The Persian War was 499-449 BCE. It comprised several phases, not the erroneous idea peddled by some today.
It began with the Ionian Revolt in western Asia Minor 499-493 BCE.
This was followed by the Persian punitive expedition against Eretria and Athens 490 BCE.
Then followed the invasion of mainland Greece 480-479 BCE.
Then followed sporadic battles with the Delian League 478-450 BCE.
It was endedby the Peace of Callias 449 BCE.
Where in this are the First, Second etc Persian Wars?
First Dacian War happened in 101.
First Carlist War happened in 1833.
First Taranaki War happened in 1861.
First Matabele War happened in 1893.
First Celtiberian War happened in -181.
First Margrave War happened in 1449.
First War of Kappel happened in 1529.
First Barons' War happened in 1215.
First Macedonian War happened in -214.
First Messenian War happened in -743.
First Rohilla War happened in 1773.
First Mithridatic War happened in -89.