Where is euler theorem used




















But these numbers are much less common than primes. Actually computing a p would be impossible. A few days ago I wrote about the fifth root party trick. If someone raises a two-digit number to the fifth power, you can quickly tell what the number was.

Part of what makes the trick work is that in base 10, any number n and its fifth power end in the same digit. For example, you could use 9th powers in base Search for two enormous prime numbers p and q [4]. So where does Euler come in? Someone who has your public key e and wants to send you a message m computes. JavaMan JavaMan Sign up or log in Sign up using Google.

Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. Upcoming Events. Featured on Meta. Now live: A fully responsive profile. The unofficial elections nomination post. Linked 1. Related 6. Hot Network Questions. Question feed. Part of what makes the trick work is that in base 10, any number n and its fifth power end in the same digit. For example, you could use ninth powers in base This is only if a is relatively prime to m.

Search for two enormous prime numbers p and q [3]. So where does Euler come in? Someone who has your public key e and wants to send you a message m computes. Now, because you know d , you can take the encrypted message m e and compute.

But then after a while it might bother you. See here. In practice, RSA encryption is used to send keys for non-public key symmetric encryption methods because these methods are more computationally efficient.

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