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1^n + 2^n + 3^n + 4^n ending in k zeros

Source: Switzerland - 2004 Swiss MO Final Round p6

December 26, 2022
number theorylast digits

Problem Statement

Determine all kk for which there exists a natural number n such that 1n+2n+3n+4n1^n + 2^n + 3^n + 4^n with exactly kk zeros at the end.
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