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1
Preheat the oven to 300 degrees.
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2
Pour 2 cups sugar into the center of a deep saucepan.
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3
Carefully pour the water around the sugar, trying not to splash any sugar onto the sides of the pan.
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4
Do not stir; gently draw your finger through the center of the sugar twice, making a cross, to moisten it.
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5
Over medium-high heat, bring to a boil without stirring.
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6
Reduce the heat to a fast simmer and cook without stirring until amber-caramel in color, 5 to 10 minutes.
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7
Immediately remove from the heat.
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8
Meanwhile, set a 9-inch cake pan nearby.
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9
When the caramel is cooked, quickly pour into the cake pan and swirl to coat the sides.
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10
Set aside to cool.
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11
In a saucepan, bring the milk and vanilla bean to a boil over medium heat.
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12
Immediately turn off the heat and set aside to infuse.
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13
Meanwhile, in a large bowl, whisk together the eggs, additional egg yolks, and the remaining 1 cup sugar.
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14
Whisk about 1/2 cup of the hot milk into the egg mixture.
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15
Whisk the remaining hot milk into the egg mixture.
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16
Strain the mixture into a pitcher to smooth it and to remove the vanilla.
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17
Pour the mixture into the caramel-lined cake pan and place in a hot water bath.
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Bake in the center of the oven until dry and set in the center, 45 to 50 minutes.
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19
Remove from the water bath and let cool.
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20
Refrigerate at least 4 hours.
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21
(Or refrigerate until ready to serve, up to 24 hours.)
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22
Turn out onto a serving platter.