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2014 divides 53n^{55}- 57n^{53} + 4n

Source: 2014 Saudi Arabia Pre-TST 2.1

September 13, 2020
number theorydividesdivisible

Problem Statement

Prove that 20142014 divides 53n55āˆ’57n53+4n53n^{55}- 57n^{53} + 4n for all integer nn.
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