Place potatoes into a large pot and cover with cold water. Add about 1 1/4 teaspoon salt and bring to a boil over high heat. Reduce heat to medium and simmer until fork-tender, about 20 minutes. Drain well.

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Heat cream and butter together in a saucepan over medium-low heat, 3 to 5 minutes. Stir in blue cheese until smooth. Add sauce to potatoes and mash together until smooth. Season with remaining salt and pepper. Garnish with parsley.