$(1$ point$)$ In this problem we will crack RSA. Suppose the parameters for an instance of the RSA cryptosystem are $N=4661,e=5.$

We have obtained some ciphertext $y=1046.$

a$)$ Factor $N=4661$ into its constituent primes $p$ and $q.$

min$(p,q)=$

max$(p,q)=$

b$)$ Compute $(N).$

$(4661)=$

c$)$ Compute $d,$ the decryption exponent.

$d=$

d$)$ Decrypt $y=1046$ to find the plaintext.

$x=$