This is a crossword puzzle without words -- numbers are the
answers instead (a single digit for each square in the grid).
Unlike a crossword puzzle, deductive logic based on a
knowledge of math is needed to work out the answers from
information provided in the clues. A little trial and error
solving may also be necessary. (Bold black lines in the puzzle
grid separate entries in the same way as black squares.)
Additional clue: there are no zeros in the completed grid.
ACROSS
1 The first two digits are a
prime number; the second
two are the next lower prime
number
5 A perfect cube
6 A multiple of the cube root
of 4 DOWN; sum of digits is 6
8 The sum of the first two
digits equals the sum of the
last two digits equals the
middle digit
9 A perfect cube
11 The square of the cube root
of 4 DOWN
12 The product of 10 DOWN
times 6 ACROSS
DOWN
1 A number in which each
digit is one lower than the
preceding digit
2 The sum of the digits is
two-thirds the product of the
digits
3 The product of three primes;
the first 10 larger than
the second;
the second
10 larger than the third
4 A perfect cube
7 All even digits; each
different
9 A perfect cube
10 A prime number
