MathDB

1

Part of 2001 Austrian-Polish Competition

Problems(1)

Sum of powers

Source: APMC 2001

4/17/2006
Determine the number of positive integers aa, so that there exist nonnegative integers x0,x1,…,x2001x_0,x_1,\ldots,x_{2001} which satisfy the equation ax0=∑i=12001axi \displaystyle a^{x_0} = \sum_{i=1}^{2001} a^{x_i}
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