Editing RSA numbers (section)

==RSA-170==
RSA-170 has 170 decimal digits (563 bits) and was first factored on December 29, 2009, by D. Bonenberger and M. Krone from [[Fachhochschule Braunschweig/Wolfenbüttel]].<ref>D. Bonenberger and M. Krone, [http://public.rz.fh-wolfenbuettel.de/~kronema/pdf/rsa170.pdf RSA-170] {{webarchive|url=https://web.archive.org/web/20110719004557/http://public.rz.fh-wolfenbuettel.de/~kronema/pdf/rsa170.pdf |date=2011-07-19}}  Retrieved on 2010-03-08.</ref> An independent factorization was completed by S. A. Danilov and I. A. Popovyan two days later.<ref>{{cite journal |title=Factorization of RSA-180 |first1=S. A. |last1=Danilov |first2=I. A. |last2=Popovyan |journal=Cryptology ePrint Archive |date=9 May 2010 |url=https://eprint.iacr.org/2010/270.pdf}}</ref>

The value and factorization are as follows:

 RSA-170 = 26062623684139844921529879266674432197085925380486406416164785191859999628542069361450283931914514618683512198164805919882053057222974116478065095809832377336510711545759

 RSA-170 = 3586420730428501486799804587268520423291459681059978161140231860633948450858
           040593963
         × 7267029064107019078863797763923946264136137803856996670313708936002281582249
           587494493

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