Unlocking RSA Security: A Key Fact About Factoring in Abstract Algebra π
Discover a crucial algebraic property that relates to factoring integers and how it impacts the RSA cryptography algorithm. Perfect for math enthusiasts and cybersecurity buffs!

Henry Adams
171 views β’ Mar 14, 2021

About this video
Abstract Algebra 44: A factoring fact related to the RSA cryptography algorithm
Abstract: If a is an integer that is at least 2, then a-1 divides evenly into a^n-1 for any positive integer n. We give an explanation of this factoring fact. We will later use this fact when giving a partial explanation of why the RSA public key cryptography system works.
This video accompanies the class "Introduction to Abstract Algebra" at Colorado State University:
https://www.math.colostate.edu/~adams/teaching/math366spr2021/
Abstract: If a is an integer that is at least 2, then a-1 divides evenly into a^n-1 for any positive integer n. We give an explanation of this factoring fact. We will later use this fact when giving a partial explanation of why the RSA public key cryptography system works.
This video accompanies the class "Introduction to Abstract Algebra" at Colorado State University:
https://www.math.colostate.edu/~adams/teaching/math366spr2021/
Video Information
Views
171
Likes
4
Duration
5:23
Published
Mar 14, 2021
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