Preheat oven to 350°. Butter the jelly roll pan (bottom and all the way up the sides), and place a piece of parchment paper on the bottom.
In a large bowl whisk the two eggs and the two egg yolks together with the sugar until it thickens and gets paler in color, which should take about 5-7 minutes. I use a handheld mixer, but you can also use a stand mixer.
In a separate bowl, whip the remaining egg whites until they form soft peaks, about 3-4 minutes. A good trick to see if your whites are done is tipping the bowl upside down. They shouldn't move at all if they're done!
Switching to a spatula, fold in the egg whites to the egg/sugar bowl and fold until combined.
Add in the sifted flour (it's important to sift it so that you don't get big flour bubbles in the batter), and gently fold it in using a spatula until just combined.
Spread the cake batter on top and smooth it out with a knife or an offset spatula to ensure an even surface. Bake for 15 minutes until slightly golden in color. One way to check if it's done is to gently press down on the cake with your finger-- it should spring right back up when done.
Remove from oven and let cool for 5 minutes. Then, cover the top with a kitchen towel and place a cooling rack over it. Using oven mitts (careful! the tray will be very hot!), gently flip the tray over so that the cooling rack is on the bottom. Remove the pan and gently peel off the parchment paper. Let sit until completely cool.