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RSA encryption in the real world?

  1. May 19, 2015 #1
    1. The problem statement, all variables and given/known data
    It is about an exercise called "RSA encryption". The problem statement was :
    Let p,q be distinct prime numbers so that ##n = pq##. If c,d are two integers so that the Euler totient function of n, ##\phi(n)##, divides ##cd - 1##, show that for any ##t\in\mathbb{Z}##, ##n## divides ##t^{cd} - t ##.

    I have found the solution but I don't understand how it works in the real world although it is the most interesting part of the exercise. Can you give a simple, real world example ?


    2. Relevant equations


    3. The attempt at a solution
     
  2. jcsd
  3. May 19, 2015 #2

    Zondrina

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    Homework Helper

    RSA is also known as public key cryptography. The RSA algorithm allows one to create a private key and a public key. These keys can be used to encrypt and decrypt messages between different parties.

    The public and private keys are really just prime numbers produced by the algorithm; Although both of these numbers should be kept a secret by the creator and any associates.
     
  4. May 20, 2015 #3
    hmmm... but how does it work ? Say you want to send me the crypted message "Hello", how do we do ?
     
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