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SAMO Problem 6: Diophantine equation $20^m - 10m^2 + 1 = 19^n$

Source: South African Mathematics Olympiad 2019, Problem 6

July 25, 2019
number theoryDiophantine equation

Problem Statement

Determine all pairs (m,n)(m, n) of non-negative integers that satisfy the equation 20māˆ’10m2+1=19n. 20^m - 10m^2 + 1 = 19^n.
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