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Place the potatoes and 1 tablespoon of salt in a large pot / dutch oven. Fill with enough water to cover the potatoes by 1-inch. Heat over high-heat until the water comes to a boil, then reduce heat to medium-medium-high in order to maintain a low boil. Cook until the potatoes are soft and fork-tender, about 15-20 minutes.
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While the potatoes are cooking, preheat the oven to 425F. Lightly coat a large rimmed baking sheet (or two if needed) evenly with 1 tablespoon oil. Set aside.
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Once the potatoes are soft, carefully transfer the potatoes to a strainer and drain and let them cool for about 5 minutes, or until cool enough to handle.
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Spread the potatoes out evenly onto the prepared baking sheet. Use the bottom of a glass with a flat bottom to gently press down on the potatoes until smashed, being careful not to press too hard.
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Drizzle the smashed potatoes with the melted butter. Season generously with salt and black pepper then sprinkle with garlic powder, paprika, thyme and parmesan.
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Bake in the preheated oven until the potatoes are golden on the edges, about 25 minutes.
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While the potatoes are baking, make the dipping sauce by combining the yogurt, mayonnaise, cilantro, jalapeno, garlic and lime juice in a bowl of food processor or a small blender. Season with salt and black pepper to taste. Blend until smooth and adjust seasonings to taste. Chill until ready to serve.
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Once the potatoes are crispy and golden, transfer to a large bowl / serving platter / plate and garnish with some chopped fresh parsley. Serve and dunk with dipping sauce on the side and / or dizzle a little bit on top of the potatoes.