aWrite a pseudo code for an algorithm that finds all prime n

a)Write a pseudo code for an algorithm that finds all prime numbers that are less than or equal to n.

b)Analyze the worst-case time complexity of your algorithm in (1) by using Big-O notation. Show steps.

Solution

Pseudo-Code:

Get Num

for i= 2 to NUM

for j=2 to i-1

if i % j = 0

break

end if

if j = i then Print i //(it is prime)

end if

end for

end for

B. The worst case is when the number is too big. we need two loops to acomplish this so the complexity is O(n2) as these are nested loops.

a)Write a pseudo code for an algorithm that finds all prime numbers that are less than or equal to n. b)Analyze the worst-case time complexity of your algorithm

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