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Scald cream in small saucepan over medium-low heat; remove from heat.
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Whisk yolks in top of double-boiler; stir in granulated sugar and vanilla.
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Stir in scalded cream gradually.
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When thoroughly blended, cook, stirring constantly, over very hot (not boiling) water, until mixture coats back of metal spoon, about 20 minutes.
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Strain custard through fine mesh sieve into eight 3-ounce custard cups, dividing evenly.
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Freeze several hours or overnight.
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Heat broiler.
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Just before serving, put brown sugar in fine mesh sieve and sieve over top of custard cups, stirring with a spoon to force sugar through holes.
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Arrange cups on baking sheet; broil, about 3 inches from heat source, just until tops are glazed, 1-2 minutes.
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Custards will be hot and soft on top and cold and firm on bottom (ideally).
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Serve immediately.