Copyright � 2002 by Rainer Typke
No zeros occur in this puzzle.
Across:
A: None of the digits in A across occurs twice in A across.
G: F' across / T down
H: The reverse of F down
J: This prime number has the same digit sum as U down.
K: All digits of K across are different and a multiple of 3. Also, K across equals P down multiplied with the digit sum of N across.
M: M across equals J across - 1, and the reverse of M across equals U down - 1.
N: A palindrome
P: N across multiplied with the digit sum of Q across
Q: This palindrome and prime number is a divisor of A down.
R: A prime number whose reverse is also a prime number
S: A square number
V: A palindrome and prime number
X: A prime number
Y: This palindrome equals N across multiplied with the square root of U down.
A': Z down divided by the digit product of A' across is a square number.
B': This square number has the same digit sum as W down.
D': A prime number
F': F' across equals the sum of G down and A across, and F' across is a multiple of T down.
Down:
A: A palindrome and cubic number
B: A prime number
C: P across multiplied with the digit sum of N across
D: A palindrome and prime number
E: The reverse of M across
F: Twice I down divided by D' across. Also, the digit sum of F down equals the reverse of R across.
G: This square number equals S across multiplied with B' across.
I: I down has the same digit sum as F' across.
L: The reverse of L down is prime, and L down equals the digit product of A' across.
O: The digit product of O down is a square number.
P: R across multiplied with the digit sum of N across.
T: T down divided by X across equals the reverse of U down.
U: A square number
W: W down divided by O down equals A' across.
Y: Every digit except the first one equals the previous digit plus one.
Z: Z down equals 2 to the power of the digit sum of S across.
C': A prime number
E': This prime number is a divisor of I down.