IMO Shortlist 2002 problem N3


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2. travnja 2012.
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Let p_1,p_2,\ldots,p_n be distinct primes greater than 3. Show that 2^{p_1p_2\cdots p_n}+1 has at least 4^n divisors.
Izvor: Međunarodna matematička olimpijada, shortlist 2002