IMO Shortlist 1996 problem N1
Kvaliteta:
Avg: 2,0Težina:
Avg: 4,5 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
are replaced by
Is it possible after 1996 such to have numbers
such the numbers
are primes?
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Izvor: Međunarodna matematička olimpijada, shortlist 1996