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(n -1)2^{n - 1} + 5 = m^2 + 4m

Source: OLCOMA Costa Rica National Olympiad, Final Round, 2016 Shortlist N3 day2

September 24, 2021

Diophantine equationdiophantinenumber theory

Problem Statement

Find all natural values of

n

and

m

, such that

(n -1)2^{n - 1} + 5 = m^2 + 4m