Let p₁ =11, p₂ =17, p₃ =23, m=p₁p₂p₃ =4301. Then (m)= 3520. Bob sends (e,m) = (7,4301) to Alice. Alice has a message w < 4301 that she encrypts as

w₇ c = 3328 (modm).

(i) Help Bob find the decrypting exponent by solving 7d 1 (mod (m)). Then compute 3328^d (mod 4301) as follows: (ii) Find e₁, e₂ and e₃ satisfying

e₁ =1723t₁ 1 (mod11)

e₂ =1123t₂ 1 (mod17)

e₃ =1117t₃ 1 (mod23).

(iii) Find 3328^d (mod 11), (mod 17) and (mod 23).

(iv) Then find Alices message w.