Where is the issue in my "while" statement?

I want to evaluate the first integer evenly divisible by 3 and 5 using a Matlab code. My attempt is the following:

n=1;
      while mod(n,5)~=0 && mod(n,3)~=0
          n=n+1;
      end
  n

I'm new to Matlab and wondering where the issue here is. The code returns n=3 for some reason. I also want to extend this to find the first number evenly divisible by 1-10, for which I wrote the following while loop which also did not return the expected value. Where is my error?

n=1;
  while mod(n,1:10)~=0
      n=n+1;
  end
n

Thank you.

[Geo]

I managed to fix the first one; I used "and" but it should've been "or" instead. I'm still stuck on the second.

[Geo]

Revision also not working as expected:

   n=1;
    for k=1:10
        while mod(n,k)~=0
            n=n+1;
        end
    end
    n

[Walter Roberson]

found_solution = false;
n = 0;
while ~found_solution
  n = n + 1;
  found_solution = true;
  for k = 1 : 10
    if mod(n,k) ~= 0
      found_solution = false;
      break;
    end
  end
end
n

Answer 1

[the cyclist]

In your second case, you are doing

mod(1,1)

then

mod(2,2)

then

 mod(3,3)

and so on, because you are always incrementing n right along with k. Those mod functions are always equal to zero, so they always satisfy the while condition, so you get to n = 10.

Answer 2

[Teja Muppirala]

You were on the right track. This gives 2520:

n=1;
while any( mod(n,1:10)~=0 )
        n=n+1;
end
    n

When your conditional has more than one element, all of them must be true for it to evaluate as true. This will return 'B' and 'C'.

if [1 1 1 0]
  disp('A')
else
  disp('B')
end

if [1 1 1 1]
  disp('C')
else
  disp('D')
end