Enigma 1640: Four-cast
11 December 2011
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From New Scientist #2806, 2nd April 2011 [link]
Fill each of the 16 boxes with a digit so that the same four consecutive digits appear in each row and in each column. In this way you can then read four 4-figure numbers across the rows and four 4-figure numbers down the columns. You must choose your digits so all eight 4-figure numbers are different and none of them has any odd factor between 2 and 20.
What are the lowest and the highest of your eight 4-figure numbers?