Is there a way to code a for loop so that it doesn't increment through a sequence?

You could use an array to give the numbers you want like this

int[] loop = new int[] {1,2,4,5,7};
foreach(int i in loop)
    Console.WriteLine(i);

Or do it inline which is not as clean when the list of values grows in my opinion

foreach(int i in new int[] {1,2,4,5,7})
    Console.WriteLine(i);

foreach (int i in new[] { 1, 2, 4, 5, 7 })
{

}

Basically the answers here are correct, just because you asked explicitly for a for instead of a foreach loop:

int[] loop = new int[] { 1, 2, 4, 5, 7 };
for (int i = 0; i< loop.Length; i++)
{
    Console.WriteLine(loop[i]);
}

https://dotnetfiddle.net/c5yjPe

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