Preheat the oven to 425 degrees F (220 degrees C).
Combine eggs, pumpkin puree, sweetened condensed milk, and pumpkin pie spice in a large bowl and mix until combined.
Fit pie crust into a 9-inch pie dish; pour pumpkin mixture into the crust.
Place pie on a baking sheet and bake in the preheated oven for 15 minutes. Reduce heat to 350 degrees F (175 degrees C) and bake until filling is set, 35 to 40 minutes.
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