Write a function called primes that takes two positive integ

Write a function called primes that takes two positive integers m and n as input arguments, and returns vector containing all the prime numbers between m and n. If m > n, then an empty vector is returned. (A number is called a prime number if it is only divisible by 1 and by itself.) The function will be invoked as follows: vec = primes(m, n); Following is an example of correct function behavior: >> n_vec = primes(10, 20) n_vec = 11 13 17 19 >> n_vec = primes(20, 50) n_vec = 23 29 31 37 41 43 47 Do not use MATLAB\'s built-in function isprime.

Solution

Code:

isPrime.m file

function val = isPrime(n)
factors = 0;
for i=1:n
if(eq(rem(n,i),0))
factors = factors + 1;
end
end
if(eq(factors,2))
val = 1;
else
val = 0;
end
end   

primes.m file

function vec = primes(m,n)
vec = [];
for i=m:n
if eq(isPrime(i),1)
vec(end+1) = i;
end
end
end

test.m file

vec1 = primes(10,20)
vec2 = primes(20,50)
vec3 = primes(30,70)

Output:

vec1 =

11 13 17 19

vec2 =

23 29 31 37 41 43 47

vec3 =

31 37 41 43 47 53 59 61 67