Task 1: Deriving the Private Key Let p, q, and e be three prime numbers. Let n = p*q. We will use (e, n) as the public key. Please calculate the private key d. The hexadecimal values of p, q, and e are listed in the following. It should be noted that although p and q used in this task are quite large numbers, they are not large enough to be secure. We intentionally make them small for the sake of simplicity. In practice, these numbers should be at least 512 bits long (the one used here are only 128 bits). p = F7E75FDC469067FFDC4E847C51F452DF q = E85CED54AF57E53E092113E62F436F4F e = 0D88C3

Note: Please note that i should be able to demonstrate it on Virtual machine(ubantu), I prefer C.