Use one of the websites supporting modular arithmetic to determine the private exponent d for the case where p = 7437887, q = 3023981 and e = 65537. Use this to encrypt the message "Hello". Explain your steps and show how to decrypt this message. How would you encrypt a longer message?
This is all the information provided to us by our professor. I have scoured the net for utilities to caculate a private key exponent for large integers given p,q and e and have failed to find one. With smaller numbers it appears possible. I think you are right though. It does not appear possible with the information provided. I will assume an answer to enable me to complete the other parts of the question.