Newb question: Modifying Arrays

I have somewhat of a puzzle. Knowing C++ for a grand total of 3 days, I'm trying to make a console program that'll calculate the value of prime integers from 1 to 100. Unfortunately, I'm curious as to if you can add a value to an array when a program is running.

For example: loop here has produced a result

Code:

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{Loop here}
-Finished result of previous loop-

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However, while the program is running, is it possible to move the product of the loop into an array, such as the following?

Code:

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-Finished result-  *goes into* -Array one-
*print contents of Array 1*

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Sorry for my lack of formal code. I'm mostly wondering whether the logic I presented is possible.

An array's size is fixed at compile time. However, you can create an array that's large enough for your needs, and then only use a portion of it, with another variable to keep track of how many elements are in use. At run time, you can then expand this used portion of the array by incrementing this second variable, thus giving the effect of adding an element to the array.

Alternatively, you can use dynamically allocated arrays, but that may be beyond your scope of learning at the moment. A generally even better option than dynamically allocated arrays is to use a container such as std::vector.