Editing RSA numbers (section)

==RSA-640==
RSA-640 has 193 decimal digits (640 bits). A cash prize of US$20,000 was offered by RSA Security for a successful factorization. On November 2, 2005, F. Bahr, M. Boehm, J. Franke and T. Kleinjung of the German Federal Office for Information Security announced that they had factorized the number using GNFS as follows:<ref>RSA Laboratories, [http://www.rsasecurity.com/rsalabs/node.asp?id=2964 RSA-640 is factored!] {{webarchive|url=https://web.archive.org/web/20070104090822/http://www.rsasecurity.com/rsalabs/node.asp?id=2964 |date=2007-01-04}}. Retrieved on 2008-03-10.</ref><ref>Jens Franke (2005-11-04), [http://www.crypto-world.com/announcements/rsa640.txt We have factored RSA640 by GNFS] {{Webarchive|url=https://web.archive.org/web/20080616132829/http://www.crypto-world.com/announcements/rsa640.txt |date=2008-06-16 }}. Retrieved on 2008-03-10.</ref><ref>Eric W. Weisstein (2005-11-08), [https://mathworld.wolfram.com/news/2005-11-08/rsa-640/ RSA-640 Factored] at MathWorld. Retrieved on 2008-03-10.</ref>

 RSA-640 = 3107418240490043721350750035888567930037346022842727545720161948823206440518
           0815045563468296717232867824379162728380334154710731085019195485290073377248
           22783525742386454014691736602477652346609

 RSA-640 = 1634733645809253848443133883865090859841783670033092312181110852389333100104
           508151212118167511579
         × 1900871281664822113126851573935413975471896789968515493666638539088027103802
           104498957191261465571

The computation took five months on 80 2.2&nbsp;GHz [[Advanced Micro Devices|AMD]] [[Opteron]] [[Central processing unit|CPUs]].

The slightly larger RSA-200 was factored in May 2005 by the same team.