04 Jan '08 17:031 edit

I give a solved sudoku as an example:

6 3 2 1 5 7 4 9 8

1 7 4 9 3 8 5 2 6

5 8 9 4 2 6 1 3 7

3 6 1 8 7 9 2 4 5

8 2 7 5 4 1 9 6 3

9 4 5 2 6 3 7 8 1

4 9 3 7 8 5 6 1 2

7 1 8 6 9 2 3 5 4

2 5 6 3 1 4 8 7 9

One property of this square is that all figures of each horizontal line are different, and all figures of each vertical line are different (and all figures in every sub 3x3 square is different, but this is somewhat beyond my point for now).

Put every line together and read it as a number. (Example: The first horizontal line reads 632 million 157 thousand and 498, or just 632157498). Let's call this a sudoku number as a definition.

For fun I entered an arbitrary sudoku number into my prime identification program (a program that says if a number is a prime or not). The first horizontal soduko number is not a prime (Why?), the second was not a prime either (Why?), the third was not a prime either, but this is harder to see with your eyes only.

I went through all of the soduko numbers and found no primes at all.

A took the soduko numbers and reversed them, and I didn't found any.

My question is - Is there soduko numbers that are primes? Are they so rare that I didn't find any because I didn't search long enough? Please state a certain soduko prime or explain why there isn't any.

6 3 2 1 5 7 4 9 8

1 7 4 9 3 8 5 2 6

5 8 9 4 2 6 1 3 7

3 6 1 8 7 9 2 4 5

8 2 7 5 4 1 9 6 3

9 4 5 2 6 3 7 8 1

4 9 3 7 8 5 6 1 2

7 1 8 6 9 2 3 5 4

2 5 6 3 1 4 8 7 9

One property of this square is that all figures of each horizontal line are different, and all figures of each vertical line are different (and all figures in every sub 3x3 square is different, but this is somewhat beyond my point for now).

Put every line together and read it as a number. (Example: The first horizontal line reads 632 million 157 thousand and 498, or just 632157498). Let's call this a sudoku number as a definition.

For fun I entered an arbitrary sudoku number into my prime identification program (a program that says if a number is a prime or not). The first horizontal soduko number is not a prime (Why?), the second was not a prime either (Why?), the third was not a prime either, but this is harder to see with your eyes only.

I went through all of the soduko numbers and found no primes at all.

A took the soduko numbers and reversed them, and I didn't found any.

My question is - Is there soduko numbers that are primes? Are they so rare that I didn't find any because I didn't search long enough? Please state a certain soduko prime or explain why there isn't any.