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IMO Shortlist 2002 problem N3

Kvaliteta:

  Avg: 0.0

Težina:

  Avg: 7.0

Dodao/la: arhiva
April 2, 2012

2002 shortlist tb

Let be distinct primes greater than . Show that has at least divisors.

%V0 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.