboratoire Lorrain de Recherche en Informatique et ses Applications |quote=We have factored RSA160 by gnfs.}}</ref><ref>
RSA Laboratories, [http://www.rsasecurity.com/rsalabs/node.asp?id=2097 RSA-160 is factored!] {{webarchive|url=https://web.archive.org/web/20061230233713/http://www.rsasecurity.com/rsalabs/node.asp?id=2097 |date=2006-12-30 }}. Retrieved on 2008-03-10.</ref>

The value and factorization are as follows:

 RSA-160 = 2152741102718889701896015201312825429257773588845675980170497676778133145218859135673011059773491059602497907111585214302079314665202840140619946994927570407753

 RSA-160 = 4542789285848139407168619064973883165613714577846979325095998470925000415733
           5359
         × 4738809060383201619663383230378895197326892292104095794474135464881202849390
           9367

The factorization was found using the [[general number field sieve]] algorithm.