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Count to 1000 and back down again!

The sum of the numbers of Canadian provinces & territories, American states, territories, and commonwealths, and Mexican states & federal districts.
(There were a couple numbers said while I was making this post, so that's why I had to edit this.)
 
The sum of the product of first three positive real numbers raised to their own powers (i.e., 11 * 22 * 33) and the arithmetic mean of the first three positive real numbers.
 
Because I'm lazy:
The sum of the product of first three positive real numbers raised to their own powers (i.e., 11 * 22 * 33) and the arithmetic mean of the first three positive real numbers [color=090]raised to its own power[/color].
 
If the first prime number is x, the x-th prime number is y, the y-th prime number is z, and the z-th prime number is n, find n2.
 
If the first prime number is x, the x-th prime number is y, the y-th prime number is z, and the z-th prime number is n, find zy.
(The y in "z to the y" is supposed to be superscript, by the way, though it's hard to see.)
 
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