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National and Regional ContestsMoldova ContestsMoldova National Olympiad2000 Moldova National OlympiadProblem 672!|n^8-n^2 (Moldova 2000 Grade 9 P6)

72!|n^8-n^2 (Moldova 2000 Grade 9 P6)

Source:

April 26, 2021

number theory

Problem Statement

Find all nonnegative integers

n

for which

n^8-n^2

is not divisible by

72

.

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