[Danger of common factors] Consider the following RSA moduli N1 and N2, which share a common factor: N1-12840594999529106189303278079919525042609799890233379088534251393902346096951 092123529428604999446885647394855572979697839 N2-23179661908221029335750989684819173637513602602562657114133417395714344523230 319234878495467890943388000745872427497976131 Fancla
[Danger of common factors] Consider the following RSA moduli N1 and N2, which share a common factor: N1-12840594999529106189303278079919525042609799890233379088534251393902346096951 092123529428604999446885647394855572979697839 N2-23179661908221029335750989684819173637513602602562657114133417395714344523230 319234878495467890943388000745872427497976131 Fancla
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
10
![[Danger of common factors] Consider the following RSA moduli N1 and N2,
which share a common factor:
N1=12840594999529106189303278079919525042609799890233379088534251393902346096951
092123529428604999446885647394855572979697839
N2-23179661908221029335750989684819173637513602602562657114133417395714344523230
319234878495467890943388000745872427497976131
Task: Factor them. Explain your computation.
Tips: You need to find primes p, q₁ and 9₂, such that N1 = p-q₁ and N2 = p-q₂-
Note that Python natively supports computation on large integers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F691333be-3545-455e-8721-647a2c8c4707%2F00766897-8763-401c-b442-9e99f0c39486%2Fvfi5y6k_processed.png&w=3840&q=75)
Transcribed Image Text:[Danger of common factors] Consider the following RSA moduli N1 and N2,
which share a common factor:
N1=12840594999529106189303278079919525042609799890233379088534251393902346096951
092123529428604999446885647394855572979697839
N2-23179661908221029335750989684819173637513602602562657114133417395714344523230
319234878495467890943388000745872427497976131
Task: Factor them. Explain your computation.
Tips: You need to find primes p, q₁ and 9₂, such that N1 = p-q₁ and N2 = p-q₂-
Note that Python natively supports computation on large integers.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education