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Find the greatest exponent $k$

Source: 13-th Hungary-Israel Binational Mathematical Competition 2002

April 7, 2007
number theory proposednumber theory

Problem Statement

Find the greatest exponent kk for which 2001k2001^{k} divides 200020012002+2002200120002000^{2001^{2002}}+2002^{2001^{2000}}.
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