Enigma 340: Unmagic cross-figure
15 April 2016
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From New Scientist #1489, 2nd January 1986 [link]
Your task this week is to find the six three-figure numbers making up this cross-figure:
1. When added to 4 across this give an odd total.
4. My middle digit equals the number of “1”s used altogether in the 3×3 answer.
5. A perfect cube.
2. A factor of the difference between 3 down and 1 down.
3. A perfect square.
Although you have not been given the clue for 1 down, I can tell you that the 3×3 answer is an unmagic square. In other words, the sums of the digits in each row of three, each column of three and each diagonal of three are all different.
Find the 3×3 answer.