Four integers are marked on a circle. On each step we simultaneously replace each number by the difference between this number and next number on the circle, moving in a clockwise direction; that is, the numbers
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are replaced by
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Is it possible after 1996 such to have numbers
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such the numbers
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are primes?
%V0
Four integers are marked on a circle. On each step we simultaneously replace each number by the difference between this number and next number on the circle, moving in a clockwise direction; that is, the numbers $a,b,c,d$ are replaced by $a-b,b-c,c-d,d-a.$ Is it possible after 1996 such to have numbers $a,b,c,d$ such the numbers $|bc-ad|, |ac - bd|, |ab - cd|$ are primes?