Thursday, September 16, 2010
6th Balkan Mathematical Olympiad Problems 1989
6th Balkan Mathematical Olympiad Problems 1989A1. Find all integers which are the sum of the squares of their four smallest positive divisors. A2. A prime p has decimal digits pnpn-1...p0 with pn > 1. Show that the polynomial pnxn + pn-1xn-1 + ... + p1x + p0 has no factors which are polynomials with integer coefficients and degree strictly between
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