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Preheat oven to 350°F.
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Bring cream to simmer in heavy large saucepan over medium heat.
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Using electric mixer, beat yolks and sugar in large bowl until pale yellow and slowly dissolving ribbon forms when beaters are lifted.
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Gradually beat in hot cream.
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Stir in vanilla.
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Pour custard into ten 6-ounce custard cups. Arrange cups in large baking pan. Add enough warm water to pan to come 1/2" up sides of cups.
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Bake until centers are just set, about 45 minutes.
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Remove cups from water.
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Cover and refrigerate until well chilled.
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(Can be prepared up to one day ahead.).
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Preheat broiler.
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Press enough brown sugar through sieve over custards to lightly cover.
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Broil in batches until sugar caramelizes, about one minute.
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Cover and refrigerate until well chilled, at least one, and up to, two hours.