    Puzzle #60  Used with permission. Copyright © Rainer Typke [www.crossnumber.com] No zeros occur in this puzzle. Across: A: both A across and its digit sum are prime numbers. C: both C across and its reverse are prime numbers. E: the reverse of this prime number is a cubic number. F: while F across equals A across multiplied with C across, the reverse of F across is a prime number. H: A across multiplied with the digit sum of H across. Down: B: there are prime numbers p and q such that B down equals p^q * q^p (that is, p to the power of q multiplied with q to the power of p). C: if you cut out the middle digit of C down, you get the same number as when you divide C down by the digit sum of B down. e.g. the first digit of C down times ten plus the last digit of C down equals C down divided by the digit sum of B down. D: this prime number is the sum of F across and E down. Also, the first two digits of D down form a prime number, and so do the last two digits of D down. E: E down is a multiple of both p and q, the two prime numbers mentioned in the clue for B down. G: a palindrome. View answer    