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Solving 2^a + 5^b + 1 = n! in non-negative integers

Source: 2023 Abelkonkurransen Finale, Problem 3a

March 12, 2024
number theoryDiophantine equation

Problem Statement

Find all non-negative integers nn, aa, and bb satisfying 2a+5b+1=n!.2^a + 5^b + 1 = n!.
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