RSA Numbers - RSA-130

RSA-130

RSA-130 has 130 decimal digits (430 bits), and was factored on April 10, 1996 by a team led by Arjen K. Lenstra and composed of Jim Cowie, Marije Elkenbracht-Huizing, Wojtek Furmanski, Peter L. Montgomery, Damian Weber and Joerg Zayer.

The value and factorization is as follows:

RSA-130 = 18070820886874048059516561644059055662781025167694013491701270214 50056662540244048387341127590812303371781887966563182013214880557 RSA-130 = 39685999459597454290161126162883786067576449112810064832555157243 × 45534498646735972188403686897274408864356301263205069600999044599

The factorization was found using the Number Field Sieve algorithm and the polynomial

5748302248738405200 x5 + 9882261917482286102 x4 - 13392499389128176685 x3 + 16875252458877684989 x2 + 3759900174855208738 x1 - 46769930553931905995

which has a root of 12574411168418005980468 modulo RSA-130.

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