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2018 | ( 1+2^n+3^n+4^n)

Source: 2018 China North Mathematical Olympiad Grade 11 Test 2 P4

June 24, 2019
number theory

Problem Statement

Prove that there exist infinite positive integer n,n, such that 2018∣(1+2n+3n+4n).2018 | \left( 1+2^n+3^n+4^n \right).
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