Is it possibe to write down the numbers in some order (one after an other), such that the sum of any two adjacent numbers is a prime number?
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Here is an example: 1 , 1 0 0 , 3 , 9 8 , … , 9 7 , 4 , 9 9 , 2 Now the sum of any two adjacent numbers is ether 101 or 103. The red numbers are the odd numbers in a increasing order and the blue numbers are the even numbers in a decreasing order.