Brainteaser 1783: Nine, eight, seven, …

From The Sunday Times, 17th November 1996 [link]

If you place a digit in each of the above boxes then you can read some numbers horizontally (left to right), vertically (top to bottom) and diagonally (top left to bottom right and bottom left to top right).

Your task is to place:

  • nine digits, one in each box, so that you can then read …
  • eight three-figure numbers, at least …
  • seven of which are different primes, and so that at least …
  • six of the eight are palindromic, and so that at least …
  • five of the digits in the bottom two rows are odd.

Fill in the boxes.

This puzzle was included in the book Brainteasers (2002, edited by Victor Bryant) under the title “Nine, Eight, Seven, Six, …“. The puzzle text above is taken from the book. In the original puzzle the final condition (“five …”) was not included, and the required answer was just the value of the digit in the central box.

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