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0362 number theory 3rd edition Round 6 p2

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May 9, 2021
number theory3rd edition

Problem Statement

Let a1,a2,...,a2004a_1, a_2, ..., a_{2004} be integer numbers such that for all positive integers nn the number An=a1n+a2n+...+a2004nA_n = a^n_1 + a^n_2 + ...+ a^n_{2004} is a perfect square. What is the minimal number of zeros within the 20042004 numbers?
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