All numbers should be given as decimal $($base $10).$ Generate a public$/$private key pair for the RSA cryptosystem. Do this by creating:

$1.$ A $50-$bit prime p and a $50-$bit prime q

$2.$ The modulus n $($should be about $100$ bits$)$ and the value of $($n$)$

$3.$ An encryption key of your choice $($it must be a valid choice for an encryption exponent$)$ and the corresponding decryption exponent d$.$

$4.$ Provide values p$,$ q$,$ n$,$ $,$ and decryption exponent d$.$