regex - Regular Expression to match only odd or even number

Question

I have a list of textual entries that a user can enter into the database and I need to validate these inputs with Regular Expressions because some of them are complex. One of the fields must have gaps in the numbers (i.e., 10, 12, 14, 16...). My question is, is there a Regex construct that would allow me to only match even or odd digit runs? I know I can pull this value out and do a division check on it, but I was hoping for a pure Regex solution to this if possible.

[Edit]

The solution I ended up using on this was an adaption of JaredPar's because in addition to needing only odd's or evens I also needed to constrain by a range (i.e., all even numbers between 10-40). Below is finished Regex.

^[123][02468]$

Answer 1

Odd Numbers

"^d*[13579]$"

Even Numbers

"^d*[02468]$"

Run of Odds with a , and potential whitespace separator

"$s*(d*[13579]s*,s*)*d*[13579]$"

Run of Evens with a , and potential whitespace separator

"$s*(d*[02468]s*,s*)*d*[02468]$"