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Peel and grate the cooked potatoes.
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Place in a bowl, add the egg and the salt and knead until smooth.
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Add the flour one cup at a time until the dough is less sticky.
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Turn out the dough on a lightly floured surface and knead. Use more flour if the dough is too sticky.
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Roll the dough out and use a glass or a 3" inch in diameter round cutter to create circles.
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Add a teaspoon of plum jam to the middle of each circle, fold in half and seal the edges using a fork.
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Place a layer of paper towels next to the stove.
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Bring a large pot of salted water to a boil.
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Boil the pirohy. They will sink to the bottom and will pop up when they are done.
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Use a skimmer or slotted spoon to remove the pirohy from the boiling water and place on the paper towels to drain. Pat gently with a paper towel to remove excess liquid.
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Transfer to a serving plate and cover with aluminum foil to keep warm.
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In a small skillet, melt the butter. Cook over medium heat stirring until the butter turns brown.
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Pour the butter over the top of the pirohy, then sprinkle with poppy seeds.
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Load the powdered sugar into a small strainer, sprinkle over the top of the pirohys and serve.