Question: a. Write a program to determine if a positive integer, N, is prime. b. In terms of N, what is the worst-case running time of

a. Write a program to determine if a positive integer, N, is prime.

b. In terms of N, what is the worst-case running time of your program? (You should be able to do this in O(√N).)

c. Let B equal the number of bits in the binary representation of N. What is the value of B?

d. In terms of B, what is the worst-case running time of your program?

e. Compare the running times to determine if a 20-bit number and a 40-bit number are prime.

f. Is it more reasonable to give the running time in terms of N or B? Why?

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