In a medium mixing bowl or a large liquid measuring cup, beat together eggs, milk, sugar and vanilla until well mixed.
In a separate large mixing bowl, whisk together flour, salt, baking powder, and ground cardamom until combined.
Pour the wet ingredients into a well in the center of the flour mixture. Mix well- I usually use a whisk for this. Mix until combined, leaving some small streaks of flour is fine, but make sure all the big flour clumps get mixed in.
Let the batter rest on the counter for 30 minutes.
Grab a baking pan: this recipe fits well in a 9x13 pan
Towards the end of the resting time, place your butter in your baking pan, and your baking pan in the oven. Preheat the oven to 450 degrees Farenheit, leaving the pan in the oven until the butter is hot. Keep an eye on it: You do not want your butter to burn! When you remove the pan from the oven, tip it so that the butter covers the bottom of the pan.
After 30 minutes, when the oven is preheated and the butter is hot, pour the batter into the prepared pan.
Bake 15-20 minutes, until the edges are puffy and browned and pannukakku is cooked through. Bake time will vary based on which pan you choose.
Pannukakku will deflate substantially after removing from the oven. Slice, serve and enjoy!