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A
 1, 2, 3, 4, 5, 6, 7, 8, 9
B
 1, 2, 3, 4, 5, 6, 7, 8, 9
C
 1, 2, 3, 4, 5, 6, 7, 8, 9
D
 1, 2, 3, 4, 5, 6, 7, 8, 9
E
 1, 2, 3, 4, 5, 6, 7, 8, 9
F
 1, 2, 3, 4, 5, 6, 7, 8, 9

 1, 2, 3, 4, 5, 6, 7, 8, 9

 1, 2, 3, 4, 5, 6, 7, 8, 9
G
 1, 2, 3, 4, 5, 6, 7, 8, 9
H
 1, 2, 3, 4, 5, 6, 7, 8, 9

 1, 2, 3, 4, 5, 6, 7, 8, 9

 1, 2, 3, 4, 5, 6, 7, 8, 9

 1, 2, 3, 4, 5, 6, 7, 8, 9
I
 1, 2, 3, 4, 5, 6, 7, 8, 9

 1, 2, 3, 4, 5, 6, 7, 8, 9

 1, 2, 3, 4, 5, 6, 7, 8, 9

 1, 2, 3, 4, 5, 6, 7, 8, 9
J
 1, 2, 3, 4, 5, 6, 7, 8, 9

 1, 2, 3, 4, 5, 6, 7, 8, 9

 1, 2, 3, 4, 5, 6, 7, 8, 9

 1, 2, 3, 4, 5, 6, 7, 8, 9

Bach

Copyright (C) 2007 by Rainer Typke.
This puzzle contains no zero.

Across
A: the reverse of E down.
F: The reverse of F across minus C down equals half the digit product of D down.
G: A palindrome.
I: the opus ultimum, written in Leipzig
J: the reverse of a prime number

Down
B: I across multiplied with the reverse of F across
C: A square number and palindrome
D: This palindrome is a multiple of C down
E: G across minus J across
H: A prime number.