Pairwise coprime numbers in a 3 x 3 board












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Find all the ways of placing all the digits 1 to 9 in the cells of a 3 x 3 board in such a manner that the seven three-digit numbers that can be read horizontally (from left to right), vertically (top to bottom), and diagonally (top left to bottom right) are pairwise relatively prime (i.e. they hay no common divisor greater than 1), but none is a prime itself.









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    Find all the ways of placing all the digits 1 to 9 in the cells of a 3 x 3 board in such a manner that the seven three-digit numbers that can be read horizontally (from left to right), vertically (top to bottom), and diagonally (top left to bottom right) are pairwise relatively prime (i.e. they hay no common divisor greater than 1), but none is a prime itself.









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      Find all the ways of placing all the digits 1 to 9 in the cells of a 3 x 3 board in such a manner that the seven three-digit numbers that can be read horizontally (from left to right), vertically (top to bottom), and diagonally (top left to bottom right) are pairwise relatively prime (i.e. they hay no common divisor greater than 1), but none is a prime itself.









      share









      $endgroup$




      Find all the ways of placing all the digits 1 to 9 in the cells of a 3 x 3 board in such a manner that the seven three-digit numbers that can be read horizontally (from left to right), vertically (top to bottom), and diagonally (top left to bottom right) are pairwise relatively prime (i.e. they hay no common divisor greater than 1), but none is a prime itself.







      computer-puzzle arithmetic





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      asked 42 secs ago









      Bernardo Recamán SantosBernardo Recamán Santos

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      2,5261345






















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