The natives of Greece, Cyprus, and Turkey all claim it as their own. Possibly they do so because of sex. That is something about which people are often possessive.
Lukum was introduced to the west in the 19th century under the name Turkish Delight. The actual name for the sweet is rahat lukum. Lukum means morsel, rahat means peace or contentment, so the translation is a 'morsel of contentment'.
The Turkish name may actually derive from Arabic: راحة الحلقم rahat al-hulkum: contentment of the gullet.
Please note that the name does not refer to sex in either language.
[Applets & Cotlets, by Liberty Orchards, is an offshoot of this type of sweet.]
2 cups sugar.
4 tablespoons cornstarch.
1 cup water.
1/2 teaspoon cream of tartar.
2 tablespoon rosewater (available at Middle Eastern stores).
1/2 cup chopped pistachios, walnuts, or almonds.
Confectioner's sugar for dusting.
Mix sugar, cornstarch and cream of tartar with the water and boil for five minutes, stirring the while. Remove from heat and add rosewater and chopped nuts. Apply a little cooking oil to a rectangular pyrex dish (or use non-stick cooking spray) and pour in mixture to a depth of an inch. When cool, cut into rectangles and roll each piece in powdered sugar.
Store at room temperature in airtight container.
Fruit juice may be used in lieu of plain water - strained orange juice or clear apple juice is excellent, and a lemon may be squeezed in for tanginess. Food colouring as deemed appropriate can be added, and some people roll it in coconut shreds or crushed nuts.
Note that it can also be made with orange essence, or even orange blossom water (moit ez zaher), in lieu of the rosewater (moit el ward). Rosewater is traditional, but not essential.
I doubt that the rosewater is the secret ingredient that makes it tonifying to the masculine gelatinous parts, but feel free to examine the issue if you wish and brief the rest of us on what you conclude - we are fascinated by your gelatinous parts.