 
Copyright © 2002 by Rainer Typke
No zeros occur in this puzzle.
Statements which you could theoretically ignore and still find the solution are marked with (*).
Across: A: B down multiplied with H across
D: A across + F down
E: a prime number
G: a cubic number
H: (*) Take E across, subtract one from each digit, and the result is H across.
I: The first digit equals the digit sum of A across, while the second digit equals the digit sum of F down.
K: A across multiplied with the product of all digits of H across
M: The greatest common divisor of M across and L down is greater than H across.
Down: A: (*) Has the same digit sum as G across
B: The digit sum of H across multiplied with H across
C: A palindrome
D: G across squared
F: This square number equals H across multiplied with G across
J: The reverse of L down
K: A prime number
L: E across multiplied with the digit sum of H across
