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p^x = y^3 + 1 - All-Russian MO 2003 Regional (R4) 11.1

Source:

September 17, 2024
number theorydiophantineDiophantine equation

Problem Statement

Find all prime pp, for each of which there are such natural x x and yy such that px=y3+1p^x = y^3 + 1.
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