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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