GeekDad Puzzle of the Week: Cross Number Prime – Solution

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ACROSS
1. Produce of two primes, each less than 1/3 of 4 across
4. Multiple of sum of digits of 7 across.
6. Digits of 8 down rearranged.
7. Multiple of 11 across.
9. A perfect cube.
11. When reversed this is 4 times a prime number.
13. Multiple of the sum of its digits.
14. A perfect cube.

DOWN
1. Multiple of 1/2 of 5 down.
2. 4 times a prime number.
3. The same when reversed.
5. The square root of 1/2 of 14 across.
8. A multiple of a factor of 11 across reversed.
9. A multiple of the square root of 8 down.
10. A prime number.
12. 8 times the sum of its digits.

Solution

Before you find answers to the clues, find the one with the unique solution. The only clue with a unique solution is 12 down. The answer can only be 72.

The only three-figure cube ending in 2 is 8^3; 14 across is 512.

11 across is 67 (4 x 19 = 76)

Since 8 down ends in a 1, the factor of 76 must be odd (19); 8 down is 361.

Fill in the rest as follows:

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