IMO Shortlist 2001 problem N5


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Dodao/la: arhiva
2. travnja 2012.
2001 IMO shortlist tb
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Let a > b > c > d be positive integers and suppose that ac + bd = (b+d+a-c)(b+d-a+c). Prove that ab + cd is not prime.
Izvor: Međunarodna matematička olimpijada, shortlist 2001