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Prime Ratio Possibility (Posted on 2015-09-11) Difficulty: 2 of 5
Is it possible to place 2015 different positive integers around a circle so that for any two adjacent numbers, the smaller integer always divides the larger integer and the ratio of the larger to the smaller is a prime number?

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No Solution Yet Submitted by K Sengupta    
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Some Thoughts Other numbers | Comment 2 of 3 |
If 2015 were any even number this is easily done.
Let a,b,c,etc be primes.

1
/ \
a b
ac bc
acd bcd
acde bcde
... ...
\ /
abcde...

  Posted by Jer on 2015-09-11 11:47:59
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