Question: For this problem you may use a computer. Find two random integers, each of length at least 1 0 digits - call them a and

For this problem you may use a computer. Find two random integers, each of length at least 10 digits- call them a and b. Let p and q be the smallest primes larger than a and b, respectively, and let m = p q. Find a 10-digit integer e with GCD(e,(p-1)(q-1))=1.Wewillencryptamessagexbycomputingy=xe modm.Deter- mine the encryption when x =2, when x =3, and when x =6. What is the relationship among these three? How will you decrypt messages? In particular, if y =3, determine the original message x.

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