What is the regex for "Any positive integer, excluding 0"

Try this:

^[1-9]\d*$

...and some padding to exceed 30 character SO answer limit :-).

Here is Demo


Sorry to come in late but the OP wants to allow 076 but probably does NOT want to allow 0000000000.

So in this case we want a string of one or more digits containing at least one non-zero. That is

^[0-9]*[1-9][0-9]*$

You might try a negative lookahead assertion:

^(?!0+$)\d+$