Let the two primes p = 41 and q = 17 be given as set-up parameters for RSA. 1) Which of the parameters e1 = 32, e2 = 49 is a valid RSA exponent (i. e., is a valid public key, e1 or e2)? Justify your choice. 2) Compute the corresponding private key Kpr = (p, q, d). Use the extended Euclidean algorithm for the inversion and point out every calculation step.

Solution :

It is given in the question that :

Two prime numbers : p = 41

                                    q = 17

Therefore, n = p x q

                     = 41 x 17

                    = 697

Now we know that :

       = 40 x 16

      = 640

a). For the public key

Now the implies

But this is false as the

Therefore the public key will prefer , that is 49.

b). We have to find the private key d. So we know that

Therefore the value of d = 209

c). The encryption of the message M, we will use the relation:

;  here "C" is cipher text

Given M = 26 and we know that and

Therefore,

                     = 468

Thus the cipher text for the plain text 26 is 468.

d). For the decryption of message C,

    (here C = cipher text, M = plain text)

    Given . And the value of d is 209 and n is 697

    Therefore,

Therefore, the plain text for cipher text 513 is 326.

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.