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?
are replaced by
Is it possible after 1996 such to have numbers
such the numbers
are primes? Izvor: Međunarodna matematička olimpijada, shortlist 1996
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