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1
Peel the potatoes, and boil them until tender.
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2
Drain, and refrigerate overnight.
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3
Mash the potatoes well, or pass them through a ricer until smooth.
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4
Spread the potatoes on a flat surface, and make a well in the middle.
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5
In a bowl, beat the egg yolks and pour them into the center of the well.
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6
Add the olive oil and salt and pepper.
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7
Stir slowly.
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8
While mixing, knead in the flour and the potatoes a little at a time.
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9
The dough should be moist but not sticky.
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10
On a floured work surface take one-fourth of the dough, and knead until it feels smooth (about 2 to 3 minutes).
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11
Roll the dough into a log approximately 1 inch thick.
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12
Cut the log into 1/2-inch-long pieces.
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13
Dust the pieces with flour.
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14
Repeat with the rest of the dough.
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15
To give the dough the traditional gnocchi shape, place a piece of dough over the side of a cheese grater that has three or four long smile-shaped holes.
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16
Press the dough down over the hole, and gently roll it out to give it a shell shape.
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17
(This takes a few tries to get the technique.)
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18
Repeat with all the dough.
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19
Bring a large pot of lightly salted water to a boil.
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20
Add the gnocchi all at once, and stir gently so they do not stick to the pot.
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21
When they are done they will float to the top.
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22
With a perforated spoon, remove them and serve immediately, or drop them into ice water until needed, then briefly reheat in boiling water.