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2020 Macedonian Junior BMO TST- P3

Source: 2020 Junior Macedonian Mathematical Olympiad

September 7, 2020
number theoryFermat s Little Theoremmodular arithmeticjmmo2020

Problem Statement

Solve the following equation in the set of integers
x5+2=3ā‹…101yx^5 + 2 = 3 \cdot 101^y.
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