1957 AHSME Problems/Problem 32

Problem

The largest of the following integers which divides each of the numbers of the sequence $1^5 - 1,\, 2^5 - 2,\, 3^5 - 3,\, \cdots, n^5 - n, \cdots$ is:

$\textbf{(A)}\ 1 \qquad \textbf{(B)}\ 60 \qquad \textbf{(C)}\ 15 \qquad \textbf{(D)}\ 120\qquad \textbf{(E)}\ 30$

Solution

$\boxed{\textbf{(E) }30}$ .

1957 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 31	Followed by Problem 33
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1957 AHSME Problems/Problem 32

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