there is no real satistics to a sudoku so unluky
the are many ways to do a sudoku
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It doesn't look as if Euler was involved with the invention of Sudoku. http://en.wikipedia.org/wiki/Sudoku#History
No, you can do Sudoku with letters or shapes sometimes. You don't actually have to add or subtract or do math calculations when playing it.
Sudoku
I am assuming you are referring to a normal 3x3 sudoku grid, where you can only use the numbers 1-9 once in the grid, and by prime number you mean the 3digit number across and down the grid must be prime? For a number to be prime, it must end in 1, 3, 7 or 9. There are 5 places on the Sudoku grid for a number to finish and as you can only use a number once in sudoku you have one place left where the number can not be prime. This means the most you can have is 5 prime numbers.
A sudoku box cannot contain 5 prime numbers, so it is obviously an error. And once you accept that the numbers in the box are simply nonsense numbers, anything is possible.