Question

In: Computer Science

write a script file that calculated the first n perfect numbers. use the WHILE structure the...

write a script file that calculated the first n perfect numbers. use the WHILE structure the perfect number is a positive integer that is equal to the sum of its multiples for example 6 is a perfect number since it’s multiplied are 1, 2 and 3. 1+2+3=6 the result must be stored in a vector where all calculated perfect numbers appear. you must use the rem command

matlab

Solutions

Expert Solution

% vector containing perfect numbers

perfect_numbers = [];

% read n from user

n = input("Enter n: ");

current=2;

% while loop

while n>0

    is_perfect=true;

    total = 0;

    % loop from 2 to current and compute sum of factors

    for j=1:current-1

        % if j is factor of current

        if rem(current,j)==0

            total = total + j;

        end

    end

    % if total is equal to current number

    if total==current

        % add this number to perfect

        perfect_numbers=[perfect_numbers,current];

        % decrement n

        n = n-1;

    end

    current = current + 1;

end

perfect_numbers

.

Output:

.


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