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My First GNFS factorization

  • Writer: 4 Websites
    4 Websites
  • Apr 24, 2021
  • 1 min read

Updated: May 16, 2021

Just as a test, I factored the RSA-100 using GNFS. I used the program GGNFS.


1min 30secs=Polynomial Selection

Resulting polynomials: g(x)=17373459690773-1486274917912119805015523x,

f(x)=14175976462260376107850436700-11578483843110807572817x-9011290343227090x^2+2217037424x^3+312x^4


38min 11secs=Finding Relations

4220645 relations found


2min 49secs=Filtering


2min 39secs=Linear Algebra

Matrix size: 214442*214671


31secs=Square Root

Initial square root was modulo 396264653


Result:

37975227936943673922808872755445627854565536638199*

40094690950920881030683735292761468389214899724061


Detailed info of the factorization can be found in the attached file.


 
 
 

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